[13.quad x+y=7],[5y+12x=7]

Solve the following system of equations by using the method of cross-multiplication: x+y=7,\ \ \ \ 5x+12 y=7

The minimum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombus is

The maximum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombous is

The minimum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombus is

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : (i) 6x+14y-16=0 , 12x+28y-32=0 (ii) 3x-4y=8 , 3x+4y=11 (iii) 5x-2y=7 , 2y-5x=-7 (iv) 4x+7y=19 , 7x-4y=-2 (v) x-2y=7 , 4y-2x=13

Find the distance between the parallel lines 12x+5y=7 and 12x+5y+7=0

The equations of the lines passing through (4, 5) and making equal angles with the lines 3x=4y+7, 5y=12x+6 are