Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For the quadratic equation
, which of the following is/are true?
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c, d)
Given equation is


6
If
, then
. Hence, the products of roots is less than 0 . So, the roots are of opposite sign. If
, then sum of roots is
. Product of roots is greater than 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 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
, then roots are of opposite sign.
, then roots are of opposite sign.
, then both roots are negative.
, then roots are unreal.