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The slope of the normal at (at^(2),2at) ...

The slope of the normal at `(at^(2),2at)` of the parabola `y^(2)=4ax` is

A

1/t

B

t

C

`-t`

D

`-1//t`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. If L,M,N are the three points on the parabola y^(2) = 4ax whose ordin...

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  2. The equation of the normal to the parabola y^(2)=8x at the point t is

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  3. The slope of the normal at (at^(2),2at) of the parabola y^(2)=4ax is

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  4. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  5. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  6. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

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  7. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

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  8. If the normals at the point t(1) and t(2) on y^(2)=4ax intersect at t...

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  9. The number of normals drawn to the parabola y^(2)=4x from the point (...

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  10. The number of normals that can be drawn through (-1,4) to the parabola...

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  11. From a point (C, 0) three normals are drawn to the parabola y^(2) = x....

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  12. If the tangents and normals at the extremities of a focal chord of a p...

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

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  14. The ordinate of the centroid of the triangle formed by conormal points...

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  15. The normals at two points P and Q of a parabola y^(2)=4ax meet at (x(1...

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  16. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

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  17. If alpha is the inclination of a tangent to the parabola y^(2)=4ax th...

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  18. The length of the normal chord drawn at one end of the latus rectum of...

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  19. The locus of apoint that divides chords of slope 2 of the parabola y^(...

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  20. Let O be the vertex and Q be any point on the parabola ,x^(2) =8y . If...

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