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The number of tangents to y^(2)=6x throu...

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

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
C
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A : The sum and product of the slopes of the tangents to the parabola y^(2)=8x drawn form the point (-2,3) are -3/2,-1 . R : If m_(1),m_(2) are the slopes of the tangents of the parabola y^(2) =4ax through P (x_(1),y_(1)) then m_(1)+m_(2)=y_(1)//x_(1),m_(1)m_(2)=a//x_(1) .

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The length of the perpendicular from the focus S of the parabola y^(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

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  15. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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  16. If a chord of the parabola y^(2)=4x passes through its focus and makes...

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  17. The length of the chord of the parabola x^(2)=4ay passing through the ...

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  18. In the parabola y^(2)= 4ax the length of the chord passing through th...

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  19. The length of chord intercepted by the parabola y=x^(2)+3x on the line...

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  20. If the line y = mx + a meets the parabola x^(2)=4ay in two points whos...

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