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NDA Quadratic Equation PYQs with Solutions

157 previous year questions from Quadratic Equation (NDA Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

157 questionsMathematics2010–2026Answers + solutions

About Quadratic Equation PYQs

Quadratic Equation has 157 previous year questions in the Quantrex Academy NDA Mathematics bank. The 157 questions in this list come from NDA (157), spanning 2010 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 4
  • 2025: 10
  • 2024: 10
  • 2023: 9
  • 2022: 6
  • 2021: 11
  • 2020: 3
  • 2019: 15
  • 2018: 5
  • 2017: 10
  • 2016: 12
  • 2015: 8

Quadratic Equation questions with solutions

1

For a given k , what is the minimum value of x^2+kx+k^2 ?

NDA 2026 Solution View → 2

If the highest degree coefficient is equal to 1 , then what is the total number of quadratic equations which are unchanged on squaring their roots ?

NDA 2026 Solution View → 3

Let α and β be the roots of the quadratic equation x^2-2bx+c^2=0 where b , c are positive real numbers. Let A be the arithmetic mean of α and β ; and G be the geometric mean of α

NDA 2026 Solution View → 4

Consider the following statements : I. x + x+1=0 has two irrational roots. II. 5 x -x-4=0 has two rational roots. Which of the statements given above is/are correct ?

NDA 2026 Solution View → 5

For the following two (02) items: Let f(x) = ax^2 + bx + c be a quadratic polynomial such that f(1) = f(4) = 2 . Further, 2 is a root of f(x) = 0 . What is (a + b + c) equal to?

NDA 2025 Solution View → 6

For the following two (02) items: Let α and β be the roots of the quadratic equation x^2 + ( _ 0.5 (a^2))x + ( _ 0.5 (a^2))^4 = 0 , where a^2 ≠ 1 and _ 0.5 (a^2) > 0 . Further

NDA 2025 Solution View → 7

For the following two (02) items: Let f(x) = ax^2 + bx + c be a quadratic polynomial such that f(1) = f(4) = 2 . Further, 2 is a root of f(x) = 0 . What is the other root of f(x)

NDA 2025 Solution View → 8

If one root of the equation x^2 - kx + k = 0 exceeds the other by 2 3 , then which one of the following is a value of k ?

NDA 2025 Solution View → 9

For the following two (02) items: Let α and β be the roots of the quadratic equation x^2 + ( _ 0.5 (a^2))x + ( _ 0.5 (a^2))^4 = 0 , where a^2 ≠ 1 and _ 0.5 (a^2) > 0 . Further

NDA 2025 Solution View → 10

If x = (1111)_2 , y = (1001)_2 and z = (110)_2 , then what is x^3 - y^3 - z^3 - 3xyz equal to?

NDA 2025 Solution View → 11

If x^2 - x + 1 = 0 , then what is (x - (1)/(x))^2 + (x - (1)/(x))^4 + (x - (1)/(x))^8 equal to?

NDA 2025 Solution View → 12

If x + (5)/(y) = 4 and y + (5)/(x) = -4 , then what is (x + y) equal to?

NDA 2025 Solution View → 13

For the following two (02) items: Consider the equation abx^2 + bcx + ca = cax^2 + abx + bc . If the roots of the equation are equal, then a , b , c are in

NDA 2025 Solution View → 14

For the following two (02) items: Consider the equation abx^2 + bcx + ca = cax^2 + abx + bc . If the roots of the equation are equal, then which one of the following is correct?

NDA 2025 Solution View → 15

If n is a root of the equation x^2+p x+m=0 and m is a root of the equation x^2+p x+n=0 , where m ≠ n , then what is the value of p+m+n ?

NDA 2024 Solution View → 16

The roots of the equation 7 x^2-6 x+1=0 are α and β , where 2 α and 2 β are the angles of a triangle. Which one of the following is correct?

NDA 2024 Solution View → 17

Paragraph: The roots of the quadratic equation a^2(b^2-c^2) x^2+b^2 (c²-a²) x+c² (a^2-b²)=0 are equal (a^2 ≠ b² ≠ c²) . Question: Which one of the following statements is correct?

NDA 2024 Solution View → 18

What is the number of real roots of the equation (x-1)^2+(x-3)^2+(x-5)^2=0 ?

NDA 2024 Solution View → 19

If f(x)=9 x-8 x such that g(x)=f(x)-1 , then which one of the following is correct?

