Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The equation 
has four distinct real roots 
such that 
and product of two roots is unity, then :
(i) 
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) We are given:
with four distinct real roots 
such that product of two roots is 1 .
Step 1: Use symmetry of reciprocal pairs
If two roots multiply to 1 (say 
and 
), then we can use Vieta's formulas cleverly.
We know:
Group the sums: 
and 
Let 
Then: 
From total sum: 
By symmetry, 
So:
(ii)
──────────────────────────────────────────────────────────────────────────────────────────
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