Home
Class 11
MATHS
If lx+my+n=0 is a tangent to the rectang...

If `lx+my+n=0` is a tangent to the rectangular hyperbola `xy=c^(2)`, then

A

` l lt m lt 0`

B

`l gt 0`, `m lt 0`

C

`l lt 0`, `m gt 0`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos

Similar Questions

Explore conceptually related problems

If lx + my + n = 0 is tangent to the parabola x^(2)=y , them

The condition that a straight line with slope m will be normal to parabola y^(2)=4ax as well as a tangent to rectangular hyperbola x^(2)-y^(2)=a^(2) is

At the point of intersection of the rectangular hyperbola xy=c^2 and the parabola y^2=4ax tangents to the rectangular hyperbola and the parabola make angles theta and phi , respectively with x-axis, then

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , then find the condition.

If the normal to the rectangular hyperbola xy = c^2 at the point 't' meets the curve again at t_1 then t^3t_1, has the value equal to

If abscissa of orthocentre of a triangle inscribed in a rectangular hyperbola xy=4 is (1)/(2) , then the ordinate of orthocentre of triangle is

The coordinates of a point on the rectangular hyperbola xy=c^2 normal at which passes through the centre of the hyperbola are

The locus of the mid - points of the parallel chords with slope m of the rectangular hyperbola xy=c^(2) is

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

    Text Solution

    |

  2. If the chords of contact of tangents drawn from P to the hyperbola x^(...

    Text Solution

    |

  3. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  4. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

    Text Solution

    |

  5. Locus of P such that the chord of contact of P with respect to y^2=4ax...

    Text Solution

    |

  6. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  7. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

    Text Solution

    |

  8. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  9. The product of lengths of perpendicular from any point on the hyperbol...

    Text Solution

    |

  10. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

    Text Solution

    |

  11. Find the area of the triangle formed by any tangent to the hyperbola (...

    Text Solution

    |

  12. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

    Text Solution

    |

  13. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  14. The straight line x+y=sqrt(2)p will touch the hyperbola 4x^(2)-9y^(2)=...

    Text Solution

    |

  15. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  16. .Find the product of lengths of the perpendiculars from any point on t...

    Text Solution

    |

  17. The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24, i...

    Text Solution

    |

  18. The equation of the chord of contact of tangents from (1,2) to the hyp...

    Text Solution

    |

  19. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

  20. The length of the semi-transverse axis of the rectangular hyperbola xy...

    Text Solution

    |