If the roots of the equation $Ax^2 + Bx + C = 0$ are $\alpha, \beta$ and the roots of the equation $x^2 + px + q = 0$ are $\alpha^2, \beta^2$,then the value of $p$ will be

  • A
    $\frac{B^2 - 2AC}{A^2}$
  • B
    $\frac{2AC - B^2}{A^2}$
  • C
    $\frac{B^2 - 4AC}{A^2}$
  • D
    None of these

Explore More

Similar Questions

Solve the given two equations and select the correct answer from the given options.
$I.$ $(289)^{\frac{1}{2}} x - \sqrt{324} = 203$
$II.$ $(484)^{\frac{1}{2}} y - \sqrt{225} = 183$

Number of integral values of $m$ for which ${x}^2 + 5m{x} - 3m + 1 < 0$ $\forall x \in R$ is (where ${.}$ denotes the fractional part function).

Difficult
View Solution

The roots of the equation $(a^2 + b^2)t^2 - 2(ac + bd)t + (c^2 + d^2) = 0$ are equal,then

Solve the given two equations and select the correct option.
$I.$ $63x^2 + 172x + 117 = 0$
$II.$ $30y^2 + 162y + 216 = 0$

Difficult
View Solution

If $ax^2 + bx + c = 0$,then $x =$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo