Home
Class 11
MATHS
Find the equation of the hyperbola which...

Find the equation of the hyperbola which has `3x-4y+7=0` and `4x+3y+1=0` as its asymptotes and which passes through the origin.

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 equation of hyperbola whose asymtotes are the straight lines 3x-4y+7=0" and "4x+3y+1=0 and which passes through the origin is

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2

The equation of the hyperbola whose asymptotes are 3x+4y-2=0, 2x+y+1=0 and which passes through the point (1, 1) is

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2.

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2 .

Find the equation of a hyperbola whose asymptotes are 2x - y- 3 = 0 and 3x + y - 7 = 0 and which pass through (1, 1).

The equation of the hyperbola is xy-4x+3y=0 and its asymptotes are xy-4x+3y=k then k= a) 3 b) -6 c)-12 d)12

The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and 3x + 4y - 7 = 0 , then

For the curve y=4x^3-2x^5 find all points at which the tangent passes through the origin.

Find the equation of the circle which passes through the points (1,-2) and (4,-3) and which has its centre on the straight line 3x+4y=5.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. With a given point and line as focus and directrix, a series of ell...

    Text Solution

    |

  2. If the vertex of a hyperbola bisects the distance between its center ...

    Text Solution

    |

  3. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

    Text Solution

    |

  4. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

    Text Solution

    |

  5. The equation 16 x^2-3y^2-32 x+12 y-44=0 represents a hyperbola. (a)the...

    Text Solution

    |

  6. If the base of a triangle and the ratio of tangent of half of base ang...

    Text Solution

    |

  7. S1, S2, are foci of an ellipse of major axis of length 10 units and P ...

    Text Solution

    |

  8. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

    Text Solution

    |

  9. Find the equation of the common tangent in the first quadrant of the c...

    Text Solution

    |

  10. If the normal at P(theta) on the hyperbola (x^2)/(a^2)-(y^2)/(2a^2)=1 ...

    Text Solution

    |

  11. The eccentricity of the hyperbola whose length of the latus rectum is ...

    Text Solution

    |

  12. Prove that in an ellipse, the perpendicular from a focus upon any tang...

    Text Solution

    |

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

    Text Solution

    |

  14. With one focus of the hyperbola x^2/9-y^2/16=1 as the centre, a circle...

    Text Solution

    |

  15. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

    Text Solution

    |

  16. Two circles are given such that they neither intersect nor touch. Then...

    Text Solution

    |

  17. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

    Text Solution

    |

  18. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  19. If A ,B ,a n dC are three points on the hyperbola x y=c^2 such that A ...

    Text Solution

    |

  20. Statement 1 : If (3, 4) is a point on a hyperbola having foci (3, 0...

    Text Solution

    |