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A variable line intersects the co-ordina...

A variable line intersects the co-ordinate axes at A and B and passes through a fixed point (a, b), then the locus of the vertex C of the rectangle OACB where O is the origin is :

A

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

B

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

C

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

D

`ax+by=1`.

Text Solution

Verified by Experts

The correct Answer is:
B
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