Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If
are the roots of the equation
and
are the roots of the equation
if
and
are in GP as well as
are in GP, then
and
are in
Text Solution
Verified by ExpertsThe correct answer is:
C
Since,
and
are roots of
.
and 
and
are roots of
.
and 
Since,
are in GP.




On putting the values,

Since,
are in GP.

are in GP.
Given equations are

Find sum of roots and product of roots of above equations.
are in geometric progression, then

──────────────────────────────────────────────────────────────────────────────────────────
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
PHYSICS
SINGLE CORRECT MCQ
In a Wheatstone bridge, , and and a cell of emf . Then, the potentia…
A wall is made of equally thick layers and of different materials. Thermal conductivity of is tw…
Identify the graph (s) which correctly represents an isotherm at temperatures and
Binding energy per nucleon of helium and deuterium nuclei are and , respectively. When two deuter…
A beam consisting of 4 different types of ions named and enters a region of magnetic field as sho…
of helium gas at STP is compressed adiabatically to . If the initial temperature of the gas be ,…