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If Z = (A sin theta + B cos theta)/(A + ...

If `Z = (A sin theta + B cos theta)/(A + B)`, then

A

the dimensions of Z and A are the same

B

the dimensions of Z and B are the same

C

Z is dimensionless quantity

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If a cos theta + b sin theta = p , a sin theta - b cos theta = q , then

    A
    `a^(2) - b^(2) = p^(2) -q^(2)`
    B
    ` a^(2) + b^(2) = p ^(2) + q^(2)`
    C
    `a+b=p+q`
    D
    `a-b=p-q`

  • If a cos theta + b sin theta = p and a sin theta - b cos theta = q , then the relation between a,b,p and q is

    A
    `a^2 - b^2 = p^2 - q^2`
    B
    `a^2 + b^2 = p^2 + q^2`
    C
    `a + b = p + q`
    D
    `a - b = p - q`

  • if theta is a parameter then x=a ( sin theta + cos theta), y=b( sin theta - cos theta ) respresents

    A
    an ellipse
    B
    a circle
    C
    a pair of stright lines
    D
    a hyperbola

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