Home
Class 11
MATHS
Find the eccentricity of the hyperbola w...

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

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

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

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

Find the eccentricity of the hyperbola whose equation is 2x ^(2) - 3y ^(2) = 15.

The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

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.

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.

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

If the eccentricity of the hyperbola conjugate to the hyperbola (x^2)/(4)-(y^2)/(12)=1 is e, then 3e^2 is equal to:

Find the equation of the hyperbola, whose asymptotes are the straight lines (x + 2y + 3) = 0, (3x + 4y + 5) = 0 and which passes through the point (1-1).

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

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. An ellipse passing through the origin has its foci (3, 4) and (6, 8). ...

    Text Solution

    |

  2. The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 ...

    Text Solution

    |

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

    Text Solution

    |

  4. An ellipse having foci at (3, 3) and (-4,4) and passing through the or...

    Text Solution

    |

  5. If Sa n dS ' are the foci, C is the center, and P is a point on a r...

    Text Solution

    |

  6. Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is...

    Text Solution

    |

  7. If P N is the perpendicular from a point on a rectangular hyperbola x ...

    Text Solution

    |

  8. A line of fixed length a+b moves so that its ends are always on two fi...

    Text Solution

    |

  9. The equation of the transvers and conjugate axes of a hyperbola are, ...

    Text Solution

    |

  10. Show that the acute angle between the asymptotes of the hyperbola (x^2...

    Text Solution

    |

  11. With a given point and line as focus and directrix, a series of ell...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |