Home
Class 12
MATHS
If the focal distance of an end of minor...

If the focal distance of an end of minor axis of any ellipse, ( whose axes along the x and y axes respectively is k and the distance between the foci si 2h. Then the equation of the ellipse is

A

`(x^(2))/(h^(2)) + (y^(2))/(k^(2)) =1`

B

`(x^(2))/(k^(2)) + (y^(2))/(k^(2) -h^(2)) =1`

C

`x^(2) + (y^(2))/(k^(2)) =1 `

D

`(x^(2))/(h^(2)) + y^(2) =1`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If the focal distance of an end of the minor axis of an ellipse (referred to its axes as the axes of x and y, respectively) is k and the distance between its foci is 2h, them find its equation.

The major and minor axes of an ellipse are along x,y axis respectively. If its latusrectum is of length 4 and the distance between the foci is 4sqrt(2) then the equation of that ellipse

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

If the Latusrectum of an ellipse with axis along x- axis and centre at origin is 10 distance between foci=length of minor axis then the equation of the ellipse is

If the length of the minor axis of an ellipse is equal to half of the distance between the foci then the eccentricity of the ellipse is

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is (1)/(5) , distance between foci = length of minor axis, then the equation of the ellipse is

If the focal distance of the one end of the minor axis of standard ellipse is k and distance between its foci is 2h(kgth) , then find its equation.

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The minimum area of the triangle formed by the tangent to the ellipse ...

    Text Solution

    |

  2. The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9...

    Text Solution

    |

  3. If the focal distance of an end of minor axis of any ellipse, ( whose...

    Text Solution

    |

  4. Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from wh...

    Text Solution

    |

  5. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

    Text Solution

    |

  6. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  7. P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F(1), ...

    Text Solution

    |

  8. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

    Text Solution

    |

  9. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  10. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

    Text Solution

    |

  11. The equation of the hyperbola, whose foci are (6, 4) and (-4, 4) and e...

    Text Solution

    |

  12. The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12, whi...

    Text Solution

    |

  13. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

    Text Solution

    |

  14. The equation of the hyperbola with centre at (0, 0) and co-ordinate ...

    Text Solution

    |

  15. The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and ...

    Text Solution

    |

  16. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  17. The locus of the middle points of the chords of hyperbola (x^(2))/(9) ...

    Text Solution

    |

  18. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  19. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

    Text Solution

    |

  20. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

    Text Solution

    |