`5x-6x+30=0,5x+4y-20=0`

5x-6y+30=0,5x+4y-20=0

Four lines x+3y-10=0, x+3y-20=0, 3x-y + 5 = 0 and 3x - y - 5 = 0 form a figure which is.

6x-3y=-10,3x+5y-8=0

3x-4y=-7,5x-2y=0

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

The circles x^2+y^2 +2x +4y-20=0 and x^2 +y^2 + 6x-8y + 10 = 0 a) are such that the number of common tangents on them is 2 b) are orthogonal c) are such that the length of their common tangents is 5(12/5)^(1/4) d) are such that the length of their common chord is 5sqrt3/2

Show that the lines 4x+y-9=0,x-2y+3=0,5x-y-6=0 make equal intercepts on any line of slope 2.

Solve the following system of linear equations by matrix inversion method. x+y+z-=2 = 0, 6x-4y+5z-31=0,5x+2y+2z=13.