Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
$$
y^{2}=12 x
$$

Answer

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Precalculus

NCERT Class 11 - Math

Chapter 11

Conic Sections

Section 2

Sections of a Cone

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Video Transcript

even aggression as y squared equals two relics. No, here the coefficient of excess positive. Hence the parabola opens towards the right now let us compare this with the situation Y squared equals two four X. Which is the standard equation you obtain that for a equals to 12 which means Is equal to three. Now, first the coordinates of focus, you know that has given us e commerce zero. It means that is three comma zero. Oh, let us look at the second part, the access of the parabola. Since the evaluation involves y squared the access of the parabola is the X axis texas is the ex excess. Yeah. Third parties to find the intuition of the direct tricks which has given us X equals two minus of A. Which means that X plus zero which is X plus three equals to zero. This is the question of their direct clicks. Next is the length of the latest rectum which is given us four a which is four into three which is that's all

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