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BITSAT Quadratic Equation PYQs with Solutions

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

24 questionsMathematics2009–2024Answers + solutions

About Quadratic Equation PYQs

Quadratic Equation has 24 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 24 questions in this list come from BITSAT (24), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Quadratic Equation PYQs with Solutions

About Quadratic Equation PYQs

Questions by year (this list)

Quadratic Equation questions with solutions

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 α 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+β=0 , then β is equal to

Find the value of a such that the sum of the squares of the roots of the equation x^ 2 -(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 - 2x + A = 0 and let r and s be the roots of the equation x^ 2 - 18x + B = 0 . If p < q < r < s are in arithmetic progression, then A and

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

If α, β are the roots of the equations x^ 2 -2 x-1=0, then what is the value of α^ 2 β^ -2 +α^ -2 β^ 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 x^ 2 +a x+b=0 then the least value of ^ 2 +a x+b is

If \( α, β \) 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 \(x²-11 x+a\) and \(x²-14 x+2 a\) must have a common factor and a ≠0\), then, the common factor is

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