Home
Class 11
MATHS
The center of a rectangular hyperbola li...

The center of a rectangular hyperbola lies on the line `y=2xdot` If one of the asymptotes is `x+y+c=0` , then the other asymptote is `6x+3y-4c=0` (b) `3x+6y-5c=0` `3x-6y-c=0` (d) none of these

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 line 2x + y = 0 passes through the centre of a rectangular hyperbola, one of whose asymptotes is x - y = 1. The equation of the other asymptotes is

The equation of the line passing through the centre of a rectangular hyperbola is x-y-1=0 . If one of its asymptotoes is 3x-4y-6=0 , the equation of the other asymptote is

The line x+y+1=0 is an asymptote of x^(2)-y^(2)+x-y-2=0 . The other asymptote is

If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2x , then the equation of the hyperbola, given that it passes through (3, 4), is (a) x^2-y^2-5/2x y+5=0 (b) 2x^2-2y^2+5x y+5=0 (c) 2x^2+2y^2-5x y+10=0 (d) none of these

Find the asymptotes of the curve x y-3y-2x=0 .

The image of plane 2x-y+z=2 in the plane mirror x+2y-z=3 is (a) x+7y-4x+5=0 (b) 3x+4y-5z+9=0 (c) 7x-y+2z-9=0 (d) None of these

The equation of one asymptote of the hyperbola 14x^(2)+38xy+20y^(2)+x-7y-91=0" is "7x+5y-3=0 . Then the other asymptote is

The equation of a hyperbola whose asymptotes are 3x +- 5y =0 and vertices are (+-5,0) is

The equation of a rectangular hyperbola whose asymptotes are x=3 and y=5 and passing through (7,8) is (a) x y-3y+5x+3=0 (b) x y+3y+4x+3=0 (c) x y-3y+5x-3=0 (d) x y-3y+5x+3=0

The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0 , is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

    Text Solution

    |

  2. The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a d...

    Text Solution

    |

  3. The center of a rectangular hyperbola lies on the line y=2xdot If one...

    Text Solution

    |

  4. (x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C,...

    Text Solution

    |

  5. The eccentricity of the locus of point (2h+2,k), where (h , k) lies on...

    Text Solution

    |

  6. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

    Text Solution

    |

  7. The auxiliary circle of a family of ellipses passes through the ori...

    Text Solution

    |

  8. Four points are such that the line joining any two points is perpendic...

    Text Solution

    |

  9. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  10. If tangents OQ and OR are dawn to variable circles having radius r and...

    Text Solution

    |

  11. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

    Text Solution

    |

  12. The equation, 2x^2+ 3y^2-8x-18y+35= K represents

    Text Solution

    |

  13. If the curves (x^2)/4+y^2=1 and (x^2)/(a^2)+y^2=1 for a suitable val...

    Text Solution

    |

  14. If the normal at P to the rectangular hyperbola x^2-y^2=4 meets the ax...

    Text Solution

    |

  15. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  16. Each of the four inequalities given below defines a region in the xy p...

    Text Solution

    |

  17. The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 ...

    Text Solution

    |

  18. From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y...

    Text Solution

    |

  19. If the two intersecting lines intersect the hyperbola and neither of ...

    Text Solution

    |

  20. For the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , let n be the number of p...

    Text Solution

    |