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The length of the latus rectum of the pa...

The length of the latus rectum of the parabola whose focus is `((u^2)/(2g)sin2alpha,-(u^2)/(2g)cos2alpha)` and directrix is `y=(u^2)/(2g)` is (a)`(u^2)/gcos^2alpha` (b) `(u^2)/gcos^2 2alpha` (c)`(2u^2)/gcos^2 2alpha` (d) `(2u^2)/gcos^2alpha`

A

`u^(2)/gcos^(2)alpha`

B

`u^(2)/gcos2alpha`

C

`(2u^(2))/gcos2alpha`

D

`(2u^(2))/gcos^(2)alpha`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. The area of the triangle inscribed in the parabola y^(2)=4x the ordina...

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  2. The length of the latusrectum of the parbola whose focus is (3, 3) and...

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  3. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

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  4. PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...

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  5. If the segment intercepted by the parabola y=4a x with the line l x+m ...

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  6. The length of a focal chord of the parabola y^2=4ax making an angle th...

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  7. Show that the parametric point (2+t^(2),2t+1) represents a parabola. S...

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  8. The ratio in which the line segment joining the point (4, -6) and (3, ...

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  9. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  10. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

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  11. about to only mathematics

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

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  13. If the line x + y = 1 touches the parabola y^2-y + x = 0, then the coo...

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  14. Find the locus of the foot of the perpendiculars drawn from the vertex...

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  15. Equation of line touching both the parabolas y^2=4x & x^2=-32y

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  16. If t is the parameter for one end of a focal chord of the parabola y^2...

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  17. Find the equation of normal to the parabola y^2=4axat point (at^2, 2at...

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  18. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

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  19. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  20. The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whos...

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