Published by:
CGP EDU Academic Team
Published on: August 13, 2026
x − 2y + 4 = 0 is a common tangent to y 2 = 4x & 
= 1. Then the value of ‘b’ and the other common tangent are given by:
A
b = 
; x + 2y + 4 = 0
; x + 2y + 4 = 0
B
b = 3; x + 2y + 4 = 0
C
b = 
; x + 2y − 4 = 0
; x + 2y − 4 = 0
D
b = 
; x − 2y − 4 = 0
; x − 2y − 4 = 0
Text Solution
Verified by ExpertsThe correct answer is:
B
The equation of the parabola referred to its vertex as the origin is X 2 = Y; where x = X + a and y = Y + b.
So the equation of the parabola refered to the point (a, b) as the vertex is
(x – a) 2 = 1(y – b) ⇒ (x – a) 2 = (1/2) (2y – 2b)
──────────────────────────────────────────────────────────────────────────────────────────
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…