Question

For the parabola $y^2=100x$,the focus and length of latus rectum is

• A. $(0,25),400$
• B. $(100,0),25$
• C. $(25,0),100$
• D. $(0,25),100$

Answer 1

The correct option is C $(25,0),100$

For the parabola $y^2=4ax$,

co-ordinates of focus$=(a,0)$

length of latus rectum $=4a$

For the given parabola $y^2=100x=4\left(25\right)x$, the value of $a=25$

So, co-ordinates of focus$=(a,0)=(25,0)$

length of latus rectum $=4a=4\left(25\right)=100$

So, the answer is the option (C).