List of top Mathematics Questions on Quadratic Equations asked in BITSAT

If one root of the quadratic equation \( ax^2 + bx + c = 0 \) is double the other, then what is the correct relation among the coefficients?

The quadratic equation $ x^2 - 5x + k = 0 $ has equal roots. Find the value of $ k $.

If $ f(x) = x^2 + 3x $, then $ f'(x) $ is:

If the roots of the quadratic equation $ x^2 + 4x + k = 0 $ are real and equal, then the value of $ k $ is:

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

If $x$ is real number, then $\frac{x}{x^{2}-5 x+9}$ must lie between

The roots of $ (x- a) (x - a-1) + (x - a -1) (x - a - 2) + (x - a) (x - a - 2) = 0 , a \in R$ are always

Let $f(x) = x^2 + ax + b,$ where $a, b \in R$. If $ f(x) = 0$ has all its roots imaginary, then the roots of $ f(x) + f' (x) + f" (x) = 0$ are

If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to