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From the point A (0, 3) on the circle x^...

From the point A (0, 3) on the circle `x^2+4x+(y-3)^2=0` a chord AB is drawn & extended to a M point such that AM=2AB. The equation of the locus of M is: (A)`x^2 +8x+y^2 =0` (B)`x^2+8x+(y-3)^2=0` (C)`(x-3)^2+8x+y^2=0` (D)`x^2+8x+8y^=0`

A

`x ^(2) 2x + (y-3) ^(2) =0`

B

`(x-3) ^(2) + 4y + y ^(2) =0`

C

`x ^(2) + 8x + (y-3) ^(2) =0`

D

`x ^(2) + 4x + (y + 3) ^(2) =0`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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