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The variable line drawn through the point `(1, 3)` meets the x-axis at A and y-axis at B. If the rectangle OAPB is completed. Where `“O”` is the origin, then locus of `“P”` is

A

`(y-y_(1))^(2) =4(x-x_(1))`

B

`(x_(1))/(x) + (y_(1))/(y)=1`

C

`x^(2) + y^(2) = x_(1)^(2) + y_(1)^(2)`

D

`(x^(2))/(2x_(1)^(2)) + (y^(2))/(y_(1)^(2))=1`

Text Solution

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The correct Answer is:
B
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