Home
Class 11
MATHS
Find the equations to the common tangent...

Find the equations to the common tangents to the two hyperbolas `(x^2)/(a^2)-(y^2)/(b^2)=1` and `(y^2)/(a^2)-(x^2)/(b^2)=1`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation o of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

Find the equation of the common tangents to y^2 - 8ax and x^2 + y^2 = 2a^2

The equations of the common tangents to the parabola y = x^2 and y=-(x-2)^2 is/are :

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

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

Find the equation of the common tangent to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x .

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

Find the equations of the tangents to the hyperbola x^2-9y^2=9 that are drawn from (3, 2).

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

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let a and b be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  2. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  3. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  4. Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |

  5. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  6. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

    Text Solution

    |

  7. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

    Text Solution

    |

  8. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

    Text Solution

    |

  9. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  10. The equation of the ellipse whose axes are coincident with the coor...

    Text Solution

    |

  11. Tangent are drawn to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 parallel ...

    Text Solution

    |

  12. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

    Text Solution

    |

  13. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

    Text Solution

    |

  14. Let p be the perpendicular distance from the centre C of the hyperbola...

    Text Solution

    |

  15. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

    Text Solution

    |

  16. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

    Text Solution

    |

  17. Let any double ordinate PNP' of the hyperbola (x^(2))/(25)-(y^(2))/(16...

    Text Solution

    |

  18. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

    Text Solution

    |

  19. If from a point P(0,alpha) , two normals other than the axes are drawn...

    Text Solution

    |

  20. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |