Question

Find the length of latus - rectum of the parabola y^2=8x​

Answer 1

Answer:

Length of Latusrectum = 8 units

Step-by-step explanation:

y^2 = 8x

on comparing with

y^2 = 4ax

we get

4a = 8

hence, Length of Latusrectum = 8 units

Answer 2

SOLUTION

TO DETERMINE

The length of latus - rectum of the parabola

$\sf {y}^{2} = 8x$

CONCEPT TO BE IMPLEMENTED

Equation of a parabola is

$\sf {y}^{2} = 4ax$

Where 4a = Length of latus rectum

EVALUATION

Here the given equation of the parabola is

$\sf {y}^{2} = 8x$

Comparing with the general equation of parabola

$\sf {y}^{2} = 4ax$

We have

4a = 8

FINAL ANSWER

The length of the latus rectum = 8 unit

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