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Quadratic Equation — JEE Main & Advanced Mathematics PYQs

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

517 questionsMathematicsSolutions on every page
1

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I List-II (P) If and are the distinct roots of the equation x^2 + x + 1 = 0 , then th

JEE Advanced 2026 Solution View → 2

Let a, b, c be positive integers in arithmetic progression such that the equation ax^2 + bx + c = 0 has only integer solutions. Then which of the following statements is (are) TRUE

JEE Advanced 2026 Solution View → 3

Consider the quadratic equation (n^2 - 2n + 2)x^2 - 3x + (n^2 - 2n + 2)^2 = 0 , n R . Let be the minimum value of the product of its roots and be the maximum value of the sum of it

JEE Main 2026 Solution View → 4

Let one root of the quadratic equation in x : (k^2 - 15k + 27)x^2 + 9(k-1)x + 18 = 0 be twice the other. Then the length of the latus rectum of the parabola y^2 = 6kx is equal to:

JEE Main 2026 Solution View → 5

Let e₁ and e₂ be two distinct roots of the equation x^2 - ax + 2 = 0 . Let the sets a R : e₁ and e₂ are the eccentricities of hyperbolas = ( , ) , and a R : e₁ and e₂ are the eccen

JEE Main 2026 Solution View → 6

Let , be the roots of the equation x^2 - x + p = 0 and , be the roots the equation x^2 - 4x + q = 0 ; p, q Z . If , , , are in G.P., then |p + q| equals :

JEE Main 2026 Solution View → 7

Let a, b C . Let , be the roots of the equation x^2 + ax + b = 0 . If - = 11 and ^2 - ^2 = 3i 11 , then ( ^3 - ^3)^2 is equal to:

JEE Main 2026 Solution View → 8

Let A, B , where A, B (- 2 , 2 ) , be the roots of the quadratic equation x^2 - 2x - 5 = 0 . Then 20 ^2 ( A+B 2 ) is equal to:

JEE Main 2026 Solution View → 9

If =1 and =1+i 2 , where i= -1 are two roots of the equation x^3+ax^2+bx+c=0 , a,b,c R , then _ -1 ¹(x^3+ax^2+bx+c)dx is equal to:

JEE Main 2026 Solution View → 10

If the quadratic equation ( +2)x^2-3 x+4 =0 , -2 , has two positive roots, then the number of possible integral values of is:

JEE Main 2026 Solution View → 11

Let , be the roots of the equation x^2 - 3x + r = 0 , and 2 , 2 be the roots of the equation x^2 + 3x + r = 0 . If the roots of the equation x^2 + 6x = m are 2 + + 2r and - 2 - r 2

JEE Main 2026 Solution View → 12

Let a, b, c 1, 2, 3, 4 . If the probability, that ax^2 + 2 2 ,bx + c > 0 for all x R , is m n , (m, n) = 1 , then m + n is equal to _______.

JEE Main 2026 Solution View → 13

Let S = x³+a x²+b x+c: a, b, c ~N . and .a, b, c 20 be a set of polynomials. Then the number of polynomials in S, which are divisible by x²+2 , is

JEE Main 2026 Solution View → 14

If , , where < , are the roots of the equation x²-( +3) x+3=0 such that 1 - 1 = 1 3 , then the sum of all possible values of is

JEE Main 2026 Solution View → 15

The smallest positive integral value of a , for which all the roots of x⁴-a x²+9=0 are real and distinct, is equal to

JEE Main 2026 Solution View → 16

The sum of all the real solutions of the equation _ (x+3) (6 x²+28 x+30 )=5-2 _ (6 x+10) (x²+6 x+9 ) is equal to

JEE Main 2026 Solution View → 17

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then

JEE Main 2026 Solution View → 18

If and ( < ) are the roots of the equation (-2+ 3 )(| x -3|)+(x-6 x )+(9-2 3 )=0, x 0 , then + is equal to :

JEE Main 2026 Solution View → 19

Let , be the roots of the quadratic equation 12 x²-20 x+3 =0, Z . If 1 2 | - | 3 2 , then the sum of all possible values of is :

JEE Main 2026 Solution View → 20

Let and be the roots of the equation x²+2 a x+(3 a+10)=0 such that <1< . Then the set of all possible values of a is :

JEE Main 2026 Solution View → 21

The sum of all the roots of the equation (x-1)²-5|x-1|+6=0 , is :