NDA 2024 Solution View → 20

Paragraph: The roots of the quadratic equation a^2(b^2-c^2) x^2+b^2 (c²-a²) x+c² (a^2-b²)=0 are equal (a^2 ≠ b² ≠ c²) . Question: Which one of the following is a root of the

NDA 2024 Solution View → 21

If - 2 and 3 are roots of the equation a_0+a_1 x+a_2 x^2+a_3 x^3+x^4=0 where a_0, a_1, a_2, a_3 are integers, then which one of the following is correct?

NDA 2024 Solution View → 22

If a, b and c(a 0, c 0) are in GP, then consider the following in respect of the equation a x^2+b x+c=0: 1. The equation has imaginary roots. 2. The ratio of the roots of the

NDA 2024 Solution View → 23

Under which one of the following conditions does the equation ( β-1) x^2+( β) x+ β=0 in x have a real root for β ∈[0, π] ?

NDA 2024 Solution View → 24

If x^2+m x+n is an integer for all integral values of x , then which of the following is/are correct? 1. m must be an integer 2. n must be an integer Select the correct answer

NDA 2024 Solution View → 25

Consider the equation (1-x)^4+(5-x)^4=82 What is the sum of all the roots of the equation?

NDA 2023 Solution View → 26

A quadratic equation is given by (a+b) x^2-(a+b+c) x+k=0 , where a, b, c are real. If k=(c)/(2),(c ≠ 0) , then the roots of the equation are:

NDA 2023 Solution View → 27

For how many integral values of k , the equation x^2-4 x+k=0 , where k is an integer, has real roots and both of them lie in the interval (0,5) ?

NDA 2023 Solution View → 28

If 2-i 3 where i= -1 is a root of the equation x^2+a x+b=0 , then what is the value of (a+b) ?

NDA 2023 Solution View → 29

α and β are distinct real roots of the quadratic equation x^2+ax+b=0 . Which of the following statements is/are sufficient to find α ? 1. α+β=0, α^2+β^2=2 2. α β^2=-1, a=0 Select

NDA 2023 Solution View → 30

Paragraph: Consider the following for the next two (02) items that follow: A quadratic equation is given by (3+2 2 ) x^2-(4+2 3 ) x+(8+4 3 )=0 Question: What is the HM of the

NDA 2023 Solution View → 31

Paragraph: Consider the following for the next two (02) items that follow: A quadratic equation is given by (3+2 2 ) x^2-(4+2 3 ) x+(8+4 3 )=0 Question: What is the GM of the root

NDA 2023 Solution View → 32

Consider the equation (1-x)^4+(5-x)^4=82 What is the number of real roots of the equation?

NDA 2023 Solution View → 33

A quadratic equation is given by (a+b) x^2-(a+b+c) x+k=0 , where a, b, c are real. If k = c, then the roots of the equation are:

NDA 2023 Solution View → 34

Let p, q(p > q) be the roots of the quadratic equation x^2+b x+c=0 where c > 0 . If p^2+q^2-11 p q=0 , then what is p-q equal to?

NDA 2022 Solution View → 35

Let α and β(α > β) be the roots of the equation x^2-8 x+q=0 . If α^2-β^2=16 , then what is the value of q ?

NDA 2022 Solution View → 36

Let α and β be the roots of the equation x^2+p x+q=0 . If α^3 and β^3 are the roots of the equation x^2+m x+n=0 , then what is the value of m+n ?

NDA 2022 Solution View → 37

For how many quadratic equations, the sum of roots is equal to the product of roots?

NDA 2022 Solution View → 38

If the roots of the equation x^2-a x-b x-c x+b c+c a=0 are equal, then which one of the following is correct?

NDA 2022 Solution View → 39

Let α and β be the roots of the equation x^2-a x-b x+a b-c=0 . What is the quadratic equation whose roots are a and b ?

NDA 2022 Solution View → 40

The quadratic equation 3 x^2-(k^2+5 k) x+3 k^2-5 k=0 has real roots of equal magnitude and opposite sign. Which one of the following is correct?

NDA 2021 Solution View → 41

If the roots of the equation 4 x^2-(5 k+1) x+5 k=0 differ by unity, then which one of the following is a possible value of k ?

NDA 2021 Solution View → 42

If p and q are the non-zero roots of the equation x^2+p x+q=0 , then how many possible values can q have?

NDA 2021 Solution View → 43

If θ and θ are the roots of the equation a x^2+b x+c=0 , then which one of the following is correct?

NDA 2021 Solution View → 44

What is the probability that the roots of the equation x^2+x+n=0 are real, where n ∈ ℕ and n < 4 ?

