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The vertex of the parabola y^2 = 8x is a...

The vertex of the parabola `y^2 = 8x` is at the centre of a circle and the parabola cuts the circle at the ends of itslatus rectum. Then the equation of the circle is

A

`x^(2) + y^(2) = 4`

B

`x^(2) + y^(2) = 20`

C

`x^(2) + y^(2) = 80`

D

`x^(2) + y^(2) = 1`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
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  5. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  10. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

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  11. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

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  12. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  14. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

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  17. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

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  18. The centre of the ellipse 4x^(2) + 9y^(2) + 16 - 18y - 11 = 0 is

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  19. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

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  20. The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 =...

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