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The equation of the locus of the foot of...

The equation of the locus of the foot of perpendicular drawn from (5, 6) on the family of lines `(x-2)+lambda(y-3)=0` (where `lambda in R`) is

A

`(x-1)(x-3)+(y-2)(y-6)=0`

B

`(x-5)(x-6)+(y-2)(y-6)=0`

C

`(x-2)(x-5)+(y-3)(y-6)=0`

D

`(x+2)(x+5)+(y+3)(y+6)=0`

Text Solution

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The correct Answer is:
C
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