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CBSE - Class 11 Mathematics Conic Sections Worksheet

EXERCISE 10.2

1.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
8. Focus (0,–3); directrix $y$ = 3
2.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
9. Vertex (0,0); focus (3,0)
3.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
7. Focus (6,0); directrix $x$ = – 6
4.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
2. $x^2$ = 6$y$
5.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
1. $y^2$ = 12$x$
6.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
11. Vertex (0,0) passing through (2,3) and axis is along $x$-axis.
7.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
12. Vertex (0,0), passing through (5,2) and symmetric with respect to $y$-axis.
8.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
6. $x^2$ = – 9$y$
9.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
5. $y^2$ = 10$x$
10.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
4. $x^2$ = – 16$y$
11.
In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
3. $y^2$ = – 8$x$
12.
In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:
10. Vertex (0,0); focus (–2,0)

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