Home
Class 12
MATHS
show that the absolute value of the foca...

show that the absolute value of the focal distances of any point P on the hyperbola in the length of its transverse axis.

Text Solution

Verified by Experts

The correct Answer is:
2a
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.3|6 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.4|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.1|14 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

Prove that the sum of the focal distance of any point on the ellipse is constant and is equal to the length of the major axis.

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

If focal distance of a point P on the parabola y^(2)=4ax whose abscissa is 5 10, then find the value of a.

In an ellipse, the sum of the distances between foci is always less than the sum of focal distances of any point on it. Statement 2 : The eccentricity of any ellipse is less than 1.

The distance of the point P(a,b,c) from the z axis is

N is the foot of the perpendicular from P on the transverse axis. The tangent to the hyperbola at P meets the transverse axis at T. If O is the center of the hyperbola the OT.ON is equal to:

P is a point on the hyperbola (x^(2))/(y^(2))-(y^(2))/(b^(2))=1 , and N is the foot of the perpendicular from P on the transverse axis. The tantent to the hyperbola at P meets the transverse axis at T. If O is the centre of the hyperbola, then OT.ON is equal to

Find the eccentricity of the hyperbola with foci on the x-axis if the length of its conjugate axis is (3/4)^("th") of the length of its tranverse axis.

PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is : (A) equal to the length of the latus rectum (B) equal to the focal distance of the point P (C) equal to the twice of the focal distance of the point P (D) equal to the distance of the point P from the directrix.

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -SOLUTION TO EXERCISE 5.2
  1. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  2. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  3. Find the equation of the hyperbola in each of the cases given below ...

    Text Solution

    |

  4. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  5. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  6. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  7. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  8. Find the vertex ,focus , equation of directrix , and length of latus ...

    Text Solution

    |

  9. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  10. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  11. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  12. Identify the type of conic and find centre, foci, vertices and di...

    Text Solution

    |

  13. Prove that the length of the latusrection of the hyperbola x^(2)/a...

    Text Solution

    |

  14. show that the absolute value of the focal distances of any point P on...

    Text Solution

    |

  15. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  16. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  17. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  18. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  19. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |

  20. Identify the type of conic and find centre, foci, vertices, and direct...

    Text Solution

    |