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A circle is given by x^2 + (y-1)^2 = 1, ...

A circle is given by `x^2 + (y-1)^2 = 1`, another circle C touches it externally and also the x-axis, then the locus of its centre is :

A

`{(x, y): x^2 = 4y} uu {(x, y): y le0}`

B

`{(x, y): x^2 + (y- 1)^2=4} uu {(x, y): y le0}`

C

`{(x, y): x^2 = y} uu {(0,y) : y le0}`

D

`{(x, y): x^2 = 4y}uu {(0,y) : y le0}`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  8. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  9. The locus of the vertices of the family of parabolas y=(a^3x^2)/3+(a^2...

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  10. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

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  11. The axis of a parabola is along the line y=x and the distance of its v...

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  12. The equation of the common tangents to the parabola y = x^2 and y=- (x...

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  13. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)-(...

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  14. If one of the lines of my^2+(1-m^2) xy-mx^2=0 is a bisector of the ang...

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  15. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

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  16. Consider a family of circles which are passing through the point (-1,1...

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  17. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  18. A hyperbola having the transverse axis of length 2sintheta, is confoca...

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