Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

The pair of lines represented by $3ax^2+5xy+(a^2-2)y^2=0$ are perpendicular to each other for

$\begin{array}{1 1}(A)\;\text{two value of a}\\(B)\;\forall a\\(C)\;\text{for one value of a}\\(D)\;\text{for no values of a} \end{array}$

1 Answer

Comment
A)
$3a+a^2-2=0$
$a^2+3a-2=0$
=> $a=\large \frac{-3 \pm \sqrt {9+8}}{2}$
$\qquad = \large\frac{-3\pm \sqrt {17}}{2}$
Hence we have two values of a
Hence A is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...