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Find the Coordinates of the Focus, Axis of the Parabola, the Equation of Directrix and the Length of the Latus Rectum for X2 = 6y - Mathematics

Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x2 = 6y

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Solution

The given equation is x2 = 6y.

Here, the coefficient of is positive. Hence, the parabola opens upwards.

On comparing this equation with x2 = 4ay, we obtain

Length of latus rectum = 4a = 6

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 11 Conic Sections
Q 2 | Page 246
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