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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
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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