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NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Quadratic Equation

NDA 2012 · Mathematics · Quadratic Equation

The equation formed by multiplying each root of a x^2+b x+c=0 by 2...

The equation formed by multiplying each root of

a x^2+b x+c=0

by 2 is

x^2+36 x+24=0

. Which one of the following is correct?

Options

A $b c=a^2$
B $b c=36 a^2$
C $b c=72 a^2$
D $b c=108 a^2$

Correct answer

D. $b c=108 a^2$

Step-by-step solution

\begin{aligned}& b=18 a \\ & c=6 a \end{aligned}

For the next Three (3) questions that follow: Let \sin (\mathrm{A}+\mathrm{B})=1

and

\sin (\mathrm{A}-\mathrm{B})=\frac{1}{2}

, where $\mathrm{A}, \mathrm{B} \in \left[0, \frac{\pi}{2}\right].

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