Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For parabola x 2 + 2y – 3x + 5 = 0
A
vertex is ≡ 
B
focus is 
C
axis is x = 
D
directrix is y = 
Text Solution
Verified by ExpertsThe correct answer is:
C
Given equation
x 2 + 2y – 3x + 5 = 0 ⇒ x 2 – 3x + 5 = – 2y
x 2 – 3x = 
= – 2y ⇒ 
= 
= 
⇒ X 2 = – 4AY
Hence vertex ≡ 
Axis 
= 0 ⇒ x = 
directirx y = 
⇒ latus rectum = 2
──────────────────────────────────────────────────────────────────────────────────────────
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…