Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The area (in sq. units) of the smaller of the two circles that touch the parabola, 
at the point 
and the 
-axis is:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
JEE Main 2019
The circle and parabola will have common tangent at 
So, equation of tangent to parabola is,
Let equation of circle (by family of circles) is
circles touches 
-axis.
-coordinate of centre 
radius
forms bigger circle 
Hence, centre of circle 
and radius 
area 
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
Let . If the eccentricity of the hyperbola is greater than 2, then the length of its latus rectum…
A hyperbola has its centre at the origin, passes through the point and has transverse axis of leng…
The equation of a tangent to the hyperbola parallel to the line is:
Let , where Then S represents :
Equation of a common tangent to the parabola and the hyperbola is :
If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13,…