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The co-ordinates of the points on the ba...

The co-ordinates of the points on the barabola `y^(2) =8x`, which is at minium distance from the circle `x^(2) + (y + 6)^(2) = 1` are

A

`(2, 4)`

B

`(-2, 4)`

C

`(2, -4)`

D

`(-2, -4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The point (a ,2a) is an interior point of the region bounded by the pa...

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  2. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

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  3. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

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  4. If a circle intersects the parabola y^(2) = 4ax at points A(at(1)^(2),...

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  5. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

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  6. Find the number of distinct normals that can be drawn from (-2,1) to t...

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  7. If the chord of contact of tangents from a point P to the parabola y^2...

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  8. The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets ...

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  9. A ray of light moving parallel to x-axis gets reflected from a parabol...

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  10. The vertex of the parabola y^2 = 8x is at the centre of a circle and t...

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  11. The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t....

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  12. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  13. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  14. The parametric coordinates of a point on the ellipse, whose foci are (...

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  15. The number of values of c such that the straight line y=4x+c touches t...

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  16. The locus of mid points of parts in between axes and tangents of ellip...

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

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

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

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  20. Find the locus of the foot of the perpendicular drawn from the cent...

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