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A variable line through the point ((1)/5...

A variable line through the point `((1)/5,1/5)`cuts the coordinate axes in the points A and B. If the point P divides AB internally in the ratio 3:1, then the locus of P is (A) `3x+y = 20xy` (B) `y + 3x = 20 xy` (C) `x + y = 20 xy` (D) `3x+3y = 20xy`

A

`3y + x = 20xy`

B

`y + 3x = 20xy`

C

`x + y = 20xy`

D

`3x + 3y = 20xy`

Text Solution

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The correct Answer is:
B
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