Home
Class 12
MATHS
If the angle between the straight lines ...

If the angle between the straight lines joining foci and the ends of minor axis of the ellipse `x^2/a^2+y^2/b^2=1` is `pi/2` then the eccentricity is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2))) + (y^(2)/(b^(2))) = 1 is

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1

Let S, S' be the focil and BB' be the minor axis of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1. If angle BSS' = theta , then the eccentricity e of the ellipse is equal to

If theta and phi are eccentric angles of the ends of a pair of conjugate diametres of the ellipse x^2/a^2 + y^2/b^2 = 1 , then (theta - phi) is equal to

If the angle between the lines joining the foce of any ellipse to an extremity of the minor axis is 90^0 , find the accentricity. Find also the equation of the ellipse if the major axis is 2sqrt(2) .

The equation of normal to the ellipse x^(2)+4y^(2)=9 at the point wherr ithe eccentric angle is pi//4 is

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

Find the eccentricity, foci and the length of the latusrectum of the ellipse x^2+4y^2+8y-2x+1=0.

If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (pi)/(3) , then the eccentricity of conjugate hyperbola is _________.

ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the angle between the straight lines joining foci and the ends of m...

    Text Solution

    |

  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

    Text Solution

    |

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

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  16. Find the equation of an ellipse hose axes lie along the coordinate ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16s...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

    Text Solution

    |

  20. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |