Let 
be non-zero real numbers such that 
Then, the quadratic equation 
has
a)
No root in (0, 2)
b)
At least one root in (1, 2)
c)
A double root in (0, 2)
d)
Two imaginary roots
Let be non-zero real numbers such that
Then, the quadratic equation has
a)
No root in (0, 2)
b)
At least one root in (1, 2)
c)
A double root in (0, 2)
d)
Two imaginary roots
Question ID - 100022 | SaraNextGen Top Answer
Let be non-zero real numbers such that
Then, the quadratic equation has
a)
No root in (0, 2)
b)
At least one root in (1, 2)
c)
A double root in (0, 2)
d)
Two imaginary roots
|
Let
Then, the quadratic equation |
|||
|
a) |
No root in (0, 2) |
b) |
At least one root in (1, 2) |
|
c) |
A double root in (0, 2) |
d) |
Two imaginary roots |
1 Answer
127 votes
Answer Key / Explanation : (b) -
(b)
Consider 
Obviously, 
is continuous and differentiable on [1, 2] and (1, 2) respectively.
Also, 
(given)
By Rolle’s theorem there exist at least one point 
such that 
Now, 
is root of 
Where 
Hence, at least one root 
127 votes
Answer Link
127