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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

Menka Malguri , 13 Years ago
Grade 12th Pass
anser 2 Answers
Ashwin Muralidharan IIT Madras

Last Activity: 13 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

Last Activity: 13 Years ago

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

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