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P and Q are corresponding points on the ...

P and Q are corresponding points on the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1` and the auxiliary circle respectively . The normal at P to the elliopse meets CQ at R. where C is the centre of the ellipse Prove that CR = a +b

Answer

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Knowledge Check

  • P_(1) and P_(2) are corresponding points on the ellipse (x^(2))/(16)+(y^(2))/(9)=1 and its auxiliary circle respectively. If the normal at P_(1) to the ellipse meets OP_(2) in Q (where O is the origin), then the length of OQ is equal to

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    A
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    B
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    C
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    D
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    B
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