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The solutions of the system of equations...

The solutions of the system of equations `x+y=2pi//3` and `cos x + cos y = 3//2` where x and y are real, are

A

`x=pi,y=-pi//3`

B

`x=-pi//3, y=pi`

C

`phi`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The set of solutions of the system of equations x+y=(2pi)/3 and cosx + cosy = 3/2 where x,y are real , is

    A
    `{(x,y): cos ((x-y)/2)=1/2}`
    B
    `{(x,y): sin ((x-y)/2)=1/2}`
    C
    `{(x,y): cos (x-y)=1/2}`
    D
    Empty set

  • The set of solution of the system of equations x+y=(2pi)/(3)andcosx+cosy=(3)/(2) where x.y are real, is _______

    A
    `{(x.y):cos((x-y)/(2))=(1)/(2)}`
    B
    `{(x.y):sin((x-y)/(2))=(1)/(2)}`
    C
    `{(x.y):cos(x-y)=(1)/(2)}`
    D
    Empty set

  • If x + y = 2pi//3 and cos x + cos y = sqrt(3)//2 , then x, y =

    A
    `pi//3, pi//6`
    B
    `pi//4, pi//3`
    C
    `pi//2, pi//6`
    D
    No solution

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