Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The quadratic equations 
and 
have
A
no common root for all 
B
exactly one common root for all 
C
two common roots for some 
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
B
We are asked about the quadratics:
Step 1: Factorize 
So roots of 
are 
and 
.
Step 2: Check roots in 
Case 1: 
So 
is never a common root.
Case 2: 
True for all real 
.
Step 3: Conclusion
Only 
is a common root for all 
.
is never a common root.
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