Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
JEE Main 2019
Let equation of hyperbola be
… (i)
… (ii)
Equation (i) passes through 
… (iii)
On solving (i) and (ii), we get
Now equation of hyperbola is 
Now equation of tangent to the hyperbola at 
is
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,…