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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

an ellipse

B

a circle

C

a hyperbola

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
  1. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

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  2. A circle touches a straight line lx+my+n=0 and cuts the circle x^2+y^2...

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

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  4. The locus of the centre of a circle which touches externally the circl...

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  5. If (a,1/a), (b.1/b) , ( c,1/c) , (d , 1/d) are four distinct points on...

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  6. Find the number of point (x ,y) having integral coordinates satisfying...

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  7. The square of the length of tangent from (3, –4) on the circle x^(2) +...

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  8. Three equal circles each of radius r touch one another. The radius of ...

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  9. The locus of the mid points of the chords of the circle x^2+y^2-ax-by=...

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  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  11. The chord of contact of tangents from three points P, Q, R to the circ...

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  12. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  13. A pair of tangents are drawn from the origin to the circle x^2+y^2+20(...

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  14. Find the equation of the pair of tangents drawn to the circle x^2 + y^...

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  15. If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the...

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  16. The lenght of the common chord of circles x^2+y^2-6x-16=0 and x^2+y^2-...

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  17. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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  18. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

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  19. If the circles x ^(2) +y^(2) +2ax+cy+a=0 and x ^(2) +y^(2) -3ax+dy-1=0...

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  20. If a circle passes through the point (a,b) and cuts the circle x ^(2) ...

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