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

`(u^(2))/(g)cos^(2)alpha`

`(u^(2))/(g)cos2alpha`

`(2u^(2))/(g)cos2alpha`

`(2u^(2))/(g)cos^(2)alpha`

Text Solution

Verified by Experts

(4) Length of latus rectum `=2xx` Distance of focus from directrix
`=2|(-(u^(2))/(2g)cos2alpha-(u^(2))/(2g))/(sqrt(1))|`
`=(2u^(2))/(g)cos^(2)alpha`

Similar Questions

Explore conceptually related problems

The length of the latus rectum of the parabola whose focus is a. ((u^2)/(2g)sin2alpha,-(u^2)/(2g)cos2alpha) and directrix is y=(u^2)/(2g) is

The length of the latus rectum of the parabola whose focus is a. ((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 (2u^2)/gcos^2 2alpha (d) (2u^2)/gcos^2alpha

The length of the latus rectum of the parabola whose focus is ((u^(2))/(2g)sin2 alpha,-(u^(2))/(2g)cos2 alpha) and directrix is y=(u^(2))/(2g) is (u^(2))/(g)cos^(2)alpha(b)(u^(2))/(g)cos^(2)2 alpha(2u^(2))/(g)cos^(2)2 alpha(d)(2u^(2))/(g)cos^(2)alpha

The length of the latusrectum of the parabola whose focus is (mu^(2)/(2g)sin2alpha,-(mu^(2))/(2g)cos2alpha)

The length of latus rectum of the parabola whose focus is ((u^(2))/(2g) Sin 2 alpha, - (u^(2))/(2g) Cos 2 alpha) and directrix is y= (u^(2))/(2g) is

The length of latus rectum of the parabola whose focus is ((u^(2))/(2g) Sin 2 alpha, (u^(2))/(2g)) and directrix is y= (u^(2))/(2g) is

Find the length of the latus rectum of the parabola whose focus is at (2, 3) and directrix is the line x-4y+3=0 .

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

Text Solution

Similar Questions

Recommended Questions