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Free CBSE - Class 11 Mathematics - Conic Sections worksheets

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1.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
20. Major axis on the $x$-axis and passes through the points (4,3) and (6,2).
2.
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
1. $frac{x^2}{16} - $frac{y^2}{9} = 1$
3.
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
2. $frac{y^2}{9} - $frac{x^2}{27} = 1$
4.
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
4. 16$x^2$ – 9$y^2$ = 576
5.
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
5. 5$y^2$ – 9$x^2$ = 36
6.
In each of the Exercises 1 to 6, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
6. 49$y^2$ – 16$x^2$ = 784.
7.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
7. Vertices (± 2, 0), foci (± 3, 0)
8.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
8. Vertices (0, ± 5), foci (0, ± 8)
9.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
9. Vertices (0, ± 3), foci (0, ± 5)
10.
An equilateral triangle is inscribed in the parabola $y^2$ = 4$ax$, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
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