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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

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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

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-5)=40 (c) (2x+3y-8)(x+2y-5)=30 (d) none of these

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-5)=40 (c) (2x+3y-8)(x+2y-5)=30 (d) none of these

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

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

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

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

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

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 .

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 x^2-y^2-5/2x y+5=0 2x^2-2y^2+5x y+5=0 2x^2+2y^2+5x y+10=0 none of these