Home
Class 12
MATHS
If m1, m2, are slopes of the tangens to ...

If `m_1, m_2,` are slopes of the tangens to the hyperbola `x^(2)//25-y^(2)//16=1` which pass through the point (6, 2) then

A

`m_(1)+m_(2)=24//11`

B

`m_(1)+m_(2)=48//11`

C

`m_(1)m_(2)=28//11`

D

`m_(1)m_(2)=11//20`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Additional Exercise|29 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

If m_1,m_2 are slopes of the tangents to the hyperbola x^(2) //25 -y^(2) //16 =1 which pass through the point (6,2) then

The sum and product of the slopes of the tangents to the hyperbola x^(2)/4-y^(2)/2=1 drawn from the point (3,-2) are

The sum of the slopes of the tangents to the ellipse x^(2)//9+y^(2)//4=1 drawn from the point (6, -2) is

What are the foci of the hyperbola x^(2)/(36)-y^(2)/(16)=1

The sum and product of the slopes of the tangents to the hyperbola 2x^(2) -3y^(2) =6 drawn form the point (-1,1) are

The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 drawn from the point (6, -2) is

The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)=6 drawn from the point (1, 2) is

The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)=6 drawn from the point (1,2) is

AAKASH SERIES-HYPERBOLA-Exercise -I
  1. The nummber of tangents to x^(2)//9-y^(2)//4=1 throught (6,2) is

    Text Solution

    |

  2. For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a...

    Text Solution

    |

  3. The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(...

    Text Solution

    |

  4. Product of perpendiculars from the foci of x^(2)/4-y^(2)/9=1" to "y=mx...

    Text Solution

    |

  5. If m1, m2, are slopes of the tangens to the hyperbola x^(2)//25-y^(2)/...

    Text Solution

    |

  6. Number of points from where perpendicular tangents can be drawn to the...

    Text Solution

    |

  7. The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

    Text Solution

    |

  8. Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(...

    Text Solution

    |

  9. Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at t...

    Text Solution

    |

  10. If S and T are foci of x^(2)/(16)-y^(2)/(9)=1. If P is a point on the...

    Text Solution

    |

  11. Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentri...

    Text Solution

    |

  12. Equation of normal to 9x^(2)-25y^(2)=225 at theta=pi//4 is

    Text Solution

    |

  13. The equation to the pair of asymptotes of the hyperbola x^(2)/9-y^(2)/...

    Text Solution

    |

  14. The angle between the asymptotes of the hyperbola x^(2)-y^(2)=2 is

    Text Solution

    |

  15. The angle between the asymptotes of the hyperbola xy= a^2 is

    Text Solution

    |

  16. The eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2 ...

    Text Solution

    |

  17. The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//...

    Text Solution

    |

  18. Angle between the asymptotes of a hyperbola is 30^(@) then e=

    Text Solution

    |

  19. Angle between the asymptotes of a hyperbola is x^(2)-3y^(2)=1 is

    Text Solution

    |

  20. The product of lengths of perpendicular from any point on the hyperola...

    Text Solution

    |