RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 22. Parabola

Subject: Maths - Class 11th

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Exercise 22

1 A

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:

y2 = 12x
1 B

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:

y2 = 10x
1 C

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:

3y2 = 8x
2 A

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

y2 = -8x
2 B

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

y2 = -6x
2 C

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

5y2 = -16x
3 A

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

x2 = 16y
3 B

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

x2 = 10y
3 C

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

3x2 = 8y
4 A

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

x2 = -8y
4 B

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

x2 = -18y
4 C

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

3x2 = -16y
5

Find the equation of the parabola with vertex at the origin and focus at F(-2, 0).
6

Find the equation of the parabola with focus F(4, 0) and directrix x = -4.
7

Find the equation of the parabola with focus F(0, -3) and directrix y = 3.
8

Find the equation of the parabola with vertex at the origin and focus F(0, 5).
9

Find the equation of the parabola with vertex at the origin, passing through the point P(5, 2) and symmetric with respect to the y-axis.
10

Find the equation of the parabola, which is symmetric about the y-axis and passes through the point P(2, -3).