Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

If two of the lines represented by the equation y 3 +axy 2 +(a 2 +6)x 2 y+2x 3 =0 are perpendicular to each other,then a is equal to a.-2 b.-4 c.2 d.4

If two of the lines represented by the equation y3+axy2+(a2+6)x2y+2x3=0 are perpendicular to each other,then a is equal to


a.-2


b.-4


c.2


d.4

Grade:12th Pass

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Menka,

 

The system of lines passes through the origin (as is evident from the given eqn).

 

So use y=mx, you'd get a cubic in "m". For which m1,m2,m3 are the roots.

 

Find:

1) m1m2m3

2) m1m2 + m2m3 + m3m1

3) m1+m2+m3

from the equation, and use m1m2=-1.

And using this condition, elimintae m1,m2,m3 from the three equations, and find "a".

 

Best Regards,

Ashwin (IIT Madras)

swapan jain
30 Points
9 years ago

dUDE QUESTION IS WRONG,PAIR OF LINES ARE OF 2 DEGREES .THIS CURVE DOES NOT REPRESENT 2 LINES.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free