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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:
D
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ARIHANT MATHS ENGLISH-PARABOLA-Exercise For Session 2
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  2. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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

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  4. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

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  5. Prove that any three tangents to a parabola whose slopes are in harmon...

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  6. prove that the locus of the point of intersection of the tangents at t...

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  7. Find the equation of the normal to the parabola y^2=4x which is para...

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  8. Find the equation of the normal to the parabola y^2=4x which is perp...

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  9. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

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  10. The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on th...

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  11. Three normals are drawn from (2lamda,0) to the parabola y^2=4x .Show t...

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  12. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

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  13. Find the angle between the tangents drawn from the origin to the pa...

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  14. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  15. The diameter of the parabola y^2=6x corresponding to the system of par...

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  16. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

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  17. for parabola x^2+y^2+2xy−6x−2y+3=0, the focus is.

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  18. Find the locus of the middle points of the chords of the parabola y^2=...

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  19. A ray of light moving parallel to the x-axis gets reflected form a ...

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  20. The locus of the point of intersection of the tangents to the parabola...

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