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If ax+y=1 intersects the curve 5x 2 -15y 2 +3xy+5=0 in A and B and AB subtends 90° at origin then a 2 is equal to a.-5 b.-1 c.1 d.3

If ax+y=1 intersects the curve 5x2-15y2+3xy+5=0 in A and B and AB subtends 90° at origin then a2 is equal to


a.-5


b.-1


c.1


d.3

Grade:12th Pass

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Menka,

 

This question is related to homogenising of a 2nd Degree Eqn, with respect to a line.

The homogenised eqn, would represent a pair of St Lines through the origin.

 

For them to subtend 90° at the origin, (co-eff of x^2)+(co-eff of y^2) in the homogenised eqn = 0.

 

And hence you will get "a" value.

 

Best Regards,

Ashwin (IIT Madras).

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