Question

31. Find the tangent of the angle between the lines 2x+3y-8 = 0 and 5x-y+7 +0.
Department of Pre-university Education
41​

Answer 1

Answer:

2x+3y-8=0 find

slope of this line

3y=-2x+8

y=(-2/3)x + 8/3

slope m1 = -2/3

Similarly slope of other line = m2 = 5

If theta is the angle between two lines then

tan theta = (m1-m2)/(1+m1.m2) or

= -(m1-m2)/(1+m1.m2)

=17/7 Ans