Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting :
`6x+14y-16 =0, 12x + 28y - 32 =0`.

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : x-2y=7,4y-2x=13 .

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : 3x- 4y = 8, 3x + 4y = 11 .

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : 4x+7y = 19, 7x-4y=-2 .

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : 5x - 2y = 7, 2y -5x=-7 .

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 point, are parallel or coincident : 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) find out whether the lines representing the following pairs of linear equations intersect at point, are parallel or coincident : 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) find out whether the lines representing the following pairs of linear equations intersect at point, are parallel or coincident : 5x-4y+8=0 7x+6y-9=0 .

Prove that the bisectors of the angles formed by pairs of lines are perpendicular to each other : 3x+4y+13=0 = and 12x- 5y + 32=0.

On comparing the ratios (a_1)/(a_2), (b_1)/(b_2), (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. Also, find out whether the following pair of linear equations are consistent or inconsistent : 6x-21y+12=0 10x-35y+20 = 0 .

Prove that the bisectors of the angles formed by pairs of lines are perpendicular to each other : x+2y+3 =0 and 2x+y-2=0.