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Let , P be the point on the parabola ...

Let , P be the point on the parabola ` y^(2) = 8x ` which is at a minimum distance from the centre C of the circle `x^(2) + (y + 6)^(2) =1 ` . Then the equation of the circle, passing through C and having its centre at P is

A

`x^(2)+y^(2)-x+4y-12=0`

B

`x^(2)+y^(2)-x/4+2y-24=0`

C

`x^(2)+y^(2)-4x+9y+18=0`

D

`x^(2)+y^(2)-4x+8y+12=0`

Text Solution

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The correct Answer is:
D
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MOTION-PARABOLA-EXERCISE - IV
  1. The equation to the line touching both the parabolas y^2 =4x and x^2=...

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  2. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  3. Let , P be the point on the parabola y^(2) = 8x which is at a min...

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  4. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  5. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  6. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  7. The axis of a parabola is along the line y=x and the distance of its v...

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  8. The equations of the common tangents to the parabola y = x^2 and y=-...

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  9. Match the following. Normals are drawn at points P Q and R lying on th...

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  10. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

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  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  14. The tangent and normal at P(t), for all real positive t, to the parabo...

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  15. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  16. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

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  17. Let (x, y) be any point on the parabola y^(2) = 4x. Let P be the point...

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  18. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

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  19. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

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  20. Let PQ be a focal chord of the parabola y^(2) = 4ax. The tangents to t...

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