Search any question & find its solution
Question:
Answered & Verified by Expert
If one root of the equation $a x^{2}+b x+c=0, a \neq 0$ is reciprocal ofthe other root, then which one of the following is correct?
Options:
Solution:
2749 Upvotes
Verified Answer
The correct answer is:
$a=c$
Let the roots of $\alpha x^{2}+b x+c=0, a \neq 0$ be $\alpha$ and $\frac{1}{\alpha}$
eroduct of roots $=\alpha \cdot \frac{1}{\alpha}=\frac{c}{a}$
$\Rightarrow c=a$
eroduct of roots $=\alpha \cdot \frac{1}{\alpha}=\frac{c}{a}$
$\Rightarrow c=a$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.