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The minimum value of 4 cos theta + 2sqr...

The minimum value of ` 4 cos theta + 2sqrt(3) sin theta ` is

A

`-2sqrt(7)`

B

`-3sqrt(7)`

C

`3sqrt(7) `

D

`2sqrt(7) `

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The minimum and maximum values of cos theta + 2 sqrt(2) sin theta is

    A
    `3,3`
    B
    `3,-3`
    C
    `[-3,3]`
    D
    `[0,3]`

  • A : The maximum value of 2 cos^(2) theta + sqrt(5) cos theta sin theta + 4 sin^(2) theta " is " 9//2 . R : The maximum value of a cos^(2) theta + b cos theta sin theta + c sin^(2) theta " is " (1)/(2)[(a+c)+sqrt((a-c)^(2)+b^(2))]

    A
    A is true , R is true and R is correct explanation of A
    B
    A is true , R is true and R is not correct explanation of A
    C
    A is true , R is false
    D
    A is false , R is true

  • If cos theta + sqrt(3) sin theta = 2 then theta =

    A
    `pi//3`
    B
    `2pi//3`
    C
    `4pi//3`
    D
    `5pi//3`

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