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A circle touches the x-axis and also to...

A circle touches the `x`-axis and also touches the circle with center `(0, 3)` and radius `2`. The locus of the center

A

a circle

B

a parabola

C

an ellipse

D

a hyperbola

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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  2. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  3. A circle touches the x-axis and also touches the circle with center (...

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  4. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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  5. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  6. The point (sintheta, costheta). theta being any real number, die insid...

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  7. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  8. The range of values of a for which the point (a, 4) is outside the cir...

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  9. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

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  10. If the point (lambda,lambda+1) lies inside the region bounded by the c...

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  11. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  12. The abscissa of the two points A and B are the roots of the equation x...

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  13. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

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  14. if y = mx is a chord of a circle of radius a and the diameter of the c...

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  15. 18. The straight lines joining the origin to the points of intersectio...

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  16. Find the locus of the point of intersection of tangents to the circle ...

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  17. If the chord of contact of tangents from a point (x1, y1) to the circl...

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  18. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

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  19. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

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  20. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

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