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A circle C(1) of radius 2 units rolls o ...

A circle `C_(1)` of radius 2 units rolls o the outerside of the circle `C_(2) : x^(2) + y^(2) + 4x = 0` touching it externally.
The locus of the centre of `C_(1)` is

A

`x^(2) + y^(2) + 4y -12 = 0`

B

`x^(2) + y^(2) + 4x -12 = 0`

C

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

D

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

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION -D
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