NDA 2021 Solution View → 45

If the roots of the quadratic equation x^2+2 x+k=0 are real, then

NDA 2021 Solution View → 46

If α and β are the roots of the equation 4 x^2+2 x-1=0 , then which one of the following is correct?

NDA 2021 Solution View → 47

If one root of 5 x^2+26 x+k=0 is reciprocal of the other, then what is the value of k ?

NDA 2021 Solution View → 48

If x+y=20 and P=x y , then what is the maximum value of P ?

NDA 2021 Solution View → 49

If k is one of the roots of the equation x(x+1)+1=0 , then what is its other root?

NDA 2021 Solution View → 50

Consider all the real roots of the equation x^4-10 x^2+9=0 . What is the sum of the absolute values of the roots?

NDA 2021 Solution View → 51

The roots α and β of a quadratic equation, satisfy the relations α+β=α^2+β^2 and α β=α^2 β^2 . What is the number of such quadratic equations?

NDA 2020 Solution View → 52

If f(x)=3 x^2-5 x+p and f(0) and f(1) are opposite in sign, then which of the following is correct?

NDA 2020 Solution View → 53

If α and β are the roots of the equation x^2-3 x+2=0 , then what is (α+β) equal to ?

NDA 2020 Solution View → 54

If both p and q belong to the set (1,2,3,4) , then how many equations of the form p x^2+q x+1=0 will have real roots?

NDA 2019 Solution View → 55

What is the value of k for which the sum of the squares of the roots of 2 x^2-2(k-2) x-(k+1)=0 is minimum?

NDA 2019 Solution View → 56

If the roots of the equation a(b-c) x^2+b(c-a) x+c(a-b)=0 are equal, then which one of the following is correct?

NDA 2019 Solution View → 57

Under which one of the following conditions will the quadratic equation x^2+m x+2=0 always have real roots?

NDA 2019 Solution View → 58

How many real roots does the equation x^3+3|x|+2=0 have?

NDA 2019 Solution View → 59

If α and β are the roots of x^2+x+1=0 , then what is ∑_ j=0 ^3 ( alpha^j+β^ j) equal to?

NDA 2019 Solution View → 60

Consider the following statements in respect to the quadratic equation 4(x-p)(x-q)-r^2=0 where p, q and r are real numbers : 1. The roots are real 2. The roots are equal if p=q

NDA 2019 Solution View → 61

Which one of the following is the second degree polynomial function f(x) where f(0)=5, f(-1)=10 and f(1)=6 ?

NDA 2019 Solution View → 62

If p and q are the roots of the equation x^2-30 x+221=0 , what is the value of p^3+q^3 ?

NDA 2019 Solution View → 63

Paragraph: Let f(x)=x^2+2 x-5 and g(x)=5 x+30 Question: What are the roots of the equation g[f(x)]=0 ?

NDA 2019 Solution View → 64

What are the roots of the equation |x^2-x-6|=x+2 ?

NDA 2019 Solution View → 65

The equation px^2+qx+r=0 (where p, q, r , all are positive) has distinct real roots a and b. Which one of the following is correct?

NDA 2019 Solution View → 66

If A=\ x ∈ ℤ: x^3-1=0\ and B=\ x ∈ ℤ: x^2+x+.1=0\ , where Z is set of complex numbers, then what is A ∩ B equal to ?

NDA 2019 Solution View → 67

The number of real roots for the equation x^2+9|x|+20=0 is

NDA 2019 Solution View → 68

If the roots of the equation x^2+p x+q=0 are 19^ ^ ∘ and 26^ ^ ∘ , then which one of the following is correct ?

NDA 2019 Solution View → 69

If α and β(0 < α < β < ) are the roots of the quadratic equation 4 x^2-3=0 , then what is the value of α × β ?

NDA 2018 Solution View → 70

Suppose f(x) is such a quadrant expression that it is positive for all real x . If g(x)=f(x)+f^ (x)+f^ (x) , then for anyreal x . Then for any real x .

NDA 2018 Solution View → 71

The ration of roots of the equations a x^2+b x+c=0 and p x^2+q x+r=0 are equal. If D_1 and D_2 are respective discriminates, then what is (D_1)/(D_2) equal to?

