Home
Class 12
MATHS
theta is said to be well behaved if it l...

`theta` is said to be well behaved if it lies in interval `[0,(pi)/(2)].` They are intelligent if they make domain of `f +g and g` equal. The vlaue of `theta` for which `h (theta)` is defined are handosome. Let
`f (x)= sqrt(thetax ^(2) -2 (theta^(2) -3) x-12theta,) g (x)=ln (x^(2) -49),`
`h (theta) ln [int_(0)^(theta) 4 cos ^(2)t dt - theta ^(2)],` where `theta` is in radians.
Complete set of alues of `theta` which are intelligent is :

A

`(0, (pi)/(2)]`

B

`[(6)/(7), (pi)/(2)]`

C

`[(3)/(4), (pi)/(2)]`

D

`[(3)/(5), (pi)/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos

  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|33 Videos

  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise ONE OR MORE THAN ONE ANSWE IS/ARE CORRECT|23 Videos

  • ELLIPSE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

theta is said to be well behaved if it lies in interval [0,(pi)/(2)]. They are intelligent if they make domain of f +g and g equal. The vlaue of theta for which h (theta) is defined are handosome. Let f (x)= sqrt(thetax ^(2) -2 (theta^(2) -3) x-12theta,) g (x)=ln (x^(2) -49), h (theta) ln [int_(0)^(theta) 4 cos ^(2)t dt - theta ^(2)], where theta is in radians. Complete set of vlaues of theta which are well behaved as well as intellignent is:

int_(0)^(1) (sin theta (cos^(2) theta- cos^(2) pi//5) (cos^(2) theta - cos^(2) 2 pi //5))/(sin 5 theta)d theta

If (sin 3theta)/(cos 2theta)lt 0 , then theta lies in

If cos2theta=sin4theta , where 2theta and 4theta are acute angles, find the value of theta .

int_(sin theta)^(cos theta) f(x tan theta)dx (where theta!=(npi)/2,n in I ) is equal to

If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0 , then theta lies in

Let f(theta) =int_(0)^(1) (x+ sin theta )^(2) dx and g(theta)=int_(0)^(1)(x+ cos theta )^(2) dx where theta in [0,2 pi] . The quantity f (theta) -g(theta), AA theta in the interval given in column I, is

If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}| theta in (0,pi//2), then roots of f(x)=0 are

If int_(pi//2)^(theta) sin x dx=sin 2 theta then the of theta satisfying 0 lt theta lt pi , is

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .