Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the equation
and
, have a common root, then their other roots are the roots of the quadratic equation:
Text Solution
Verified by ExpertsThe correct answer is:
D
Given equations:


Let the common root be
.
Subtract (ii) from (i):



Since
,

Now put
in (i):



Product of roots of (i):


Similarly for (ii), other root:

Required quadratic having roots
:

Using
,

Multiply by
:

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