Questions
A and B are two points on the hyperbola is the centre. If is perpendicular to then is equal to
detailed solution
Correct option is B
Let OA=r1 and the coordinates of A be r1cosα,r1sinαr2cosα+π2,r2sinα+π2As A, B lie on the hyperbola x2a2−y2b2=1r12cos2αa2−sin2αb2=1r22sin2αa2−cos2αb2=1⇒1(OA)2+1(OB)2=1r12+1r22=1a2−1b2.Talk to our academic expert!
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