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The equation of a tangent to the parabol...

The equation of a tangent to the parabola `y^(2) =8x` is `y =x+2` . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

A

(-1,1)

B

(0,2)

C

(2,4)

D

(-2,0)

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. Two straight lines are perpendicular to each other. One of them touche...

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  2. The locus of the point of intersection of tangents to the parabola y^(...

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

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  4. Through the vertex O of the parabola y^(2)=4ax a perpendicular is draw...

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  5. If M is the foot of the perpendicular from a point P on a parabola to ...

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  6. If y(1),y(2) are the ordinates of two points P and Q on the parabola a...

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  7. The locus of foot of perpendicular from the focus upon any tangent to ...

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  8. The length of the perpendicular from the focus S of the parabola y^(2)...

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  9. The number of tangents to y^(2)=2x through (1,2) is

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  10. The number of tangents to y^(2)=6x through (-1,-1) is

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  11. If the ends of a focal chord of the parabola y^(2)=4ax are (x(1),y(1))...

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  12. If (x(1), y(1)) and (x(2), y(2)) are the end points of a focal chord o...

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  13. The point of intersection of the tangents at t(1) and t(2) to the para...

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  14. The slope of a chord of the parabola y^(2)=4ax which is normal at one ...

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  15. On the parabola y^(2)=8x if one extremity of a focal chord is (1//2,-2...

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  16. A focal chord of the parabola y^(2)=4ax meets it at P and Q . If S is...

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  17. The latusrectum of a parabola whose focal chord is PSQ such that SP =3...

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  18. The circle described on any focal chord of a parabola as diameter touc...

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  19. The circle on a focal radius as diameter of a parabola y^(2)=4ax touch...

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  20. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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