If A = |(sin (theta + alpha),cos (theta...

If `A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + beta),cos (theta + beta),1),(sin (theta + gamma),cos (theta + gamma),1)|`, then

A

A = 0 for all `theta`

B

A is an odd function of `theta`

C

A = 0 for `theta=alpha+beta+gamma`

D

A is independent of `theta`

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The correct Answer is:

D

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