JEE Main 2026 Solution View → 22

The sum of the squares of the roots of | x +2|^2+| x -2|-2=0 and the squares of the roots of x^2-2|x-3|-5=0 , is

JEE Main 2025 Solution View → 23

For t -1 , let _t and _t be the roots of the equation ((t+2)^ 1 7 -1 ) x^2+ ((t+2)^ 1 6 -1 )x+ ((t+2)^ 1 21 -1 )=0 If _ t -1⁺ _t=a and _ t -1⁺ _t=b , then 72(a+b)^2 is equal to ___

JEE Main 2025 Solution View → 24

The number of real roots of the equation x | x -2|+3| x -3|+1=0 is :

JEE Main 2025 Solution View → 25

Let the set of all values of p R , for which both the roots of the equation x^2-(p+2) x+(2 p+9)=0 are negative real numbers, be the interval ( , ] . Then -2 is equal to

JEE Main 2025 Solution View → 26

Consider the equation x ^2+4 x - n =0 , where n [20,100] is a natural number. Then the number of all distinct values of n , for which the given equation has integral roots, is equa

JEE Main 2025 Solution View → 27

Let and be the roots of x^2+ 3 x -16=0 , and and be the roots of x^2+3 x-1=0 . If P_n= ^n+ ^n and Q_n= ^n+ ^n , then P ₂₅+ 3 P ₂₄ 2 P ₂₃ + Q ₂₅- Q ₂₃ Q ₂₄ is equal to

JEE Main 2025 Solution View → 28

If the set of all a R - 1 , for which the roots of the equation (1-a) x^2+2(a-3) x+9=0 are positive is (- ,- ] [ , ) , then 2 + + is equal to _______ .

JEE Main 2025 Solution View → 29

Let P_n= ^n+ ^n, n N . If P₁₀=123, P₉=76 , P₈=47 and P₁=1 , then the quadratic equation having roots 1 and 1 is :

JEE Main 2025 Solution View → 30

If the set of all a R , for which the equation 2 x^2+(a-5) x+15=3 a has no real root, is the interval ( , ) , and X= x Z: x , then _ x X x^2 is equal to :

JEE Main 2025 Solution View → 31

The number of solutions of the equation ( ( 9 x - 9 x +2 ) ( 2 x - 7 x +3 )=0 ) is:

JEE Main 2025 Solution View → 32

The sum, of the squares of all the roots of the equation x^2+|2 x-3|-4=0 , is

JEE Main 2025 Solution View → 33

The product of all the rational roots of the equation (x^2-9 x+11 )^2-(x-4)(x-5)=3 , is equal to

JEE Main 2025 Solution View → 34

If the equation a ( b - c ) x ^2+ b ( c - a ) x + c ( a - b )=0 has equal roots, where a + c =15 and b = 36 5 , then a^2+c^2 is equal to

JEE Main 2025 Solution View → 35

Let _ and _ be the distinct roots of 2 x^2+( ) x-1=0, (0,2 ) . If m and M are the minimum and the maximum values of _ ^4+ _ ^4 , then 16(M+m) equals :

JEE Main 2025 Solution View → 36

Let f(x)=x^4+a x^3+b x^2+c be a polynomial with real coefficients such that f(1)=-9 . Suppose that i 3 is a root of the equation 4 x^3+3 a x^2+2 b x=0 , where i= -1 . If ₁, ₂, ₃ ,

JEE Advanced 2024 Solution View → 37

Let , ; > , be the roots of the equation x^2- 2 x- 3 =0 . Let P _n= ^n- ^n, n N . Then (11 3 -10 2 ) P ₁₀+(11 2 +10) P ₁₁-11 P ₁₂ is equal to

JEE Main 2024 Solution View → 38

Let , be the roots of the equation x^2+2 2 x-1=0 . The quadratic equation, whose roots are ^4+ ^4 and 1 10 ( ^6+ ^6 ) , is :

JEE Main 2024 Solution View → 39

The number of distinct real roots of the equation |x+1||x+3|-4|x+2|+5=0 , is

JEE Main 2024 Solution View → 40

The sum of all the solutions of the equation (8)^ 2 x -16 (8)^x+48=0 is :

JEE Main 2024 Solution View → 41

Let , be roots of x^2+ 2 x-8=0 . If U _ n = ^ n + ^n , then U ₁₀+ 2 U ₉ 2 U ₈ is equal to______

