Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If two distinct tangents can be drawn from the point ( α α , 2) on different branches of the hyperbola 
, then the range of α α is subset of
A
B
[–2,2]
C
[–1,1]
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b) For two distinct tangents on different branches the point should lie on the line y = 2 and between A and B (where A and B are the points on the asymptotes).
Equation of asymptotes are 4x = ± ± 3y
Solving with y = 2,x = ± ± 
∴ ∴ – 
< α α < 
.
──────────────────────────────────────────────────────────────────────────────────────────
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…
Find the equation of common tangent to circle x 2 + y 2 = 5 and ellipse x 2 + 9y 2 = 9.
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…