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The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular from the origin on each member of the family (4a + 3)x - (a + 1)y - (2a + 1) = 0 is

A

`(2x - 1)^2 +4(y + 1)^2 = 5`

B

`(2x - 1)^2 + (y + 1)^2 = 5`

C

`(2x + 1)^2 + 4(y - 1)^2 = 5`

D

`(2x - 1)^2 +4(y - 1)^2 = 5`

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The correct Answer is:
D
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