Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The equation of the locus of the middle point of the portion of the tangent to the ellipse 
+ 
= 1 included between the co-ordinate axes is the curve
Text Solution
Verified by ExpertsThe correct answer is:
A
Let tangent 
cos θ + 
sin θ = 1
A ≡ (4 sec θ , 0) B ≡ (0, 3 cosec θ )
Let mid point be (h, k) ≡ (2sec θ , 
).
cos θ = 
, sin θ = 
= 1 ⇒ 16y 2 + 9x 2 = 4x 2 y 2
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