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Question

Find the distance between the following pair of points:
(asinα,bcosα) and (acosα,bsinα)

A
(sinα - cosα) ×a2+b2
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B
(sinα + cosα) ×a2+b2
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C
(sinα + cosα) ×a2b2
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D
(sinα - cosα) ×a2b2
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Solution

The correct option is A (sinα - cosα) ×a2+b2
Given, (x1,y1)=(asinα,bcosα) and (x2,y2)=(acosα,bsinα)

Distance between two points=(x2x1)2+(y2y1)2

a2(sinαcosα)2+b2(sinαcosα)2

=a2+b2(sinαcosα)2

=(sinαcosα)a2+b2

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