UrbanPro

Your Worksheet is Ready

CBSE - Class 11 Mathematics Conic Sections Worksheet

EXERCISE 10.3

1.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
3. $frac{x^2}{16} + $frac{y^2}{9} = 1$
2.
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).
3.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
2. $frac{x^2}{4} + $frac{y^2}{25} = 1$
4.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
10. Vertices (± 5, 0), foci (± 4, 0)
5.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
9. 4$x^2$ + 9$y^2$ = 36
6.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
1. $frac{x^2}{36} + $frac{y^2}{16} = 1$
7.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
17. Foci (± 3, 0), $a$ = 4
8.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
6. $frac{x^2}{100} + $frac{y^2}{400} = 1$
9.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
18. $b$ = 3, $c$ = 4, centre at the origin; foci on the $x$ axis.
10.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
15. Length of major axis 26, foci (± 5, 0)
11.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
5. $frac{x^2}{49} + $frac{y^2}{36} = 1$
12.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
4. $frac{x^2}{25} + $frac{y^2}{100} = 1$
13.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
16. Length of minor axis 16, foci (0, ± 6).
14.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
12. Vertices (± 6, 0), foci (± 4, 0)
15.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
13. Ends of major axis (± 3, 0), ends of minor axis (0, ± 2)
16.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
11. Vertices (0, ± 13), foci (0, ± 5)
17.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
7. 36$x^2$ + 4$y^2$ = 144
18.
In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
8. 16$x^2$ + $y^2$ = 16
19.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
14. Ends of major axis (0, ±$sqrt{5}$ ), ends of minor axis (± 1, 0)
20.
In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
19. Centre at (0,0), major axis on the $y$-axis and passes through the points (3, 2) and (1,6).

Worksheet Answers

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All