x+2y<=3,3x+4y>=12,x>=0,y>=1

Show that the solution set of the following linear inequations is empty set: x+2y,quad =12,y>=1,x>=0,y>=0

Solve the following systems of inequation graphically: 5x+y>=10,2x+2y>=12,x+4y>=12,x>=0,y>=0

(3) x+2y=-1;2x-3y=12

Draw the graph of the following equation and determine the vertices of the triangle. x-y+1=0, 3x+2y-12=0, y=0

x+2y=-1,2x-3y=12

Solve systems of equations graphically : 3x+2y=12 x-y+1=0

Using the method of integration, find the area of the region bounded by the following lines 3x -y-3=0, 2x+y-12=0, x-2y-1=0 .

(a) Using integration, find the area of the region bounded by the triangle whose sides are : (i) 3x-y-3=0, 2x+y-12=0, x-2y-1=0.

Using the method of integration,find the area of the region bounded by the following lines 3x-y-3=0,2x+y-12=0,x-2y-1=0

Prove that the centres of the circles x^2+y^2=1 , x^2+y^2+6x-2y-1=0 and x^2+y^2-12x+4y=1 are collinear