Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
be the circle 
and 
be two ellipses whose centres lie at the origin and major axes lie on x -axis and y -axis respectively. Let the straight line 
touch the curves 
and 
at 
and 
respectively. Given that 
is the mid point of the line segment 
and 
, the value of 
is equal to______.
Text Solution
Verified by ExpertsThe correct answer is:
46
(46)
Since 
is the midpoint of QR:
So, we can write: 
Given,
Let's denote:
Hence, 
──────────────────────────────────────────────────────────────────────────────────────────
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
If the four distinct points and lie on a circle of radius , then is equal to
Let be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let be th…
The absolute difference between the squares of the radii of the two circles passing through the poi…
Let the line meet the circle at the points A and B . If the line
perpendicular to and passing th…
Let a circle pass through the points and , and its centre lie on
. Then the length of the chor…
Let the equation of the circle, which touches -axis at the point and cuts off an
intercept of len…