Home
Class 12
MATHS
The value of ' m ' for which y=mx+6 is a...

The value of ' m ' for which `y=mx+6` is a tangent to the hyperbola `x^2/100-y^2/49 =1 ` is :

A

`sqrt((17)/(20))`

B

`sqrt((20)/(17))`

C

`sqrt((3)/(20))`

D

`sqrt((20)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos
  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

The value of m for which the line y=m x+2 becomes a tangent to the hyperbola 4 x^(2)-9 y^(2)=36 is

The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

Tangent to hyperbola 4 x^(2)-5 y^(2)=16 at (3,-2) is

If the values of m for which the line y= mx +2sqrt5 touches the hyperbola 16x^2 — 9y^2 =144 are the roots of the equation x^2 -(a +b)x-4 = 0 , then the value of a+b is

The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

The value of K so that y=4x+K may touch the hyperbola (x^(2))/(64)-(y^(2))/(49)=1 is

The value of K so that y = 4x+ K may touch the hyperboal (x^(2))/(64)-(y^(2))/(49)=1 is

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

If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

Product of lengths of perpendiculars drawn from the foci on any tangent to the hyperbola x^2/a^2-y^2/b^2=1 is :

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The eccentricity of the rectangular hyperbola is

    Text Solution

    |

  2. The equation of the tangent to the curve: x^2-y^2-8x+2y+11=0 at (2,1)...

    Text Solution

    |

  3. The value of ' m ' for which y=mx+6 is a tangent to the hyperbola x^2/...

    Text Solution

    |

  4. The equation of the tangent to the hyperbola 4 y^(2)=x^(2)-1 at the po...

    Text Solution

    |

  5. If e and e^(prime) are eccentricities of a hyperbola its conjugate, th...

    Text Solution

    |

  6. The value of K so that y=4x+K may touch the hyperbola (x^(2))/(64)-(y^...

    Text Solution

    |

  7. The eccentricity of the hyperbola 36 x^(2)-25 y^(2)=900 is

    Text Solution

    |

  8. If P is any point on the hyperbola ((x-1)^(2))/(9)-((y+1)^(2))/(16)=1 ...

    Text Solution

    |

  9. The point of intersection of two perpendicular tangents to (x^(2))/(a^...

    Text Solution

    |

  10. The line p=x cos alpha+y sin alpha becomes tangent to (x^(2))/(a^(2))-...

    Text Solution

    |

  11. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 is

    Text Solution

    |

  12. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  13. The length of transverse axis of the hyperbola 3x^(2) - 4y^(2) = 32 is

    Text Solution

    |

  14. Which of the statements in the following is false in respect of the co...

    Text Solution

    |

  15. The locus of a point which moves such that the difference of its dista...

    Text Solution

    |

  16. Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

    Text Solution

    |

  17. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  18. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  19. If (x^(2))/(36) - (y^(2))/(k^(2)) = 1 is a hyperbola, then which of th...

    Text Solution

    |

  20. The distance between the foci of the hyperbola x=8 sec theta, y=6 tan ...

    Text Solution

    |