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  • The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at distance <img alt="\mathrm R" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%20R"

The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at distance \mathrm R and   \mathrm {S(>R)}respectively from the origin, is  \mathrm {\frac{m(S-R)}{2}}  . Then the value of \mathrm {m}  is

Option: 1

6


Option: 2

8


Option: 3

4


Option: 4

7


Answers (1)

best_answer

According to question, we have
Coordinates of vertex =(R, 0) 

and Coordinates of focus =(S, 0) 

Now, as we know length of latus rectum

=4 \times Distance between focus and vertex

=4(S-R)[\because S>R]

Posted by

vishal kumar

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