Question

what is letus rectum??? write formula​

Answer 1

Answer:

hi dude.....

Step-by-step explanation:

Mathematics, a conic section is defined as a curve which is obtained from the intersection of the surface of a cone with a plane. There are three different types of conic sections. They are parabola, ellipse and hyperbola. To define these curves, many important terms are used, such as focus, directrix, latus rectum, locus, asymptote, and so on. In this article, let us discuss the term “Latus Rectum

Length of Latus Rectum of Parabola

Let the ends of the latus rectum of the parabola, y2=4ax be L and L’. The x-coordinates of L and L’ are equal to ‘a’ as S = (a,0)

Assume that L = (a,b).

We know that L is a point of the parabola, we have

b2 = 4a (a) = 4a2

Take square root on both sides, we get b = ±2a

Therefore, the ends of the latus rectum of a parabola are L = (a,2a), and L’ = (a,-2a )

Hence, the length of the latus rectum of a parabola, LL’ is 4a.

hope it helps

have a nice day...

Answer 2

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The latus rectum of a conic section is the chord through a focus parallel to the conic section directrix (Coxeter 1969). "Latus rectum" is a compound of the Latin latus, meaning "side," and rectum, meaning "straight." Half the latus rectum is called the semilatus rectum.