Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Consider the equation 
, then :
A
the largest value of 
for which equation has 2 distinct solution is 1
for which equation has 2 distinct solution is 1 B
the equation must have real root if 
C
the equation must have real root if 
D
the equation has unique solution if 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, d)
Simplify the Equation:
Using 
, the equation becomes:
Complete the Square:
Since 
, the minimum value of 
is 
.
Check Domain Constraints:
The argument of 
must be in 
:
Combining with 
, the valid range for 
is 
.
Evaluate Options:
. This is a unique solution. (Matches 
)
: There are 2 distinct solutions 
. (Matches a and b)
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