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If the common tangent of the circle `x^(2)+y^(2)=c^(2)` and the parabola `y^(2)=4ax` subtends an angle `theta ` with x -axis then `tan^(2) theta` =

A

`(sqrt(c^(2)+4a^(2))-c)/(2c)`

B

`(sqrt(c^(2)+4a^(2))-c)/(2)`

C

`(sqrt(3c^(2)+4a^(2))-c)/(2c)`

D

`(sqrt(c^(2)+a^(2))+4c)/(2c)`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
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  2. The two parabolas y^(2)=4x and x^(2)=4y intersect at a point P whose...

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  3. If the common tangent of the circle x^(2)+y^(2)=c^(2) and the parabola...

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  4. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

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  5. The product of the slopes of the tangents to the parabola y^(2)=4x dra...

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  6. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

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  7. The point of intersection of the tangents at the ends of latusrectum o...

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  8. The locus of the point of intersection of perpendicular tangents to th...

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  9. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  10. The tangents at the ends of a focal chord of a parabola y^(2)=4ax int...

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  11. The locus of the point of intersectio of the perpendicular tangents to...

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  12. The locus of the point of intersection of two tangents to the parabola...

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  13. The locus of the point of intersection of two tangents to the parabola...

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  14. The locus of the point of intersection of two tangents to the parabola...

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  15. The locus of the point of intersection of two tangents to the parabola...

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  16. The locus of the point of intersection of two tangents to the parabola...

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  17. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  18. Two straight lines are perpendicular to each other. One of them touche...

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  19. The locus of the point of intersection of tangents to the parabola y^(...

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  20. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

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