Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The distance of the point of contact from the origin of the line y = x – 
with the ellipse 3x 2 + 4y 2 = 12, is
A
B
2
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Equation of the given ellipse is 
+ 
= 1
Equation of a tangent to the ellipse at any point (h, k) on the ellipse, is 
+ 
= 1
Comparing it with the equation of the given tangent, we have
= 
= 
= 
[ (h, k) lies on the ellipse ∴ 3h 2 + 4k 2 = 12]
gives h = 
and – 
So distance = 
= 
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