Home
Class 12
MATHS
The set of values of alpha(alphagt0) fo...

The set of values of `alpha(alphagt0)` for which the inequality
`int_(-alpha)^(alpha)e^(x)dxgt3/2` holds true is

A

`(0,oo)`

B

`(2,oo)`

C

`("log"2,oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`2e^(2alpha)-3e^(alpha)-2gt0rArre^(alpha)lt-1/2` or `e^(alpha)gt2`
But `e^(alpha)gt0AAalphainRrArre^(alpha)2`
i.e., `alphain(log2,oo)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The true set of values of 'a' for which the inequality int_(a)^(0)(3^(-2x)-2*3^(-x))dx>=0 is true is -

The true set of values of 'a' for which the inequality int_(x)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true , is

Find the values of alpha lying between 0 and pi for which the inequality : tan alpha>tan^(3)alpha is valid.

The value of c for which the identity sin(alpha+beta)sin(alpha-beta)=c-cos^(2)alpha-sin^(2)beta holds true is

The true set values of 'a' for which the inequal- ity int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The set of values of alpha for which the quadratic equation (alpha + 2) x^(2) - 2 alpha x - alpha = 0 has two roots on the number line symmetrically placed about the point 1 is

Find the values of alpha lying between 0 and pi for which of the inequality: tanalpha gt tan^(3) alpha is valid.

The number of values of alpha in [-10pi, 10pi] for which the equations (sin alpha)x-(cos alpha)y+3z=0, (cos alpha)x+(sin alpha)y-2z=0 and 2x+3y+(cos alpha)z=0 have nontrivial solution is