Find the equation of the parabola in the cases given below: Focus (4, 0) and directrix x = – 4

Find the equation of the parabola in the cases given below:

Focus (4, 0) and directrix x = – 4

Sum

Focus (4, 0) and directrix x = – 4

Parabola is open rightwards vertex (0, 0)

a = 4

Distance AS = 4 unit

F² = 4(4)x

Equation of parabola

y² = 16x.

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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.2 [Page 196]

Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.2 | Q 1. (i) | Page 196

Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola

x² = 8y

The focus of the parabola x² = 16y is:

The equation of directrix of the parabola y² = -x is:

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Passing through (5, – 2) and length of the transverse axis along x-axis and of length 8 units