Home
Class 12
MATHS
The condition that the line x=my+c may b...

The condition that the line x=my+c may be a tangent of `x^(2)/a^(2)-y^(2)/b^(2)=-1` is

A

`c^(2)=a^(2)m^(2)-b^(2)`

B

`c^(2)=a^(2)-b^(2)m^2`

C

`c^(2)=b^(2)-a^(2)m^(2)`

D

`c^(2)=b^(2)m^(2)-a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))-x^(2)/b^(2)=1 is

The condition that the line y = mx+c may be a tangent to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 is

The condition that the line x/p+y/q=1 to be a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 is

Find the condition for the line lx+my+n=0 to be a tangent to the ellipse x^2/a^2+y^2/b^2=1

A : The condition that the line x/p+y/q=1 to be a tangent to the parabola y^(2)=4ax is ap+ q^(2) =0. R: The condition that the line lx+my+n=0 may touch the parabola y^(2)=4ax is am^(2) = In

The condition that the line y=mx+c to be a tangent to the parabola y^(2)=4a(x+a) is

Statement-I : The condition for the line y = mx+c to be a tangent to (x+a)^(2) = 4ay is c = am(1-m). Statement-II : The condition for tbe line y = mx + c to be a focal chord to y^(2) = 4ax is c+am=0 Statement-III : The condition for the line y = mx + c to be a tangent x^(2)=4ay is c = - am^(2) Which of above stattements is true

The condition that the line x cos alpha + y sin alpha =p to be a tangent to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 is

The locus a point P ( alpha , beta) moving under the condition that the line y= alpha x+ beta is a tangent to the hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2))= 1 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

    |