Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Tangent at any point on the hyperbola 
– 
= 1 cut the axes at A and B respectively. If the rectangle OAPB (where O is origin) is completed then locus of point P is given by
A
– 
= 1
B
+ 
= 1
C
– 
= 1
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
A
= 1
tangent at point P (a sec θ , b tan θ )
= 1 or 
= 1
Point A(acos θ , 0), B(0, – b cot θ )
Cordinate of point P is
(h, k) ≡ (a cos θ , – b cot θ )
cos θ = 
, cot θ = – 
cot θ = 
= – 
= 
– 1 = 
So locus is
= 1
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