CBSE - Class 11 Mathematics Conic Sections Worksheet
EXERCISE 10.4
1.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 12. Foci (± 3$sqrt{5}$, 0), the latus rectum is of length 8.
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. 2. $frac{y^2}{9} - $frac{x^2}{27} = 1$
3.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 11. Foci (0, ±13), the conjugate axis is of length 24.
4.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 14. vertices (± 7,0), $e$ = $frac{4}{3}$.
5.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 13. Foci (± 4, 0), the latus rectum is of length 12
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. 1. $frac{x^2}{16} - $frac{y^2}{9} = 1$
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. 9. Vertices (0, ± 3), foci (0, ± 5)
9.
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)
10.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 10. Foci (± 5, 0), the transverse axis is of length 8.
11.
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
12.
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. 3. 9$y^2$ – 4$x^2$ = 36
13.
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.
14.
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
15.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions. 15. Foci (0, ±$sqrt{10}$ ), passing through (2,3)
