Home
Class 12
MATHS
The set of all real value of lambda ...

The set of all real value of `lambda ` for which the functio `f(x) = (1-cos^(2)x) . (lambda + sinx) , xe(-(pi)/(2) , (pi)/(2))` has exactly one maxina and exactly one minima is

A

`(-1/2, 1/2) - {0}`

B

`(-3/2, 3/2)`

C

`(-1/2, 1/2)`

D

`(-3/2, 3/2)-{0}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let S be the set of real values of parameter lamda for which the equation f(x) = 2x^(3)-3(2+lamda)x^(2)+12lamda x has exactly one local maximum and exactly one local minimum. Then S is a subset of

The set of all real values of lambda for which the quadratic equations , (lambda^(2) + 1) x^(2) - 4 lambda x + 2 = 0 always have exactly one root in the interval (0,1) is :

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

Let f(x)=2sin^(3)x+lamdasin^(2)x,-(pi)/2ltxlt(pi)/2 . If f(x) has exactly one minimum and one maximum, then lamda cannot be equal to

The sum of all the values of lambda for which the set {(x, y):x^(2)+y^(2)-6x+4y=12}nn{(x, y): 4x+3y lambda} contains exactly one element is

The set of all values of lambda for which the systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda+1)=(pi)/(2) has exactly two solutions for lambda in[a,b], then the value of a+b is