[" 1.If "2times/3-y/2+1/6=0" and "x/2],[+2y/3=3" then "]

If ( 2x )/(3) - ( y )/(2) + (1)/(6)= 0 and (x)/(2) + ( 2y )/(3) = 3 then

Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

Evaluate : 1/2 x^2y^2 times ( -1/4x^3y^3 ) times ( x^3y^3) times x^2y^2

Evaluate : 1/2 x^2y^2 times ( -1/4x^3y^3 ) times ( x^3y^3) times x^2y^2

If (2x + y + 2)/(5) = ( 3x - y + 1)/( 3 ) = ( 2 x + 2y + 1 )/(6) then

Prove that 2x + 3y - 6 =0 and 3x - 2y - 1 = 0 are perpendicular

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

Classify the following pairs of lines as coincident,parallel or intersecting: x+2y-3=0 and -3x-6y+9=0x+2y+1=0 and 2x-4y+3=03x-2y+5=0 and 2x+y-9=0