Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
and the minimum value of 
is 
and maximum value is 
; then find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
4
(4)
The equation 
can be rewritten by completing the squares:
Let 
and 
. This describes a circle in the 
-plane centered at 
with radius 
. We want to find the 
and 
of 
. .
The distance from the origin to the center is 
.
Minimum distance to circle squared: 
.
Maximum distance to circle squared: 
.
Result: 
.
──────────────────────────────────────────────────────────────────────────────────────────
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 the roots of are equal then
Let α α , β β be the roots of the equation , , then the roots of the equation are
Let a > 0, b > 0 & c > 0. Then both the roots of the equation ax 2 + bx + c = 0
Find the set of all real values of λ such that the root of the equation x 2 + 2(a + b + c)x + 3λ (a…
If for all , then belongs to the interval
If ' ' is real, then can take all real values if