Home
Class 12
MATHS
The parametric coordinates of a point on...

The parametric coordinates of a point on the ellipse, whose foci are `(-3, 0)` and (9, 0) and eccentricity `(1)/(3)` , are

A

`(-3 + 9 cos theta, 9 sin theta)`

B

`(4-3 cos theta, 4 + 9 sin theta)`

C

`( 3 + 18 cos theta, 4 + 9 sin theta)`

D

`( 3 + 18 cos theta, 12sqrt(2) sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The parametric representation of a point on the ellipse whose foci are (-1, 0) and (7, 0) and eccentricity 1/2, is

The parametric representation of a point of the ellipse whhose foci are (3,0) and (-1,0) and accentricity 2/3 is

Find the equation of the ellipse whose foci re (4,0) and (-4,0) eccentricity =1/3

Find the equation to the ellipse whose foci are (4, 0) and (-4, 0) and eccentricity is 1/3 .

Find the equation of the ellipse whose foci are (pm4,0) and eccentricity is (1)/(3) .

Find the equation of the ellipse whose foci are (pm2,0) and eccentricity is (1)/(3) .

Find the equation of the ellipse whose foci are (0,pm1) and eccentricity is (1)/(2) .

Find the equation of the ellipse whose foci are (0,pm3) and eccentricity is (3)/(5) .

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  2. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  3. The parametric coordinates of a point on the ellipse, whose foci are (...

    Text Solution

    |

  4. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  5. The locus of mid points of parts in between axes and tangents of ellip...

    Text Solution

    |

  6. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

    Text Solution

    |

  7. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

    Text Solution

    |

  8. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  9. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  10. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

    Text Solution

    |

  11. The line lx + my + n = 0 is a normal to (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  12. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  13. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

    Text Solution

    |

  14. The centre of the ellipse 4x^(2) + 9y^(2) + 16 - 18y - 11 = 0 is

    Text Solution

    |

  15. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

    Text Solution

    |

  16. The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 =...

    Text Solution

    |

  17. If the line joining foci subtends an angle of 90^(@) at an extremity ...

    Text Solution

    |

  18. In an ellipse the distance between the foci is 8 and the distance betw...

    Text Solution

    |

  19. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  20. The tangent at any point on the ellipse 16x^(2) + 25^(2) = 400 meets ...

    Text Solution

    |