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The locus of the point x=a(cos theta+sin...

The locus of the point `x=a(cos theta+sin theta)` `y=b (cos theta-sin theta)` is

A

`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

B

`(x^(2))/(a^(2))+(y^(2))/(b^(2))=2`

C

`(x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(2)`

D

`(x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(3)`

Text Solution

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The correct Answer is:
B
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