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CGP EDU Academic Team
Published on: August 14, 2026
The chord PQ of the rectangular hyperbola xy = a 2 meets the x-axis at A; C is the mid point of PQ & 'O' is the origin. Then prove that the Δ ACO is isosceles.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Equation of chord with mid point
(h, k) will be kx + hy = 2hk
This cuts x - axis at x = 2h i.e. A(2h, 0)
Clearly OC = 
and AC = 
= 
Hence isosceles
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