37.4x + 6y = 3hu, 8x + 9y = 5xy (x + 0, + 0).

4 x + 6y = 3 xy , 8x + 9 y = 5xy ( x ne 0 , y ne 0 )

Solve for x and y : 6x + 3y = 7xy, 3x + 9y = 11 xy (x ne 0 , y ne 0 )

If 4x + 6y = 3 xy and 8x + 9y = 5xy then

5x - 4y + 8 = 0 7x + 6y - 9= 0

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (51/5, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (17/16, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)

Find the equation of the radical axis of the following circles. x^2 + y^2 + 4x + 6y -7 = 0. 4(x^2 + y^2) + 8x + 12y - 9 = 0.

Maximize X = 8x + 9y Subject to 2x + 3y le 6 3x - 2y le 6 y le 1 x, y ge 0

Find the equation of the circle which intersects each of the following circles orthogonlly x^2 + y^2 + 4x + 2y + 1 = 0 . 2(x^2 + y^2) + 8x + 6y - 3 = 0, x^2 + y^2 + 6x -2y - 3 =0.

Minimize z = 6 x + 2y , subject to 5 x + 9y le 90, x + y ge 4, y le 8, x ge 0, y ge 0 .