Home
Class 12
MATHS
If a number of ellipse whose major axis ...

If a number of ellipse whose major axis is x - axis and the minor axis is y - axis be described having the same length of the major axis as 2a but a variable minor axis, then the tangents at the ends of their latus rectum pass through fixed points whose distance from the centre is equal to

A

`(1)/(2)" units"`

B

1 unit

C

`(3)/(2)" units"`

D

2 units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 104

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 107

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Show that the tangents at the ends of a latus rectum of ellipse intersect on the major axis.

The differential equation for all ellips whose major axis is twice its minor axis is

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

If the length of the major axis of an ellipse is 17/8 times the length of the minor axis, then the eccentricity of the ellipse is

If latus-rectum = semi-minor axis, then e=

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 16x^(2)+y^(2)=16

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 36x^(2)+4y^(2)=144

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x^(2)+9y^(2)=36

NTA MOCK TESTS-NTA JEE MOCK TEST 106-MATHEMATICS
  1. If f(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+…… upto, oo, t...

    Text Solution

    |

  2. The area (in square units) bounded byy=x^(2)+x+1 and x+y=2 is

    Text Solution

    |

  3. Suppose cos^(2)y.(dy)/(dx)=sin(x+y)+sin(x-y), |x| le (pi)/(2) and |y|l...

    Text Solution

    |

  4. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  5. If a number of ellipse whose major axis is x - axis and the minor axis...

    Text Solution

    |

  6. Find the set of all values of a for which the roots of the equation x^...

    Text Solution

    |

  7. Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin...

    Text Solution

    |

  8. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

    Text Solution

    |

  9. Let veca=(cos theta)hati-(sin theta)hatj, vecb=(sin theta)hati+(cos th...

    Text Solution

    |

  10. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  11. A line is drawn from the point P(1, 1, 1) and perpendicular to a line ...

    Text Solution

    |

  12. If alpha,beta,gamma are the roots of p x^2+q x^2+r=0, then the value o...

    Text Solution

    |

  13. If f(x)=sin^(-1)""(2*(3)^(x))/(1+9^(x)), then f'(-(1)/(2)) is equal to

    Text Solution

    |

  14. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  15. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  16. The maximum number of points on the parabola y^(2)=16x which re equidi...

    Text Solution

    |

  17. The slope of the tangent to the curve y=x^(3)+x+54 which also passes t...

    Text Solution

    |

  18. In an arithmetic progression containing 99 terms, then sum of all the ...

    Text Solution

    |

  19. Consider the system of equations ax+y+bz=0, bx+y+az=0 and ax+by+abz=0 ...

    Text Solution

    |

  20. Let A(z(1)),B(z(2)) and C(z(3)) be complex numbers satisfying the equa...

    Text Solution

    |