[((11)-3x+3y+12=0)/(18x+6y+24=0)],[18x+6y+24=0]

9x+3y+12=0,18x+6y+24=0

Solve 9x+3y+12=0 18x+6y+24=0

18x^2y-24xyz

By comparing the ratios aunderset1 / aunderset2 , bunderset1 /bunderset2 , cunderset1 /cunderset2 , state whether the lines represented by the following pairs of linear equations intersect at a poit, are parllel or are coincident. (b) 9x + 3y +12 = 0 18x + 6y + 24 = 0

On comparing the ratios (a_(1))/(a_(2)),(b_(1))/(b_(2)) and (c_(1))/(c_(2)), and without drawing them,find out whether the lines representing the following pairs of the equations intersect at a point,are parallel or coincide: 8=0;quad 7x+6y-9=0 (ii) 9x+3y+12=0;quad 18x+6y+24=0 (iii) 6x-3y+10=0;quad 2x-y+9=0

(i) Z = 20x + 10y x + 2y le 28, 3x + y le 24, x ge 2, x, y ge 0 (ii) Z = 7x + 10y 4x + 6y le 240, 6x + 3y le 240, x ge 10, x ge 0, y ge 0 (iii) Z = 22x + 44y subject to the constraints: x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

On comparing the ratios (a_(1))/(a_(2)), (b_(1))/(b_(2)) and (c_(1))/(c_(2)) , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: 9x+ 3y+ 12= 0 18x+ 6y + 24=0

Solve : 12 x+ 15y + 18=0 18x - 7y + 86 =0

On comparing the rations a_1/a_2,b_1/b_2 and c_1/c_2 ,find out whether the lins representing the following pairs of linear equations intersect at a point,are parallel or coincide:(ii)9x+3y+12=0 ; 18x+6y+24=0

Discuss the relative position of the fol- lowing pair of circles. x^(2)+y^(2) - 4x - 6y - 12 = 0 x^(2) + y^(2) + 6 x+ 18 y + 26 = 0 .