Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The parabola y = x 2 + px + q cuts the straight line y = 2x – 3 at a point with abscissa 1 then the values of p and q for which the distance between the vertex of the parabola and the
x- axis is the minimum, is-
A
p = –1, q = –1
B
p = –2, q = 0
C
p = 0, q = –2
D
p = – 
, q = – 
, q = –
Text Solution
Verified by ExpertsThe correct answer is:
B
y = 2 – 3 ⇒ y = –1 ⇒ Point (1, –1)
– 1 = 1 + p + q ⇒ p + q = –2 ... (i)
distance between vertex and x axis = 
– q
= 
+ p + 2
= 
((p + 2) 2 + 4)
for minimum p = –2
Hence q = 0
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