JEE Main 2024 Solution View → 42

Let , be the distinct roots of the equation x^2- (t^2-5 t+6 ) x+1=0, t R and a_n= ^n+ ^n . Then the minimum value of a₂₀₂₃+a₂₀₂₅ a₂₀₂₄ is

JEE Main 2024 Solution View → 43

Let x₁, x₂, x₃, x₄ be the solution of the equation 4 x^4+8 x^3-17 x^2-12 x+9=0 and (4+x₁^2 ) (4+x₂^2 ) (4+x₃^2 ) (4+x₄^2 )= 125 16 m . Then the value of m is

JEE Main 2024 Solution View → 44

The number of real solutions of the equation x|x+5|+2|x+7|-2=0 is_________

JEE Main 2024 Solution View → 45

If 2 and 6 are the roots of the equation a x^2+b x+1=0 , then the quadratic equation, whose roots are 1 2 a+b and 1 6 a+b , is :

JEE Main 2024 Solution View → 46

Let α and β be the roots of the equation p x 2 + q x − r = 0 , where p ≠ 0 . If p , q and r be the consecutive terms of a non-constant G.P and 1 α + 1 β = 3 4 , then the value of α

JEE Main 2024 Solution View → 47

Let S = x ∈ R : 3 + 2 x + 3 − 2 x = 10 . Then the number of elements in S is:

JEE Main 2024 Solution View → 48

Let a , b , c be the length of three sides of a triangle satisfying the condition a 2 + b 2 x 2 − 2 b a + c x + b 2 + c 2 = 0 . If the set of all possible values of x is in the int

JEE Main 2024 Solution View → 49

The number of solutions, of the equation e sin x − 2 e − sin x = 2 is

JEE Main 2024 Solution View → 50

Let S be the set of positive integral values of a for which a x 2 + 2 a + 1 x + 9 a + 4 x 2 - 8 x + 32 < 0 , ∀ x ∈ ℝ . Then, the number of elements in S is:

JEE Main 2024 Solution View → 51

For 0 < c < b < a , let ( a + b – 2 c ) x 2 + ( b + c – 2 a ) x + ( c + a – 2 b ) = 0 and α ≠ 1 be one of its root. Then, among the two statements (I) If α ∈ - 1 , 0 , then b canno

JEE Main 2024 Solution View → 52

The number of real solutions of the equation (x (x^2+3|x|+5|x-1|+6|x-2| )=0 ) is ______.

JEE Main 2024 Solution View → 53

Let ( , ) be roots of equation (x^2-70 x+ =0 ), where ( 2 , 3 ). If ( ) assumes the minimum possible value, then ( ( -1 + -1 )( +35) | - | ) is equal to :

JEE Main 2024 Solution View → 54

Let the set C = ( x , y ) ∣ x 2 - 2 y = 2023 , x , y ∈ ℕ . Then ∑ ( x , y ) ∈ C ( x + y ) is equal to _______.

JEE Main 2024 Solution View → 55

If α , β are the roots of the equation, x 2 - x - 1 = 0 and S n = 2023 α n + 2024 β n , then

JEE Main 2024 Solution View → 56

The number of real roots of the equation x x - 5 x + 2 + 6 = 0 , is

JEE Main 2023 Solution View → 57

Let &#945; , &#946; be the roots of the equation x 2 - 2 x + 2 = 0 Then &#945; 14 + &#946; 14 is equal to

JEE Main 2023 Solution View → 58

Let &#945; , &#946; be the roots of the quadratic equation x 2 + 6 x + 3 = 0 . Then &#945; 23 + &#946; 23 + &#945; 14 + &#946; 14 &#945; 15 + &#946; 15 + &#945; 10 + &#946; 10 is e

JEE Main 2023 Solution View → 59

The number of points, where the curve f ( x ) = e 8 x - e 6 x - 3 e 4 x - e 2 x + 1 , x &#8712; &#8477; cuts x -axis, is equal to............

