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

Assertion (A) :Pair of linear equations 9x+3y+12=0 and 18x+6y+24=0 have infinitely many solutions Reason (R ) : Pair of linear equations a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 have infinitely many solutions if (a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))

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 coincide. 9x+3y+12=0 ; 9x+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 linear equations intersect at a point, are parallel or coincide: (i) 5x-4y+8=0;\ \ \ \ 7x+6y-9=0 (ii) 9x+3y+12=0;\ \ \ 18 x+6y+24=0 (iii) 6x-3y+10=0;\ \ \ 2x-y+9=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

Solve graphically 3x + 2y = 4, 9x + 6y-12 = 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)