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The normal at 'P' cuts the axis of the parabola `y^(2) =4ax` in G and S is the focus of the parabola. If ` Delta SPG` is equilateral then each side is of length.

A

a

B

2a

C

3a

D

4a

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

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  2. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

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  3. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  4. If two of the three feet of normals drawn from a point to the parabola...

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  5. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

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  6. The locus of middle points of normal chords of the parabola y^(2) = 4...

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  7. If the normals at P and Q meet again on y^(2) =4ax at R then centro...

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  8. If the normal to y^(2) =4ax at t1 cuts the parabola again at t2 th...

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  9. Point of concurrence of the normals drawn at (2,8) , (128,64) , (162, ...

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  10. If ( x1, y1) , (x2, y2) ,(x3y3) are feet of the three normals drawn f...

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  11. If two normals drawn to the y^(2) =8x at ( 2,4) and (18, 12) intersec...

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  12. If the normals at P and Q meet again on the parabola y^(2) =4ax then ...

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  13. The shortest distance between the line y-x =1 and the curve x=y^2 is

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  14. If the parabola y^(2)=ax passes through (1, 2) then the equation of th...

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  15. A set of parallel chords of the parabola y^(2) =4ax have their mid-po...

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  16. If the angular bisectors of the coordinates axes cut the parabola y^(2...

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  17. If the straight line y=mx+c is parallel to the axis of the parabola y^...

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  18. The set of point on the axis of the parabola y^(2) -2y -4x + 5=0 from ...

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  19. Given :A circle 2x^(2) +2y^(2) =5 and a parabola y^(2) =4 sqrt5 x. ...

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  20. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

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