JEE Main 2023 Solution View → 60

If a and b are the roots of the equation x 2 - 7 x - 1 = 0 , then the value of a 21 + b 21 + a 17 + b 17 a 19 + b 19 is equal to

JEE Main 2023 Solution View → 61

Let m and n be the numbers of real roots of the quadratic equations x 2 - 12 x + [ x ] + 31 = 0 and x 2 - 5 | x + 2 | - 4 = 0 respectively, where [ x ] denotes the greatest integer

JEE Main 2023 Solution View → 62

Let &#945; , &#946; , &#947; be the three roots of the equation x 3 + b x + c = 0 if &#946; &#947; = 1 = - &#945; then b 3 + 2 c 3 - 3 &#945; 3 - 6 &#946; 3 - 8 &#947; 3 is equal t

JEE Main 2023 Solution View → 63

The sum of all the roots of the equation x 2 - 8 x + 15 - 2 x + 7 = 0 is

JEE Main 2023 Solution View → 64

The number of integral values of k , for which one root of the equation 2 x 2 - 8 x + k = 0 lies in the interval 1 , 2 and its other root lies in the interval 2 , 3 , is :

JEE Main 2023 Solution View → 65

Let S = x : x &#8712; &#8477; and 3 + 2 x 2 - 4 + 3 - 2 x 2 - 4 = 10 . Then n S is equal to

JEE Main 2023 Solution View → 66

The equation e 4 x + 8 e 3 x + 13 e 2 x - 8 e x + 1 = 0 , x &#8712; R has :

JEE Main 2023 Solution View → 67

The number of real roots of the equation x 2 - 4 x + 3 + x 2 - 9 = 4 x 2 - 14 x + 6 , is:

JEE Main 2023 Solution View → 68

If the value of real number &#945; &#62; 0 for which x 2 - 5 &#945; x + 1 = 0 and x 2 - &#945; x - 5 = 0 have a common real roots is 3 2 &#946; then &#946; is equal to ________

JEE Main 2023 Solution View → 69

Let &#945; 1 , &#945; 2 , &#8230; , &#945; 7 &#945; 1 , &#945; 2 , &#8230; , &#945; 7 be the roots of the equation x 7 + 3 x 5 - 13 x 3 - 15 x = 0 and &#945; 1 &#8805; &#945; 2 &#8

JEE Main 2023 Solution View → 70

Let &#955; &#8800; 0 be a real number. Let &#945; , &#946; be the roots of the equation 14 x 2 - 31 x + 3 &#955; = 0 and &#945; , &#947; be the roots of the equation 35 x 2 - 53 x

JEE Main 2023 Solution View → 71

Let a &#8712; R and let &#945; , &#946; be the roots of the equation x 2 + 60 1 4 x + a = 0 . If &#945; 4 + &#946; 4 = - 30 , then the product of all possible values of a is _____

JEE Main 2023 Solution View → 72

Let S = &#945; : log 2 9 2 &#945; - 4 + 13 - log 2 5 2 &#183; 3 2 &#945; - 4 + 1 = 2 . Then the maximum value of &#946; for which the equation x 2 - 2 &#8721; &#945; &#8712; s &#94

JEE Main 2023 Solution View → 73

The number of real solutions of the equation 3 x 2 + 1 x 2 - 2 x + 1 x + 5 = 0 , is

JEE Main 2023 Solution View → 74

Let &#955; &#8712; &#8477; and let the equation E be | x | 2 - 2 | x | + | &#955; - 3 | = 0 . Then the largest element in the set S = x + &#955; : x is an integer solution of E is

JEE Main 2023 Solution View → 75

Let &#945; , &#946; &#945; &#62; &#946; be the roots of the quadratic equation x 2 - x - 4 = 0 . If P n = &#945; n - &#946; n , n &#8712; &#8469; , then P 15 P 16 - P 14 P 16 - P 1

JEE Main 2022 Solution View → 76

Let &#945; , &#946; be the roots of the equation x 2 - 2 x + 6 = 0 and 1 &#945; 2 + 1 , 1 &#946; 2 + 1 be the roots of the equation x 2 + a x + b = 0 . Then the roots of the equati

JEE Main 2022 Solution View → 77

The sum of all real values of x for which 3 x 2 - 9 x + 17 x 2 + 3 x + 10 = 5 x 2 - 7 x + 19 3 x 2 + 5 x + 12 is equal to

JEE Main 2022 Solution View → 78

If &#945; , &#946; are the roots of the equation x 2 - 5 + 3 log 3 5 - 5 log 5 3 x + 3 3 log 3 5 1 3 - 5 log 5 3 2 3 - 1 = 0 then the equation, whose roots are &#945; + 1 &#946; an

