Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
be the radius of the circle, which touches 
-axis at point 
and the parabola 
at the point 
. Then 
is equal to________.
Text Solution
Verified by ExpertsThe correct answer is:
30
(30)
Tangent to parabola at 
is
This is also tangent to the circle
…… (i)
equation of circle is
From equation (i)
If 
then 
(rejected)
If 
then 
and 
──────────────────────────────────────────────────────────────────────────────────────────
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
The axis of a parabola is the line and its vertex and focus are in the first quadrant at distances…
A line passing through the point , touches the parabola at the point in the first quadrant. The …
The radius of the smallest circle which touches the parabolas and is
Let the point P of the focal chord PQ of the parabola be . If the focus of the parabola divides t…
Let be the parabola, whose focus is and directrix is . Then the sum of the ordinates of the poin…
Let the focal chord PQ of the parabola make an angle of with the positive axis, where P lies in …