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Question

Mathematics Question on Tangents and Normals

The locus of the centre of a circle which touches externally the circle x2 + y2 - 6x - 6y + 14 = 0 and also touches the y-axis is given by the equation

A

x 2 - 6x - 10y + 14 = 0

B

x 2 - 10x - 6y + 14 = 0

C

y 2 - 6x - 10y + 14 = 0

D

y 2 - 10x - 6y + 14 = 0

Answer

y 2 - 10x - 6y + 14 = 0

Explanation

Solution

The correct option is (D): y 2 - 10x - 6y + 14 = 0