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

  • HYPERBOLA

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|2 Videos
  • HYPERBOLA

    MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos
  • HYPERBOLA

    MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos
  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise RCQs Recent Competitive Questions (Questions From Karnataka CET & COMED)|12 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

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

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 :

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 :

MODERN PUBLICATION-HYPERBOLA -Multiple Choice Questions - LEVEL - II
  1. The point of intersection of the curves whose parametric equations are...

    Text Solution

    |

  2. The equation of the tangent to the hyperbola 2x^2-3y^2=6 , which is pa...

    Text Solution

    |

  3. If the normal at P to the rectangular hyperbola x^2-y^2=4 touches the ...

    Text Solution

    |

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

    Text Solution

    |

  5. The equations to the common tangents to the two hyperbolas (x^(2))/(a^...

    Text Solution

    |

  6. If the chords of contact of tangents from two points (x1,y1) and (x2,y...

    Text Solution

    |

  7. If x^2/a^2+y^2/b^2=1(a gt b) and x^2-y^2=c^2 cut at right angles , the...

    Text Solution

    |

  8. The angle between the asymptotes of x^2/a^2-y^2/b^2=1 is equal to :

    Text Solution

    |

  9. If P is a point on the rectangular hyperbola x^2-y^2=a^2,C being the c...

    Text Solution

    |

  10. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

    Text Solution

    |

  11. The equation of a tangent to the hyperbola 16x^2-25y^2-96x+100y-356=0,...

    Text Solution

    |

  12. The point of intersection of two tangents to the hyperbola x^2/a^2-y^2...

    Text Solution

    |

  13. PM is perpendicular from a point on a rectangular hyperbola to its asy...

    Text Solution

    |

  14. Product of lengths of perpendiculars drawn from the foci on any tangen...

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

    Text Solution

    |

  17. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  18. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |

  19. Consider a branch of the hyperbola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with v...

    Text Solution

    |

  20. The locus of the orthocenter of the triangle formed by the lines (1+p)...

    Text Solution

    |