Question

The angle between the lines x+2y=5 and 2x-y+7=0 is

Answer 1

Answer:

x+ 2y = -7

y = -x/2 -7/2

y = mx +c

m1 = -1/2

2x - y +7=0

y = 2x + 7

y = mx + c

m2 = 2

tan theta = (m1-m2)/(1 + m1m2)

= (-1/2-2)/(1-1/2×2)

= (-5/2)/0

= infinity

so, theta = 90°