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The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta'. By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta'. On the basis of above information answer the following questions.After eliminating 'theta' from equations (x cos theta)/(a) + (y sin theta)/(b)=1 and x sin theta-y cos theta= sqrt((a^(2)sin^(2) theta+ b^(2) cos^(2) theta)), we get

Answer»

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

Answer :C


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