JEE Main 2022 Solution View → 79

The minimum value of the sum of the squares of the roots of x 2 + 3 - a x = 2 a - 1 is

JEE Main 2022 Solution View → 80

If for some p , q , r &#8712; R , all have positive sign, one of the roots of the equation p 2 + q 2 x 2 - 2 q p + r x + q 2 + r 2 = 0 is also a root of the equation x 2 + 2 x - 8

JEE Main 2022 Solution View → 81

Let f x be a quadratic polynomial with leading coefficient 1 such that f 0 = p , p &#8800; 0 , and f 1 = 1 3 . If the equations f x = 0 and f o f o f o f x = 0 have a common real r

JEE Main 2022 Solution View → 82

Let a , b be two non-zero real numbers. If p and r are the roots of the equation x 2 - 8 a x + 2 a = 0 and q and s are the roots of the equation x 2 + 12 b x + 6 b = 0 , such that

JEE Main 2022 Solution View → 83

Let &#945; be a root of the equation 1 + x 2 + x 4 = 0 . Then the value of &#945; 1011 + &#945; 2022 - &#945; 3033 is equal to:

JEE Main 2022 Solution View → 84

Let f x be a quadratic polynomial such that f - 2 + f 3 = 0 . If one of the roots of f x = 0 is - 1 , then the sum of the roots of f x = 0 is equal to

JEE Main 2022 Solution View → 85

The number of real solutions of the equation e 4 x + 4 e 3 x - 58 e 2 x + 4 e x + 1 = 0 is _____.

JEE Main 2022 Solution View → 86

Let &#945; , &#946; be the roots of the equation x 2 - 4 &#955; x + 5 = 0 and &#945; , &#947; be the roots of the equation x 2 - 3 2 + 2 3 x + 7 + 3 &#955; 3 = 0 . If &#946; + &#94

JEE Main 2022 Solution View → 87

If p and q are real number such that p + q = 3 , p 4 + q 4 = 369 , then the value of 1 p + 1 q - 2 is equal to

JEE Main 2022 Solution View → 88

The sum of the cubes of all the roots of the equation x 4 - 3 x 3 - 2 x 2 + 3 x + 1 = 0 is _____.

JEE Main 2022 Solution View → 89

Let a , b &#8712; R be such that the equation a x 2 - 2 b x + 15 = 0 has repeated root &#945; and if &#945; and &#946; are the roots of the equation x 2 - 2 b x + 21 = 0 , then &#9

JEE Main 2022 Solution View → 90

For a natural number n , let &#945; n = 19 n - 12 n . Then, the value of 31 &#945; 9 - &#945; 10 57 &#945; 8 is ______

JEE Main 2022 Solution View → 91

The sum of all real roots of equation e 2 x - 4 6 e 2 x - 5 e x + 1 = 0 is

JEE Main 2022 Solution View → 92

If the sum of the squares of the reciprocals of the roots &#945; and &#946; of the equation 3 x 2 + &#955; x - 1 = 0 is 15 , then 6 &#945; 3 + &#946; 3 2 is equal to

JEE Main 2022 Solution View → 93

For x &#8712; R , the number of real roots of the equation 3 x 2 - 4 x 2 - 1 + x - 1 = 0 is

JEE Advanced 2021 Solution View → 94

The number of pairs a , b of real numbers, such that whenever &#945; is a root of the equation x 2 + a x + b = 0 , &#945; 2 - 2 is also a root of this equation, is :

JEE Main 2021 Solution View → 95

The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 , 0 &#8804; x &#8804; &#960; 4 is :

JEE Main 2021 Solution View → 96

The set of all values of k &#62; - 1 , for which the equation 3 x 2 + 4 x + 3 2 - ( k + 1 ) 3 x 2 + 4 x + 3 3 x 2 + 4 x + 2 + k 3 x 2 + 4 x + 2 2 = 0 has real roots, is:

JEE Main 2021 Solution View → 97

If x 2 + 9 y 2 - 4 x + 3 = 0 , x , y &#8712; R , then x and y respectively lie in the intervals

JEE Main 2021 Solution View → 98

Let &#955; &#8800; 0 be in R . If &#945; and &#946; are the roots of the equation x 2 - x + 2 &#955; = 0 , and &#945; and &#947; are the roots of the equation 3 x 2 - 10 x + 27 &#9

JEE Main 2021 Solution View → 99

The sum of all integral values of k ( k &#8800; 0 ) for which the equation 2 x - 1 - 1 x - 2 = 2 k in x has no real roots, is_____.

