Home
Class 12
MATHS
If number of solution and sum of solutio...

If number of solution and sum of solution of the equation ` 3sin^(2)x-7sinx +2=0, x in [0,2pi]` are respectively N and S and ` f_(n)(theta)=sin^(n)theta +cos^(n) theta`. On the basis of above information , answer the following questions.
Value of S is

A

`(5pi)/(6)`

B

`(7pi)/(6)`

C

`2pi`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. If alpha is solution of equation 3sin^(2)x-7sinx+2=0, x in [0,2pi] , then the value of f_(4)(alpha) is

The number of solutions of the equation 3sin^(2)x-7sinx+2=0 in [0,5pi] are …………

Find the number of solution of the equations 2^(cos x)=|sin x|, when x in[-2pi,2pi]

The number of solution of the equation 5 sec theta -13=12 tan theta in [0,2pi] is

The number of solutions of the equation 16^(sin^(2)x)+16^(cos^(2)x)=10,x in[0,3pi] is …………..

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

Find the general solution of the equation 5cos^(2)theta+7sin^(2)theta-6=0 .

If a root of the equation n^(2)sin^(2)x-2sinx-(2n+1)=0 lies in [0,pi/2] the minimum positive integer value of n is

Find the general solution of the equation, sinx-3sin2x+sin3x=cosx-3cos2x+cos3x

The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ), AA theta in (0,2pi) is