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 vertex, focus, axis, directrix, and the length of the latus rectum of the parabola y² – 8y – 8x + 24 = 0.

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

y² = 20x

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 double ordinate passing through the focus is:

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

Vertex (1, – 2) and Focus (4, – 2)

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

Foci `(+- 3, 0), "e"+ 1/2`

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

Length of latus rectum 4, distance between foci `4sqrt(2)`, centre (0, 0) and major axis as y-axis

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

Foci (± 2, 0), Eccentricity = `3/2`

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

Centre (2, 1), one of the foci (8, 1) and corresponding directrix x = 4

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

x² – 2x + 8y + 17 = 0