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Find the locus of midpoint of family of ...

Find the locus of midpoint of family of chords `lamdax+y=5(lamda` is parameter) of the parabola `x^(2)=20y`

A

`y^(2)=10(x-5)`

B

`x^(2)=10(y-5)`

C

`x^(2)+y^(2)=25`

D

none of these

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The correct Answer is:
B
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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

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

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

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

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

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

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

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  9. Centre of locus of point of intersection of tangent to y^2 = 4ax, if t...

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  10. Two parabolas y^(2)=4a(x-lamda(1))andx^(2)=4a(y-lamda(2)) always touch...

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  11. Tangent to the curve y=x^(2)+6 at a point P(1, 7) touches the circle x...

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  12. The locus of the midpoint of the segment joining the focus to a moving...

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  13. Parabolas (y-alpha)^(2)=4a(x-beta)and(y-alpha)^(2)=4a'(x-beta') will h...

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  14. If the normals at the end points of a variable chord PQ of the parabol...

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  15. If the chord of contact of tangents from a point P(h, k) to the circle...

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

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  17. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

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  18. The equation of the line of the shortest distance between the parabola...

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  19. The exhaustive set of values of k for which tangents drawn from the po...

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  20. The locus of the point (sqrt(3h),sqrt(sqrt(3)k+2)) if it lies on the l...

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