Home
Class 11
MATHS
Find the angle between the asymptotes of...

Find the angle between the asymptotes of the hyperbola `(x^2)/(16)-(y^2)/9=1` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The angle between the asymptotes of the hyperbola xy= a^2 is

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

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

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

The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9 , is

Show that the acute angle between the asymptotes of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a^2> b^2), is 2cos^(-1)(1/e), where e is the eccentricity of the hyperbola.

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

Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 is

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) x^2+y^2=6 (b) x^2+y^2=9 (c) x^2+y^2=3 (d) x^2+y^2=18

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  2. Find the equation of the locus of the middle points of the chords of ...

    Text Solution

    |

  3. Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2...

    Text Solution

    |

  4. Match the following: List - I, List - II Let y(x)=cos(3cos^(-1)x) ...

    Text Solution

    |

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

    Text Solution

    |

  6. Let E1 and E2 be two ellipse whose centers are at the origin. The maj...

    Text Solution

    |

  7. A triangle has its vertices on a rectangular hyperbola. Prove that the...

    Text Solution

    |

  8. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  9. Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+9y^2+...

    Text Solution

    |

  10. A tangent is drawn to the ellipse to cut the ellipse x^2/a^2+y^2/b^2=1...

    Text Solution

    |

  11. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

    Text Solution

    |

  12. Ois the origin & also the centre of two concentric circles having radi...

    Text Solution

    |

  13. If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)...

    Text Solution

    |

  14. The tangent at a point P on an ellipse intersects the major axis at T ...

    Text Solution

    |

  15. If (asectheta, btantheta) and (asecphi, btanphi) be two coordinate of ...

    Text Solution

    |

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

    Text Solution

    |

  17. If a triangle is inscribed in an ellipse and two of its sides are pa...

    Text Solution

    |

  18. Normal are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at point t...

    Text Solution

    |

  19. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  20. Find the product of the length of perpendiculars drawn from any point ...

    Text Solution

    |