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The equation of the common tangent touching the circle `(x-3)^2+y^2=9` and the parabola `y^2=4x` above the x-axis is `sqrt(3)y=3x+1` (b) `sqrt(3)y=-(x+3)` `sqrt(2)y=x+3` (d) `sqrt(3)y=-(3x-1)`

A

`sqrt3y=3x+1`

B

`sqrt3y=-x-3`

C

`sqrt3y=(x+3)`

D

sqrt3y=-3x-1`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. The angle between the normals to the parabola y^(2)=24x at points (6, ...

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  2. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  3. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  4. The length of the subtangent to the parabola y^(2)=16x at the point wh...

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  5. if P is a point on parabola y^2=4ax such that subtangents and subnorm...

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  6. The normal to the parabola y^(2)=8ax at the point (2, 4) meets the par...

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  7. The graph represented by x=sin^2t, y=2cost is

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  8. The subtangent, ordinate and subnormal to the parabola y^2 = 4ax are i...

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  9. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

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  10. The equation of the parabola whose vertex is at(2, -1) and focus at(2,...

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  11. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

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  12. The vertex of the parabola y^2+6x-2y+13=0 is

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  13. The Cartesian equation of the directrix of the parabola whose parametr...

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  14. If the vertex of a parabola is (0, 2) and the extremities of latusrect...

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  15. A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) in...

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  16. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whic...

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  17. If two tangents drawn from the point (alpha,beta) to the parabola y^2=...

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  18. The angle between the tangents drawn form the point (3, 4) to the para...

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  19. set of values of m for which a chord of slope m of the circle x^2 + y^...

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  20. The mid-point of the line joining the common points of the line 2x-3y+...

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