Question

The length of the latus rectum of the parabola y2=ax is

Answer 1

Answer:

The length of the latus rectum of the parabola y2 = 4ax is 4a.

Answer 2

The length of the latus rectum of the parabola y² = ax is a unit

Given :

The parabola y² = ax

To find :

The length of the latus rectum of the parabola

Solution :

Step 1 of 2 :

Write down the given equation of the parabola

The given equation of the parabola is

y² = ax - - - - - (1)

Step 2 of 2 :

Find the length of the latus rectum of the parabola

Comparing the given equation of the parabola with general equation of the parabola y² = 4Ax we get

4A = a

Hence the length of the latus rectum of the parabola

= 4A unit

= a unit

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the slope of the chord of parabola y^2=4x whose midpoint is (1,1). Help with explanation

https://brainly.in/question/13409021

2. The length of the latus rectum of the parabola

13[(x-3)^2+(y-4)^2 )= (2x-3y+ 5)^2 is

https://brainly.in/question/24980361

3. A hyperbola has its center at (3, 4), a vertex at the point (9, 4), and the length of its latus rectum is 3 units. An ex...

https://brainly.in/question/30210645