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From a point (h,k) three normals are dra...

From a point (h,k) three normals are drawn to the parabola `y^2=4ax`. Tangents are drawn to the parabola at the of the normals to form a triangle. The Centroid of G of triangle is

A

`h=0,k=0`

B

`h=2k,k=2`

C

`h=5a,k=0`

D

`h=0,k=5a`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

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  2. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

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  3. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

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  4. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

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  5. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

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  6. If (-2a,a+1) lies in the interior (smaller region) bounded by the circ...

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  7. Prove that the locus of the point of intersection of the normals at th...

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  8. The angle of intersection between the curves y^2=4x" and "x^2=32y at p...

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  9. The algebraic sum of the ordinates of the feet of 3 normals drawn to t...

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  10. about to only mathematics

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  11. From the point P(-1,2) tangents are drawn to the parabola y^2=4x. Find...

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  12. From the focus of the parabola y^2=2px as centre, a circle is drawn so...

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  13. The maximum number of common chords of a parabola and a circle can be

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  14. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of in...

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  15. If length of focal chord P Q is l , and p is the perpendicular distanc...

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  16. The length of the chord of the parabola y^2=x which is bisected at the...

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  17. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

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  18. The mid-point of the chord intercepted on the line 4x-3y+4=0 by the pa...

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  19. The polar of a point with respect to y^2=4x touches x^2=4y. If the loc...

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  20. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

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