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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

SP

B

2SP

C

`(1)/(2)` SP

D

none

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
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  2. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

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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. The circle passing through three conormal points also passes through

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

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  6. If the normals at two points on the parabola y^(2)=4ax intersect on t...

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  7. If the normals at two points on the parabola intersects on the curve t...

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  8. The locus of the point of intersection of perpendicular tangents to th...

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  9. The three normals from a point to the parabola y^(2)=4ax cut the axes...

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  10. If the normals from any point to the parabola x^(2)=4y cuts the line y...

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  11. If a circle cuts the parabola y^(2)=4ax in four points then the algebr...

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  12. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

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  13. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

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  14. The normal at a point P on the parabola y^(2)=4ax cuts the curve aga...

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  15. The subnormal of the parabola y^(2)=4ax is equal to

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  16. The length of the subnomal to the curve y^2=2px is

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  17. If P is a point on the parabola y^(2)=4ax such that the subtangent and...

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  18. If PSP^(1) is a focal chord of a parabola y^(2)=4ax and SL is its semi...

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  19. An arch is in the shape of a parabola whose axis is vertically downwor...

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  20. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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