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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
10 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
10 years ago

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

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