If x= alpha cos ^(3) theta and y = alpha...

If `x= alpha cos ^(3) theta and y = alpha sin ^(3) theta, ` then `1 + ((dy)/(dx)) ^(2)` is

A

`tan theta `

B

`tan ^(2) theta `

C

`1`

D

`sec ^(2) theta `

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The correct Answer is:

D

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