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Consider a circle with its centre lying on the focus of the parabola, `y^2=2px` such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is:

A

`(P/2,P)`

B

`(P/2,2P)`

C

`(-P/2,P)`

D

`(-P/2,-P)`

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The correct Answer is:
A
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
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  4. Show that the locus of a point that divides a chord of slope 2 of the ...

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  7. P & Q are the points of contact of the tangents drawn from the point T...

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  8. Point on the curve y^(2)=4(x-10) which is nearest to the line x + y = ...

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  11. The mirror image of the parabola y^2=4x in the tangent to the parab...

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  12. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  13. If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line...

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  14. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

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  15. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

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  16. The parabola y^2 = 4x and the circle (x-6)^2 + y^2 = r^2 will have no...

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  17. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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  18. If one end of the diameter of a circle is (3, 4) which touches the x-a...

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  19. The point on the parabola y^(2)=8x whose distance from the focus is 8 ...

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