Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The equation of the common tangent touching the circle (x – 3) 2 + y 2 = 9 and the parabola y 2 = 4x above the x-axis is -
A
y = 3x + 1
B
y = –(x + 3)
C
y = x + 3
D
y = – (3x + 1)
Text Solution
Verified by ExpertsThe correct answer is:
C
(x – 3) 2 + y 2 = 9 ....(1)
⇒ C 1 (3, 0); r 1 = 3
y 2 = 4x ...(2) ⇒ 4a = 4 ⇒ a = 1
equation of tangent of parabola (2) is
⇒ y = mx + a/m ⇒ y = mx + 1/m
⇒ m 2 x – my + 1 = 0 ...(3)
⇒ C 1 N = r 1 ⇒ m = ? put in (3)
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 a double ordinate of the parabola be of length , then the angle between the lines joining the …
PQ is a double ordinate of the parabola . The locus of the points of trisection of PQ is
If the vertex of a parabola be at origin and directrix be , then its latus rectum is
The latus rectum of a parabola whose directrix is and focus is (3, – 4), is
The points on the parabola whose ordinate is three times the abscissa are
The points on the parabola whose focal distance is 4, are