Home
Class 11
MATHS
Show that the difference of the focal di...

Show that the difference of the focal distances of any point on the hyperbola `9x^2-4y^2 = 36` is equal to its transverse axis.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 3

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos
  • MODEL QUESTION PAPERS-SET 5

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Show that the difference of the focal distances of any point on the hyperbola 9x^(2) - 16y^(2) = 144 is equal to its transverse axis.

Show that the difference of focal distances of any point of the hyperbola 3x^(2) - 4y^(2) = 48 is constant.

The difference of focal distances of any point on a hyperboal is equal to-

The foci of the hyperbola 4x^2-9y^2=36 is

Show that the difference of the distances from each focus of any point on the hyperbola 9x^2-16y^2=144 is equal to the length of the transverse axis.

Find the sum of the focal distances of any point on the ellipse 9x^2+16 y^2=144.

The sum of the focal distances of any point on the ellipse 4x^(2) + 25y = 100 is_

Find the sum of the focal distance of any point on the ellipse 9x^(2) +25y^(2) = 225 .

The sum of the focal distances of any point on the conic 16x^(2) + 25 y ^(2)=400 is-

The length of the transverse axis of the hyperbola 9y^(2) - 4x^(2) = 36 is -

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

    Text Solution

    |

  2. How many different arragements of the letters of the word ALGEBRA can ...

    Text Solution

    |

  3. If the sum of the n term of an AP is n^2 + 2n . which, term will ...

    Text Solution

    |

  4. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

    Text Solution

    |

  5. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

    Text Solution

    |

  6. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

    Text Solution

    |

  7. If the straight line dx + cy = cd is perpendicular the line joining th...

    Text Solution

    |

  8. Find the equation of a circle which passes through (0, -3) and (3, -4)...

    Text Solution

    |

  9. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

    Text Solution

    |

  10. If f(x)=x|x|,prove that f'(x)=2|x|.

    Text Solution

    |

  11. ‘If x is a whole number and x^2 is even, then x is also an even number...

    Text Solution

    |

  12. ‘If a and b are two odd integer, then (a + b) is an even intege.”—exam...

    Text Solution

    |

  13. One cord is drawn at random a pack of 52 c’ards..Find the probability ...

    Text Solution

    |

  14. Find the mean and variance for the following frequency distributions i...

    Text Solution

    |

  15. Solve : 2cos^2 2thetacos5theta+2=sin^2theta,theta in R.

    Text Solution

    |

  16. If 1/(^5Cr)+1/(^6Cr)+1/(~^4Cr)find the value of r.

    Text Solution

    |

  17. Show that there are 72 ways of selecting 5 letters from the word INDEP...

    Text Solution

    |

  18. The co-ordinate of vertex and focus of a parabola x^2 + by^2 + 2hxy+ 2...

    Text Solution

    |

  19. Prove that the 4 foci of the two ellipses 25x^2+169y^2=4225 and 400x^2...

    Text Solution

    |

  20. Show that the difference of the focal distances of any point on the hy...

    Text Solution

    |