NDA 2018 Solution View → 72

The equation |1-x|+x^2=5 has

NDA 2018 Solution View → 73

If α and β(≠ 0) are the roots of the quadratic equation x^2+α x-β=0 , then the quadratic expression -x^2+α x+β where x ∈ R has

NDA 2018 Solution View → 74

The roots of the equation (q-r) x^2+(r-p) x+(p-q)=0 are

NDA 2017 Solution View → 75

It is given that the roots of the equation x^2-4 x- _3 P=0 are real. For this, the minimum value of P is

NDA 2017 Solution View → 76

If α and β are the roots of the equation 3 x^2+2 x+1=0 , then the equation whose roots are α+β^ -1 and β+α^ -1 is

NDA 2017 Solution View → 77

If the difference between the roots of the equation x^2+k x+1=0 is strictly less than 5 , where |k| ≥ 2 , then k can be any element of the interval

NDA 2017 Solution View → 78

If α and β are the roots of the equation x^2+b x+c=0 with b ≠ 0 , then the value of (α+β) is

NDA 2017 Solution View → 79

If the roots of the equation x^2+p x+q=0 are in the same ratio as those of the equation x^2+l x+m=0 , then which one of the following is correct?

NDA 2017 Solution View → 80

The sum of the roots of the equation ax^2+x+c=0 (where a and c are non-zero) is equal to the sum of the reciprocals of their squares. Then a, ca^2, c^2 are in

NDA 2017 Solution View → 81

If the graph of a quadratic polynomial lies entirely above x -axis, then which one of the following is correct?

NDA 2017 Solution View → 82

The sum of the roots of the equation x^2+b x+c=0 (where b and c are non-zero) is equal to the sum of the reciprocals of their squares. Then 1 c , b, c b are in

NDA 2017 Solution View → 83

If S=(x: x^2+1=0, x. is real ) , then S is

NDA 2017 Solution View → 84

If c > 0 and 4 a+c < 2 b , then a x^2-b x+c=0 has a root in which one of the following intervals?

NDA 2016 Solution View → 85

If both the roots of the equation x^2-2 k x+k^2-4=0 lie between -3 and 5 , then which one of the following is correct?

NDA 2016 Solution View → 86

Paragraph: Let α and β be the roots of the equation x^2-(1-2 a^2) x+(1-2 a^2)=0 Question: Under what condition does the above equation have real roots?

NDA 2016 Solution View → 87

Paragraph: Let α and β be the roots of the equation x^2-(1-2 a^2) x+(1-2 a^2)=0 Question: Under what condition is (1)/(α^2)+(1)/(β^2) < 1 ?

NDA 2016 Solution View → 88

Paragraph: 2 x^2+3 x-α-0 has roots -2 and β while the equation x^2-3 mx+2 m^2=0 has both roots positive, where α > 0 and β > 0. Question: What is the value of α ?

NDA 2016 Solution View → 89

Paragraph: 2 x^2+3 x-α-0 has roots -2 and β while the equation x^2-3 mx+2 m^2=0 has both roots positive, where α > 0 and β > 0. Question: If β, 2,2 m are in GP, then what is the

NDA 2016 Solution View → 90

If x^2+p x+4 > 0 for all real values of x , then which one of the following is correct?

NDA 2016 Solution View → 91

Given that α and β are the roots of the equation x^2+b x+c=0 with b ≠ 0 . What is (α+β) equal to?

NDA 2016 Solution View → 92

Given that α and β are the roots of the equation x^2+bx+c=0 with b ≠ 0 . What is (α+β) α β equal to?

NDA 2016 Solution View → 93

Let α and β(α 0 and c < 0 . Consider the following: 1. β < -α 2. β < |α| Which of the above is/are correct?

NDA 2016 Solution View → 94

Let α and β(α 0 and c 0 2. α^2 β+β^2 α > 0 Which of the above is/are correct?

NDA 2016 Solution View → 95

If one root of the equation (1-m) x^2+1 x+1=0 is double the other and 1 is real, then what is the greatest value of m ?

NDA 2016 Solution View → 96

The number of real roots of the equation x^2-3|x|+2=0 is

NDA 2015 Solution View → 97

Consider the following statements in respect of the given equation : (x^2+2)^2+8 x^2=6 x (x²+2) 1. All the roots of the equation are complex. 2. The sum of all the roots of the

NDA 2015 Solution View → 98

If the roots of the equation x^2-nx+m=0 differ by 1 , then

NDA 2015 Solution View → 99

If 2 p+3 q=18 and 4 p^2+4 p q-3 q^2-36=0 , then what is (2 p+q) equal to?

