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  •  The length of latus rectum of the parabola, whose focus is <img alt="\mathrm{(2 \cos 2 \theta, a \cos 2 \theta)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%282%20%5Cco

 The length of latus rectum of the parabola, whose focus is \mathrm{(2 \cos 2 \theta, a \cos 2 \theta)} and directrix is the line \mathrm{y=a}, is

Option: 1

\mathrm{\left|4 a \cos ^{2} \theta\right|}


Option: 2

\mathrm{\left|4 a \sin ^{2} \theta\right|}


Option: 3

\mathrm{|4 a \cos 2 \theta|}


Option: 4

\mathrm{|a \cos 2 \theta|}


Answers (1)

best_answer

Distance of focus from directrix is

\mathrm{|a \cos 2 \theta-a|}
Thus length of latus rectum is \mathrm{\left|4 a \sin ^{2} \theta\right|}.

Posted by

Pankaj

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