Home
Class 12
MATHS
For hyperbola whose center is at (1, 2) ...

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines `2x+3y=0` and `x+2y=1` , the equation of the hyperbola passing through (2, 4) is `(2x+3y-5)(x+2y-8)=40` `(2x+3y-8)(x+2y-8)=40` `(2x+3y-8)(x+2y-5)=30` none of these

A

`(2x + 3y-5) (x + 2y-8) =40`

B

`(2x + 3y-8) (x + 2y -5) =40`

C

`(2x + 3y -8) (x + 2y-5) =30`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines 2x+3y=0 and x+2y=1 , the equation of the hyperbola passing through (2, 4) is (a) (2x+3y-5)(x+2y-8)=40 (b) (2x+3y-8)(x+2y-8)=40 (c) (2x+3y-8)(x+2y-5)=30 (d) none of these

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 point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2)+2x+3y=0 is

The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=0 . The hyperbola has its centre at (1, 2) and it passes through (5, 3). Find its equation.

The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y -39 =0 are

If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

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

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

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