NDA 2015 Solution View → 100

In solving a problem that reduces to a quadratic equation, one student makes a mistake in the constant term and obtains 8 and 2 for roots. Another student makes a mistake only in

NDA 2015 Solution View → 101

If the sum of the roots of the equation a x^2+b x+c=0 is equal to the sum of their squares, then

NDA 2015 Solution View → 102

The coefficient of ^ 99 in the expansion of (x-1)(x-2)(x-3) …. . (x-100) is

NDA 2015 Solution View → 103

If m and n are the roots of the equation (x+p)(x+q)-k=0 , then the roots of the equation (x-m)(x-n)+k=0 are

NDA 2015 Solution View → 104

Let f(x)=a x^2+b x+c such that f(1)=f(-1) and a, b, c are in Arithmetic Progression. What is the value of b ?

NDA 2014 Solution View → 105

Every quadratic quation a x^2+b x+c=0 where a, b , c ∈ R, a ≠ 0 has

NDA 2014 Solution View → 106

If α, β are the roots of a x^2+b x+c=0 and α+h , β+h are the roots of p x^2+q x+r=0 , then what is h equal to?

NDA 2014 Solution View → 107

If α and β are the roots of the equation a x^2+b x+c=0 , where a ≠ 0 , then (a α+b)(a β+b) is equal to:

NDA 2014 Solution View → 108

The roots of the equation 2 a^2 x^2-2 a b x+b^2=0 when a 0 are:

NDA 2014 Solution View → 109

The roots of the equation x^2-8 x+16=0

NDA 2013 Solution View → 110

What is the difference in the roots of the equation x^2-10 x+9=0 ?

NDA 2013 Solution View → 111

If α, β are the roots of the equation x^2+x+2=0 , then what is α^ 10 +β^ 10 α^ -10 +β^ -10 equal to?

NDA 2013 Solution View → 112

If 4^x-6.2^x+8=0 , then the values of x are

NDA 2013 Solution View → 113

If the roots of a quadratic equation a x^2+b x+c=0 are α and β , then the quadratic equation having roots α^2 and β^2 is

NDA 2013 Solution View → 114

If the roots of the equation 3 a x^2+2 b x+c=0 are in the ratio 2: 3 , then which one of the following is correct?

NDA 2013 Solution View → 115

If the sum of the roots of a quadratic equation is 3 and the product is 2 , then the equation is

NDA 2013 Solution View → 116

The area of a rectangle whose length is five more than twice its width is 75 square unit. The length is

NDA 2013 Solution View → 117

If α, β are the roots of the equation a x^2+b x+b=0 , then what is the value of (α)/(β) + (β)/(α) + (b)/(a) ?

NDA 2013 Solution View → 118

The quadratic equation x^2+b x+4=0 will have real roots if

NDA 2013 Solution View → 119

How many real roots does the quadratic equation f(x)=x^2+3|x|+2=0 have?

NDA 2013 Solution View → 120

If a and b are rational and b is not perfect square, then the quadratic equation with rational coefficients whose one root is 3 a+ b is

NDA 2013 Solution View → 121

If α and β are the roots of the equation x^2+b x+c=0 , then what is the value of α^ -1 +β^ -1 ?

NDA 2013 Solution View → 122

If the roots of a quadratic equation are m+n and m-n , then the quadratic equation will be :

NDA 2012 Solution View → 123

If α, β are the roots of x^2+p x-q=0 and γ, δ are roots of x^2-p x+r=0 then what is (β+γ)(β+δ) equal to?

NDA 2012 Solution View → 124

What is the sum of the squares of the roots of the equation x^2+2 x-143=0 ?

NDA 2012 Solution View → 125

If the roots of the quadratic equation 3 x^2-5 x+p=0 are real and unequal, then which one of the following is correct?

NDA 2012 Solution View → 126

For the next Two (2) questions that follow: The equation formed by multiplying each root of a x^2+b x+c=0 by 2 is x^2+36 x+24=0 . The equation formed by multiplying each root of a

NDA 2012 Solution View → 127

The equation formed by multiplying each root of a x^2+b x+c=0 by 2 is x^2+36 x+24=0 . Which one of the following is correct?

NDA 2012 Solution View → 128

If the difference between the roots of a x^2+b x+c=0 is 1 , then which one of the following is correct?

NDA 2012 Solution View → 129

If one of the roots of the equation x^2+a x-b=0 is 1 , then what is (a-b) equal to?

NDA 2012 Solution View → 130

If α and β are the roots of the equation x^2-q(1+x)-r=0 , then what is (1+α)(1+β) equal to?

