Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The point of the curve 3x 2 –4y 2 = 72 which is nearest to the line 3x + 2y – 1 = 0 is:
Text Solution
Verified by ExpertsThe correct answer is:
B
For the nearest point on the curve, tangent drawn to curve at that point should be parallel to the given line
∴ 6x 1 – 8y 1 
= 0
⇒ 
= + 
. 
= – 
⇒ x 1 = –2y 1
which satisfy 3x 2 –4y 2 = 72
⇒ 12y 1 2 –4y 1 2 = 72
⇒ y 1 2 = 9
⇒ y 1 = ± 3
⇒ x 1 = ± 6
Hence required points are (–6, 3) and (6, –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