Home
Class 12
MATHS
The solution set of the system of equati...

The solution set of the system of equations `x+y=(2pi)/3,cosx+cosy=3/2,` where `xa n dy` are real, is ________

A

`n pi+(-1)^(n)"sin"^(-1)(3)/(2)+(pi)/(6)`

B

`2n pi pm "cos"^(-1)(3)/(2)-(pi)/(6)`

C

no solution

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`cos x + cos ((2pi)/(3)-x)=(3)/(2)`
`(cos x)/(2)+(sqrt(3))/(2)sin x = (3)/(2)`
`rArr sin ((pi)/(6)+x)=(3)/(2)` (not possible)
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the system of equations sinxsiny=(sqrt(3))/4,cosxcosy=(sqrt(3))/4 are x_1=pi/3+pi/2(2n+k); n , k in I y_1=pi/6+pi/2(k-2n); n , k in I x_2=pi/6+pi/2(2n+k); n , k in I y_2=pi/3+pi/2(k-2n); n , k in I

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

Solutions of the equations (2cosx-1)(3cosx+4)=0 is [0,2pi] is:

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

Solve the equation 2sinx+cosy=2 for the value of xa n dydot

The solution of the differential equation dy/dx + y/2 secx = tanx/(2y), where 0 <= x < pi/2, and y(0)=1, is given by

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (where, c is an arbitrary constant)

Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)=-3/2