The asymptotes of the hyperbola `x y=h x+k y` are (a)`x-k=0` and `y-h=0` (b)`x+h=0` and `y+k=0` (c)`x-k=0` and `y+h=0` (d)`x+k=0` and `y-h=0`

Find the asymptotes of the curve x y-3y-2x=0 .

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+8y^2+14 x+22 y+7=0

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+9y^2+14 x+22 y+7=0

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a) x=0 (b) x=y (c) y=0 (d) x+y=0

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^2+4x+5y=0 is a. 2x^2+5x y+2y^2+4x+5y+2=0 b. 2x^2+5x y+2y^2+4x+5y-2=0 c. 2x^2+5x y+2y^2=0 d.none of these

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