Home
Class 12
MATHS
An ellipse having foci (3,1) and (1, 1) ...

An ellipse having foci `(3,1)` and `(1, 1)` passes through the point `(1, 3)` has the eccentricity

A

a)`sqrt2-1`

B

b)`sqrt3-1`

C

c)`(sqrt2-1)/2`

D

d)`(sqrt3-1)/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Equations, Inequation and Expressions

    A DAS GUPTA|Exercise Exercise|301 Videos

Similar Questions

Explore conceptually related problems

An ellipse having foci at (3,1) and (1,1) passes through the point (1,3) .Its eccentricity is: (A) sqrt(2)-1 (B) sqrt(3)-1 (C) (1)/(2)(sqrt(2)-1) (D) (1)/(2)(sqrt(3)-1)

An ellipse has foci (4, 2), (2, 2) and it passes through the point P (2, 4). The eccentricity of the ellipse is

An ellipse having foci at (3,3) and (-4,4) and passing through the origin has eccentricity equal to (3)/(7) (b) (2)/(7)(c)(5)/(7)(d)(3)/(5)

An ellipse with foci (-1,1) and (1,1) passes through (0,0) .Then its equation is

" An ellipse with foci " (-1,1) " and " (1,1) " passes through " (0,0) " then its equation is "

Find the equation of the ellipse, referred to its axes as the x, y axes respectively, which passes through the point (-3, 1) and has the eccentricity sqrt(2/5) .

Find the equation of the ellipse whose foci are (pm3,0) and it passes through the point (2,sqrt(7)) .

Find the equation to the ellipse (referred to its axes as the axation of x and y respectively) which passes through the point (-3,1) and has eccentricity sqrt((2)/(5))

An ellipse with foci (2,2),(3,-5) passes through (6,-1) then its semi - latusrectum is

Find the equation of an ellipse hose axes lie along the coordinate axes,which passes through the point (-3,1) and has eccentricity equal to sqrt(2/5)

A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

    Text Solution

    |

  2. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

    Text Solution

    |

  3. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

    Text Solution

    |

  4. The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

    Text Solution

    |

  5. Find the equaiton of the tangents to the hyperbola x^2 - 2y^2 = 18 whi...

    Text Solution

    |

  6. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

    Text Solution

    |

  7. if the ordinate of the point of contact be 2 then the equation of the ...

    Text Solution

    |

  8. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  9. If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to ...

    Text Solution

    |

  10. An ellipse having foci (3,1) and (1, 1) passes through the point (1, 3...

    Text Solution

    |

  11. If P & Q are the ends of a pair of conjugate diameters & C is the cent...

    Text Solution

    |

  12. If any point on a hyperbola is (3 tantheta, 2sectheta) then eccentrici...

    Text Solution

    |

  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

    Text Solution

    |

  14. Equation (2 + lambda)x^2-2 lambdaxy+(lambda -1)y^2-4x-2=0 represents a...

    Text Solution

    |

  15. Find the locus of the middle points of the normals chords of the recta...

    Text Solution

    |

  16. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

    Text Solution

    |

  17. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  18. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  19. Let P be a point such that the sum of the slopes of normals drawn from...

    Text Solution

    |

  20. Let ABC be an equilateral triangle inscribed in the circle x^2+y^2=a^...

    Text Solution

    |