Question
The locus of the centre of a circle which touch the circles x2+y2−6x−6y+14=0 externally and also the Y - axis is given by
Answer: Option D
:
D
Let (x, y) be centre ofcircle which touch y - axis and given circle.
At any point, the radius of this circle will be equal to 'x' units. Since this circle is touching the given circle which has a radius of two units,
∴ Distance between centres of the two circles= 2 + x
⇒√(x−3)2+(y−3)2=2+x
y2−10x−6y+14=0
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:
D
Let (x, y) be centre ofcircle which touch y - axis and given circle.
At any point, the radius of this circle will be equal to 'x' units. Since this circle is touching the given circle which has a radius of two units,
∴ Distance between centres of the two circles= 2 + x
⇒√(x−3)2+(y−3)2=2+x
y2−10x−6y+14=0
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