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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

`sqrt3 y=3x+1`

B

`sqrt3 y= -(x+3)`

C

`sqrt3 y=x+3`

D

`sqrt3 y = - (3x+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
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  2. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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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 point of intersetion of the tangents to the parabola y^2=4x at the...

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  5. Equation of the directrix of the parabola y^(2)+4x+2=0 is

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  6. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

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  7. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

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  8. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

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  9. If the focus of a parabola divides a focal chord in segments of lengt...

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  10. P is a point on the parabola whose ordinate equals its abscissa. A nor...

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  11. the equation of the parabola whose focus is the point (0,0) and the ta...

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  12. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

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  13. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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

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  15. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  16. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  17. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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  18. The locus of a point P(alpha beta) moving under the condition that the...

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  19. The point of intersection of the normals to the parabola y^2=4x at the...

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  20. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

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