Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the equation of common tangent to circle x 2 + y 2 = 5 and ellipse x 2 + 9y 2 = 9.
Text Solution
Verified by ExpertsThe correct answer is:
C
y = x ± 
, y = – x ± 
Sol. c 2 = a 2 m 2 + b 2 = a 2 c 1 + m 2
⇒ 9m 2 + 1 = 5 + 5m 2
⇒ 4m 2 = 4 ⇒ m = ±1
y = x ± 
y = – x ± 
──────────────────────────────────────────────────────────────────────────────────────────
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
An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the one…
x − 2y + 4 = 0 is a common tangent to y 2 = 4x & = 1. Then find the value of ‘b’ and the other com…
The line y = x intersects the hyperbola – = 1 at the points P and Q. Then find eccentricity of el…
If latus rectum of ellipse is double ordinate of parabola y 2 = 4ax, then find the value of a
The feet of the perpendicular drawn from focus upon any tangent to the parabola,
y = x 2 − 2x − 3 l…
If F 1 & F 2 are the feet of the perpendiculars from the focii S 1 & S 2 of an ellipse = 1 on the …