Last Updated On 01-06-2023 - By Jeesha Sara
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 :-
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 |
(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 
Next Question :
There is a number series following a pattern. One place is left blank. Find the correct answer from the options.
|
C, Z, F, X, I, V, L, T, O, ?, ? |
|||||||
|
(a) |
O, P |
(b) |
P, Q |
(c) |
R, R |
(d) |
S, R |
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