Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201724 Apr 2017Morning ShiftMathematicsHyperbolaActual

The asymptotes of a hyperbola are parallel to 2 x+3 y=0 and 3 x+2 y=0 . The equation of that hyperbola whose centre is at (1,2) and passing through (5,3) is

Options

  1. A(2 x+3 y-8)(3 x+2 y-7)-154=0
  2. B(2 x-3 y-8)(3 x-2 y-7)-154=0
  3. C(3 x+2 y-8)(2 x+3 y-7)-154=0
  4. D(3 x-2 y+8)(2 x+3 y-7)-154=0

Correct answer

A. (2 x+3 y-8)(3 x+2 y-7)-154=0

Step-by-step solution

No solution. Refer to answer key.

Practice Hyperbola on Quantrex Academy →

More from Hyperbola

The difference between the distance of any point on the hyperbola from the two foci is 16 and the eccentricity is 2 . Then the equation of the hyperbola is 2026In the figure Statement-I: When > 0 , the section is hyperbola Statement-II: When > 90^ , the section is ellipse Which of the following is correct? 2026If the line y = 2x + is a tangent to the hyperbola 36x^2 - 25y^2 = 3600 , then = 2026If the line 4x + 3y = 7 touches the hyperbola x^2 - y^2 = 7 , then the sum of the co-ordinates of the point of contact is... 2026If the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 =1 passing through the point (4,6) is 2, then the equation of the tangent to this hyperbola at (4,6) is 2025A hyperbola passes through the point P ( 2 , 3 ) and has foci at ( 2,0) . Then the point that lies on the tangent drawn to this hyperbola at P is 2025If is the angle subtended by a latus rectum at the centre of the hyperbola having eccentricity 2 7 - 3 , then = 2025The tangent drawn at an extremity (in the first quadrant) of latus rectum of the hyperbola x^2 4 - y^2 5 =1 meets the x -axis and y -axis at A and B respectively. If O is the origi 2025 Full Hyperbola list All AP EAMCET PYQs