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The number of integral values of a for w...

The number of integral values of a for which the equation `cos2x+asinx=2a-7` possesses a solution is

A

2

B

3

C

4

D

5

Text Solution

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The correct Answer is:
D
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The number of integral values of k for which the equation 7cos x+5sin x=2k+1 has a solution is (1)4(2)8(3)10(4)12

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Knowledge Check

  • The number of integral values of a for which the equation cos 2x+a sin x=2a-7 possesses solution is

    A
    2
    B
    3
    C
    4
    D
    5
  • The number of integral values of a for which the equation cos2x+a sin x=2a-7 possessess a solution.

    A
    `0`
    B
    `1`
    C
    `3`
    D
    `5`
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