NDA 2012 Solution View → 131

If the equations x^2-p x+q=0 and x^2-a x+b=0 have a common root and the roots of the second equation are equal, then which one of the following is correct?

NDA 2011 Solution View → 132

If the roots of the equation x^2-4 x- _3 N=0 are real, then what is the minimum value of N ?

NDA 2011 Solution View → 133

What are the roots of the equation 2(y+2)^2-5(y+2)=12 ?

NDA 2011 Solution View → 134

If α and β are the roots of the equation 4 x^2+3 x+7=0 , then what is the value of (α^ -2 . .+β^ -2 )?

NDA 2011 Solution View → 135

If p, q, r are rational numbers, then the roots of the equation x^2-2 p x+p^2-q^2+2 q r-r^2=0 are

NDA 2011 Solution View → 136

If sum of squares of the roots of the equation x^2+k x-b=0 is 2 b , what is k equal to?

NDA 2011 Solution View → 137

If 3 is the root of the equation x^2-8 x+k=0 , then what is the value of k ?

NDA 2011 Solution View → 138

If one root of the equation a x^2+b x+c=0, a ≠ 0 is reciprocal of the other root, then which one of the following is orrect?

NDA 2011 Solution View → 139

One of the roots of the equadratic equation a x^2+b x+c=0, a ≠ 0 is positive and the other root is negative. The condition for this to happen is

NDA 2011 Solution View → 140

What is the solution set for the equation x^4-26 x^2+25=0 ?

NDA 2011 Solution View → 141

The equation x^2-4 x+29=0 has one root 2+5 i . What is the other root? (i= -1 )

NDA 2011 Solution View → 142

Let α, β be the roots of the equation (x-a)(x-b)=c, c ≠ 0 . Then the roots of the equation (x-α)(x-β)+c=0 are

NDA 2011 Solution View → 143

If one of the roots of the equation a(b-c) x^2+b(c-a) x+c(a-b)=0 is 1 , what is the second root?

NDA 2011 Solution View → 144

If the roots of the equation 3 x^2-5 x+q=0 are equal, then what is the value of q ?

NDA 2011 Solution View → 145

What is the condition that one root of the equation a x^2+b x+c=0, a ≠ 0 should be double the other?

NDA 2011 Solution View → 146

What is the sum of the roots of the equations (2- 3 ) x^2-(7-4 3 ) x+(2+ 3 )=0 ?

NDA 2011 Solution View → 147

If α and β are the roots of the equation x^2-2 x+4=0 , then what is the value of α^3+β^3 ?

NDA 2010 Solution View → 148

If the equations x^2+k x+64=0 and x^2-8 x+k=0 have real roots, then what is the value of k ?

NDA 2010 Solution View → 149

If the roots of the equation (a^2+b^2) x^2-2 b(a+c) x+(b^2+c^2)=0 are equal, then which one of the following is correct?

NDA 2010 Solution View → 150

Consider the equation (x-p)(x-6)+1=0 having integer coefficients. If the equation has integral roots, then what values can p have?

NDA 2010 Solution View → 151

If the product of the roots of he equation x^2-5 x+k=15 is -3 , then what is the value of k ?

NDA 2010 Solution View → 152

If α, β are the roots of the quadratic equation x^2-x+1=0 , then which one of the following is correct?

NDA 2010 Solution View → 153

If the equation x^2-b x+1=0 does not possess real roots, then which one of the following is correct?

NDA 2010 Solution View → 154

If p and q are the roots of the equation x^2-p x+q=0 , then what are the values of p and q respectively?

NDA 2010 Solution View → 155

If 1 2- -2 is one of the roots of a x^2+b x+c=0 where a, b, c are real, then what are the values of a, b , c respectively?

NDA 2010 Solution View → 156

Which of the following are the two roots of the equation (x^2+2)^2+8 x^2=6 x(x^2+2) ?

NDA 2010 Solution View → 157

If p and q are positive integers, then which one of the following equations has p- q as one of its roots?

NDA 2010 Solution View →
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Related NDA Mathematics chapters

Trigonometric Ratios & Identities (295)Statistics (236)Probability (201)Sequences and Series (182)Three Dimensional Geometry (176)Matrices (153)Determinants (130)Functions (129)Permutation and Combination (129)Differential Equations (127)Definite Integration (110)Differentiation (104)

Quadratic Equation in other exams

JEE Quadratic Equation (517)BITSAT Quadratic Equation (24)