Question

find the area of the trinangle formed by the lines joining the vertex of the parabola y²=8x to the ends of the latus rectum
​

Answer 1

Answer:

4units

Step-by-step explanation:

we know y^2=4ax

so a=2

the ends of latus rectum are (a,2a) and (a,-2a)

The area of triangls =1/2×b×h

base is 2

height is the distance between latus rectum

root{(a-a)^2+(2a+2a)^2}

=root(4a^2)

2a

=2×2=4

Area =1/2×2×4=4units