Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be the circle 
and 
be two ellipses whose centres lie at
the origin and major axes lie on 
-axis and 
-axis respectively. Let the straight line 
touch the curves C , 
and 
at 
and 
respectively. Given that 
is the mid-point of the line segment QR and 
, the value of 
is equal to 
.
Text Solution
Verified by ExpertsThe correct answer is:
46
(46)
Let 
Equation of tangent at 
comparing with 
we get 
Now parametric equation of 
On solving we get 
So, 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Physics Section-A
The mean free path and the average speed of oxygen molecules at 300 K and 1 atm …
A small mirror of mass is suspended by a massless thread of length . Then the small
angle through…
Two liquids and have and as contact angles in a capillary tube. If
. then identify the correc…
Which of the following are correct expression for torque acting on a body?
A. B. C. D. E. …
In a Young's double slit experiment, the slits are separated by 0.2 mm . If the slits
separation is…
An alternating current is represented by the equation,
ampere. The RMS value of current and the fr…