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Quadratic Equation — BITSAT Mathematics PYQs

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

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Quadratic Equation — BITSAT Mathematics PYQs

Roots of the equation x^2+b x-c=0(b, c 0) are

Rational roots of the equation 2 x^4+x^3-11 x^2+x+2=0 are

If 15^ and 30^ are the roots of the equation x^2+p x+q=0 , then p q=

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

Solve 5 x^2+x+ 5 =0

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

The range of the function f(x)= 3 x^2-4 x+5 is

Solution of 2^x+2^ |x| 2 2 is

If one root of the equation x^2+p x+12=0 is 4, while the equation x^2+p x+q=0 . has equal roots, then the value of ' q ' is

If be a root of the equation 4 x^2+2 x-1=0 , then the other root of the equation is

Let a, b be the solutions of x^2+p x+1=0 and c, d be the solution of x^2+q x+1=0 . If (a-c)(b-c) and (a+d)(b+d) are the solution of x^2+a x+ =0 , then is equal to

Find the value of a such that the sum of the squares of the roots of the equation x²-(a-2) x-(a+1)=0 is least.

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

In the real number system, the equation x + 3 - 4 x - 1 + x + 8 - 6 x - 1 = 1 has

Let p and q be roots of the equation x 2 - 2 x + A = 0 and let r and s be the roots of the equation x 2 - 18 x + B = 0 . If p < q < r < s are in arithmetic progression,

If x , y , z ∈ R , x + y + z = 5 , x 2 + y 2 + z 2 = 9 , then length of interval in which x lies is

For the equation 3 x 2 + p x + 3 = 0 , p > 0 , if one of the roots is square of the other, then p is equal to

If , are the roots of the equations x²-2 x-1=0, then what is the value of ² ⁻²+ ⁻² ²

If a, b and c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always

If a and bare non-zero roots of x²+a x+b=0 then the least value of x ²+a x + b is

If ( , ) are the roots of the equation ( ax ^2+ bx + c =0 ), then the roots of the equation ( ax ^2+ bx ( x +1)+ c ( x +1)^2=0 ) are

Which of the following functions is differentiable at (x=0 ) ?

(10^n+3 (4^ n+2 )+5 ) is divisible by ((n N) )

If the expression (x^2-11 x+a ) and (x^2-14 x+2 a ) must have a common factor and ( a 0 ), then, the common factor is

Quadratic Equation — BITSAT Mathematics PYQs

Roots of the equation x^2+b x-c=0(b, c 0) are

Rational roots of the equation 2 x^4+x^3-11 x^2+x+2=0 are

If 15^ and 30^ are the roots of the equation x^2+p x+q=0 , then p q=

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

Solve 5 x^2+x+ 5 =0

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

The range of the function f(x)= 3 x^2-4 x+5 is

Solution of 2^x+2^ |x| 2 2 is

If one root of the equation x^2+p x+12=0 is 4, while the equation x^2+p x+q=0 . has equal roots, then the value of ' q ' is

If be a root of the equation 4 x^2+2 x-1=0 , then the other root of the equation is

Let a, b be the solutions of x^2+p x+1=0 and c, d be the solution of x^2+q x+1=0 . If (a-c)(b-c) and (a+d)(b+d) are the solution of x^2+a x+ =0 , then is equal to

Find the value of a such that the sum of the squares of the roots of the equation x²-(a-2) x-(a+1)=0 is least.

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

In the real number system, the equation x + 3 - 4 x - 1 + x + 8 - 6 x - 1 = 1 has

Let p and q be roots of the equation x 2 - 2 x + A = 0 and let r and s be the roots of the equation x 2 - 18 x + B = 0 . If p &#60; q &#60; r &#60; s are in arithmetic progression,

If x , y , z &#8712; R , x + y + z = 5 , x 2 + y 2 + z 2 = 9 , then length of interval in which x lies is

For the equation 3 x 2 + p x + 3 = 0 , p &#62; 0 , if one of the roots is square of the other, then p is equal to

If , are the roots of the equations x²-2 x-1=0, then what is the value of ² ⁻²+ ⁻² ²

If a, b and c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always

If a and bare non-zero roots of x²+a x+b=0 then the least value of x ²+a x + b is

If ( , ) are the roots of the equation ( ax ^2+ bx + c =0 ), then the roots of the equation ( ax ^2+ bx ( x +1)+ c ( x +1)^2=0 ) are

Which of the following functions is differentiable at (x=0 ) ?

(10^n+3 (4^ n+2 )+5 ) is divisible by ((n N) )

If the expression (x^2-11 x+a ) and (x^2-14 x+2 a ) must have a common factor and ( a 0 ), then, the common factor is

Let p and q be roots of the equation x 2 - 2 x + A = 0 and let r and s be the roots of the equation x 2 - 18 x + B = 0 . If p < q < r < s are in arithmetic progression,

If x , y , z ∈ R , x + y + z = 5 , x 2 + y 2 + z 2 = 9 , then length of interval in which x lies is

For the equation 3 x 2 + p x + 3 = 0 , p > 0 , if one of the roots is square of the other, then p is equal to