Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A tangent to the parabola y 2 = 4ax makes an angle 45 0 with the x-axis. Then its point of contact is
Text Solution
Verified by ExpertsThe correct answer is:
A
We know that the slope of the tangent at ‘t’ to the parabola y 2 = 4ax is 1/t.
∴ ∴
= tan45 0 = 1 ⇒ ⇒ t = 1
∴ ∴ The required point is (at 2 , 2at) = (a, 2a)
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