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The normals at three points P,Q,R of the...

The normals at three points `P,Q,R` of the parabola `y^2=4ax` meet in `(h,k)` The centroid of triangle `PQR` lies on `(A) `x=0` (B) `y=0` (C) `x=-a` (D) `y=a`

A

x = 0

B

y = 0

C

x = -a

D

y = a

Text Solution

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The correct Answer is:
B
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
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  7. The point on the parabola y^(2)=8x whose distance from the focus is 8 ...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. In a parabola y^(2)=4ax, two points P and Q are taken such that the ta...

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