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 asymptotes of the hyperbola xy–3x–2y=0 are

The asymptotes of a hyperbola having centre at the point (1, 2) are parallel to the lines 2x + 3y = 0 " and " 3x + 2y = 0 . If the hyperbola passes through the point (5, 3) show that its equation is (2x + 3y - 8) (3x + 2y + 7) = 154 .

The asymptotes of a hyperbola are 3x-y-7=0 and x-5y-3=0. The hyperbola passes through the point (2,1) . Find the equation of the hyperbola and its centre.

The asymptotes of a hyperbola 7x+5y-12=0,2x+3y-5=0. Its centre is

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

The equation of the asymptotes of a hyperbola are 4x+3y+2=0 and 3x-4y+1=0 then equations of axes arex

For a hyperbola whose centre is (1,2) and the asymptotes are parallel to the line x+y=0 and x+2y=1, the equation of the hyperbola passing through (3,5) is

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

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 these

A circle is drawn with its centre on the line x+y=2 to touch the line 4x-3y+4=0 and pass throughthe point (0,1). Find its equation.