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If the straight line y=mx+c is parallel to the axis of the parabola `y^(2) =lx` and intersects the parabola at `((c^(2))/(8),c)` then the length of the latus rectum is

A

2

B

3

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The point (3,4) is the focus and 2x-3y+5=0 is the directrix of a parab...

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  2. If the parabola y^(2)=4ax passes through (-3,2) then the length of its...

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

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  4. The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

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  5. The equation of the latus rectum of the parabola (y-2)^(2)=-4(x+2) is

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  6. The equation of the directrix to the parabola y^(2)-2x-6y-5=0 is

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  7. The equation of the directrix of the parabola y^(2)+4y+4x+2=0 is

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  8. The parabola (y+1)^(2)=a(x-2) passes through point (1,-2). The equaito...

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  9. The equation of the directrix of the parabola y^(2)-4ay-2ax=0 is

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  10. The equation of the latus rectum of the parabola x^(2)-12x-8y+52=0 is

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  11. The equation of the directrix of the parabola 3x^(2)-9x+5y-2=0 is

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  12. The equation of the directrix of the parabola whose vertex (3,2) and f...

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  13. The equation of the axis of the parabola (y+3)^(2)=4 (x-2) is

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  14. Axis of the parabola x^(2)-3y-6x+6=0 is

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  15. The equation of the axis of the parabola 3x^(2)-9x+5y-2=0 is

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  16. The parabola y=px^(2)+px+q is symmetrical about the line

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  17. The focal distance of the point (9,6) on the parabola y^(2)=4x is

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  18. The focal distance of the point (4,2) on the parabola x^(2)=8y is

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  19. the eccentricity of the parabola y^2-2x-6y+5=0 is

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  20. If the vertex of the parabola y = x^(2)-8x+c lies on x-axis then the v...

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