Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let
attains its least value at
and the graph of
cuts
-axis at
.
(i) The least value of
is :
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) We are given:

Least value at 
Cuts y-axis at 
Step 1: Find
For a quadratic
, the vertex occurs at:

Given vertex at
:

So:

Step 2: Least value of 
Minimum occurs at
:
(ii) Step 3: Compute 

(given)


(iii) Equation: 
Discriminant:

Two distinct real roots require 
──────────────────────────────────────────────────────────────────────────────────────────
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