Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The quadratic equations 
and 
have one root 
in common. The other roots of the first and second equations are integers in the ratio 
. Then equation 
has
A
both roots more than 
B
both roots less than 
C
one root more than 
and other less than 
and other less than D
Can't say anything
Text Solution
Verified by ExpertsThe correct answer is:
C
Let equation 
have roots 
and 
.
Also, let equation 
have roots 
and 
.
Given 
∴ First equation is 
If 
, then 
.
If 
, then 
, which is not an integer.
Now, 
Clearly, one root is less than 2 and other is more than 2.
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