Home
Class 12
MATHS
The values of 'm' for which a line with ...

The values of 'm' for which a line with slope m is common tangent to the hyperbola `x^2/a^2-y^2/b^2=1` and parabola `y^2 = 4ax` can lie in interval:

A

`m in (0 , infty)`

B

`m in (- infty , -1) cup (1 , infty) - {pm sqrt((1+sqrt5)/2)}`

C

`m in (-infty, 2) - sqrt((1+sqrt5)/2) `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - II|20 Videos

  • HYPERBOLA

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • HYPERBOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( SUBJECTIVE) Level - II|11 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise EXERCISE-8|1 Videos

Similar Questions

Explore conceptually related problems

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

Find the equations of common tangents to the hyperbola 3x^(2)-4y^(2)=12 and the parabola y^(2)=4x

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

Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the parabola y^(2) = 4ax are

Find the value of m for which y=mx+6 is tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1

Find the value of m for which y=mx+6 is a tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
  1. A tangent to the hyperbola x^(2)/4 - y^(2)/1 = 1 meets ellipse x^(2) +...

    Text Solution

    |

  2. A variable chord PQ, x cos theta + y sin theta = P of the hyperbola x...

    Text Solution

    |

  3. If a line intersect a hyperbola at (-2, -6) " and " (4, 2) and one of ...

    Text Solution

    |

  4. Equation of one of the latusrectum of the hyperbola (10x - 5)^2 + (10y...

    Text Solution

    |

  5. If P N is the perpendicular from a point on a rectangular hyperbola x ...

    Text Solution

    |

  6. If the equation 4x^(2) + ky^(2) = 18 represents a rectangular hyperbol...

    Text Solution

    |

  7. The distance between foci of a hyperbola is 16 and its eccentricity is...

    Text Solution

    |

  8. The point of intersection of tangents at 't'(1) " and " 't'(2) to the...

    Text Solution

    |

  9. The locus of the point of intersection of tangents drawn at the extrem...

    Text Solution

    |

  10. A hyperbola has centre 'C" and one focus at P(6,8). If its two directr...

    Text Solution

    |

  11. The locus of the point of intersection of tangents at the extremities ...

    Text Solution

    |

  12. The combined equation of the asymptotes of the hyperbola 2x^2 + 5xy + ...

    Text Solution

    |

  13. The equation of the common tangent to the curve y^(2) = 8x " and " xy ...

    Text Solution

    |

  14. Let S(1) " and " S(2) be the foci of a rectangular hyperbola, which ha...

    Text Solution

    |

  15. The values of 'm' for which a line with slope m is common tangent to t...

    Text Solution

    |

  16. The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x...

    Text Solution

    |

  17. Minimum length of a normal chord to the hyperbola xy = c^(2) lying bet...

    Text Solution

    |

  18. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  19. Statement -1 : The lines y = pm b/a xx are known as the asymptotes ...

    Text Solution

    |

  20. Consider the curve C satisfying 2xydy = (x^(2) + y^(2) + 1) dx Stat...

    Text Solution

    |