IPMAT Rohtak 2019 (QA) PYQs

The roots of the equation $x^2 + 18x - 703 = 0$ are given as $a$ and $b$, with $a > b$. The roots of the equation $x^2 - 10x - 336 = 0$ are given as $c$ and $d$, with $c > d$. Which of the options below gives the correct relation between $a$, $b$, $c$, and $d$?

If the roots of the equation $x^{2}-p x+54=0$ are in the ratio $2: 3$, then value of $p$ is:

Given below are two statements:

Statement (I): (x² + 3x + 1) = (x - 2)² is not a quadratic equation.

Statement (II): The nature of roots of quadratic equations x² + 2x√3 + 3 = 0 are real and equal.

In light of the above statements, choose the most appropriate answer from the options given below.