CBSE Important Questions

CBSE Guess > Papers > Important Questions > Class XI > 2013 > Mathematics > Mathematics By Mr. Sumit Luthra

CBSE CLASS XI

 

Ellipse

  1. If the latus rectum of an ellipse be equal to half of its minor axis, then find its eccentricity.
  2. Find the equation of the ellipse whose centre is at origin and which passes through the points (–3, 1) and (2, –2).
  3. If the eccentricity of an ellipse be 5/8 and the distance between its foci be 10, then find its latus rectum.   
  4. The eccentricity of an ellipse is 2/3, latus rectum is 5 and centre is (0, 0). Find the  equation of the ellipse.
  5. The latus rectum of an ellipse is 10 and the minor axis is equal to the distance between the foci. Find the equation of the ellipse.
  6. An ellipse passes through the point ( – 3, 1) and its eccentricity is √2/3. Find the equation of the ellipse.
  7. If the distance between the foci of an ellipse be equal to its minor axis, then find its eccentricity.
  8. The lengths of major and minor axis of an ellipse are 10 and 8 respectively and its major axis along the y-axis. Find the equation of the ellipse referred to its centre as origin.
  9. Find the distance between the foci of the ellipse x2 + 4y2 = 48 .
  10. Find the equation of the ellipse whose vertices are (±5, 0) and foci are (± 4, 0).
  11. The centre, one of the foci and semi-major axis of an ellipse be (0, 0), (0, 3) and 5 then find its equation.
  12. Find the eccentricity of the ellipse whose latus rectum is equal to the distance between two focus points.
  13. For the ellipse 3x2 + 4y2 = 12 , Find the length of latus rectum.                     
  14. Find the length of the latus rectum of the ellipse .
  15. For the ellipse ,Find the eccentricity.
  16. Find the equation of the ellipse whose one focus is at (4, 0) and whose eccentricity is 4/5.
  17. Find the eccentricity of the ellipse 9x2 + 25y2 = 225.
  18. The equation   represents an ellipse then find r.    
  19. If P= (x,y), F2 = (3, 0),  and 16x2 + 25y2 = 400 , then find PF1 + PF2
  20. If the eccentricity of the two ellipse and   are equal, then find value of a/b.

 

Submitted By Mr. Sumit Luthra
About author: Pgt math,Mount Caremel school,N.D 76
Mobile:9891985899
Email: [email protected]