Home
Class 12
MATHS
Find the equation of a hyperbola whose a...

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

Text Solution

AI Generated Solution

To find the equation of the hyperbola whose asymptotes are given by the equations \(2x - y - 3 = 0\) and \(3x + y - 7 = 0\) and which passes through the point \((1, 1)\), we can follow these steps: ### Step 1: Identify the asymptotes The equations of the asymptotes are: 1. \(2x - y - 3 = 0\) 2. \(3x + y - 7 = 0\) ### Step 2: Rearranging the asymptote equations ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try ypurself|42 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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 .

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

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION - J ( Aakash Challengers Questions )
  1. Find the equation of a hyperbola whose asymptotes are 2x - y- 3 = 0 an...

    Text Solution

    |

  2. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  3. The area of the triangle formed by the tangent at (3, 4) to the circle...

    Text Solution

    |

  4. If P(1), P(2), P(3) are the perimeters of the three circles, S(1) :...

    Text Solution

    |

  5. If (1, a), (b, 2) are conjugate points with repect to the circle x^(2)...

    Text Solution

    |

  6. Area of the equilateral triangle inscribed in the circle x^(2) + y^(2)...

    Text Solution

    |

  7. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

    Text Solution

    |

  8. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  9. A planet of mass m moves along an ellipse around the sun (mass M) so t...

    Text Solution

    |

  10. There are exactly two points on the ellipse x^2/a^2+y^2/b^2=1,whose di...

    Text Solution

    |

  11. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

    Text Solution

    |

  12. A point P moves such that the sum of the slopes of the normals drawn f...

    Text Solution

    |

  13. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  14. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

    Text Solution

    |

  15. Tangents are drawn from the points on a tangent of the hyperbola x^2-y...

    Text Solution

    |

  16. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  17. Let F(x) = (1+b^(2))x^(2) + 2bx + 1. The minimum value of F(x) is the ...

    Text Solution

    |