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Given, x cos^(3)y + 3x cosy sin^(2)y =14...

Given, `x cos^(3)y + 3x cosy sin^(2)y =14` and `xsin^(3)y + 3x cos^(2)y siny=13`.
The values of x -

A

`+-5sqrt(5)`

B

`+-sqrt(5)`

C

`+-1/sqrt(3)`

D

`+-2/sqrt(3)`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • Given, x cos^(3)y + 3x cosy sin^(2)xy =14 and xsin^(3)y + 3x cos^(2)y siny=13 . Number of values of y in the interval [0, 6pi] are-

    A
    5
    B
    3
    C
    4
    D
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    A
    `4/5`
    B
    `9/5`
    C
    2
    D
    1

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