JEE Main 2021 Solution View → 100

The number of real roots of the equation e 4 x - e 3 x - 4 e 2 x - e x + 1 = 0 is equal to

JEE Main 2021 Solution View → 101

Let &#945; = max x &#8712; R 8 2 sin 3 x &#183; 4 4 cos 3 x and &#946; = min x &#8712; R 8 2 sin 3 x &#183; 4 4 cos 3 x . If 8 x 2 + b x + c = 0 is a quadratic equation whose roots

JEE Main 2021 Solution View → 102

Let &#945; , &#946; be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then &#945; 8 + &#946; 8 is equal to

JEE Main 2021 Solution View → 103

The number of real solutions of the equation, x 2 - x - 12 = 0 is:

JEE Main 2021 Solution View → 104

If a + b + c = 1 , a b + b c + c a = 2 and a b c = 3 , then the value of a 4 + b 4 + c 4 is equal to:

JEE Main 2021 Solution View → 105

If &#945; , &#946; are roots of the equation x 2 + 5 2 x + 10 = 0 , &#945; &#62; &#946; and P n = &#945; n - &#946; n for each positive integer n , then the value of P 17 P 20 + 5

JEE Main 2021 Solution View → 106

If &#945; and &#946; are the distinct roots of the equation x 2 + 3 1 4 x + 3 1 2 = 0 , then the value of &#945; 96 &#945; 12 - 1 + &#946; 96 &#946; 12 - 1 is equal to:

JEE Main 2021 Solution View → 107

The probability of selecting integers a &#8712; - 5 , 30 such that x 2 + 2 a + 4 x - 5 a + 64 &#62; 0 , for all x &#8712; R , is:

JEE Main 2021 Solution View → 108

The value of 3 + 1 4 + 1 3 + 1 4 + 1 3 + &#8230; &#8734; is equal to

JEE Main 2021 Solution View → 109

The value of 4 + 1 5 + 1 4 + 1 5 + 1 4 + &#8230; &#8230; &#8734; is:

JEE Main 2021 Solution View → 110

Let &#945; and &#946; be two real numbers such that &#945; + &#946; = 1 and &#945; &#946; = - 1 . Let p n = &#945; n + &#946; n , p n - 1 = 11 and p n + 1 = 29 for some integer n &

JEE Main 2021 Solution View → 111

The sum of 162 t h power of the roots of the equation x 3 - 2 x 2 + 2 x - 1 = 0 is ______.

JEE Main 2021 Solution View → 112

Let &#945; and &#946; be the roots of x 2 - 6 x - 2 = 0 . If a n = &#945; n - &#946; n for n &#10878; 1 , then the value of a 10 - 2 a 8 3 a 9 is:

JEE Main 2021 Solution View → 113

If &#945; , &#946; &#8712; R are such that 1 - 2 i (here i 2 = - 1 ) is a root of z 2 + &#945; z + &#946; = 0 , then &#945; - &#946; is equal to:

JEE Main 2021 Solution View → 114

The integer k , for which the inequality x 2 - 2 3 k - 1 x + 8 k 2 - 7 &#62; 0 is valid for every x in R is:

JEE Main 2021 Solution View → 115

The number of the real roots of the equation x + 1 2 + | x - 5 | = 27 4 is ________.

JEE Main 2021 Solution View → 116

Let p and q be two positive numbers such that p + q = 2 and p 4 + q 4 = 272 . Then p and q are roots of the equation:

JEE Main 2021 Solution View → 117

Suppose a , b denote the distinct real roots of the quadratic polynomial x 2 + 20 x &#8722; 2020 and suppose c , d denote the distinct complex roots of the quadratic polynomial x 2

JEE Advanced 2020 Solution View → 118

If &#945; and &#946; are the roots of the equation 2 x 2 x + 1 = 1 , then &#946; is equal to :

JEE Main 2020 Solution View → 119

If &#945; and &#946; be two roots of the equation x 2 - 64 x + 256 = 0 . Then the value of &#945; 3 &#946; 5 1 8 + &#946; 3 &#945; 5 1 8 is :

JEE Main 2020 Solution View → 120

If &#945; and &#946; are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of &#945; 1 - &#945; 2 + &#946; 1 - &#946; 2 is equal to:

JEE Main 2020 Solution View →
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