Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the equations
and
have two roots in common, then the product of two non-common roots of two equations, is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let
be a common root of the given equations. Then,


⇒ Common roots are roots of the equation
.
Clearly, sum of the common roots is zero.
Let
and
be the third roots of first and second equations respectively. Then,
Sum of the roots in two equations is zero]
.
──────────────────────────────────────────────────────────────────────────────────────────
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 are the roots of the equation , then the roots of the equation are
The number of real roots of is
Find the value of such that the difference of the roots of the equation is 2.
If is a root of the equation , where , then find the values of and are respectively.
If and where , then the equation whose roots are and is
If are the roots of the equation , then the value of equals