Question -
Answer -
Let us consider ‘m1’ and‘m’ be the slope of the two given lines such that m1 = 2m
We know that if θ is the angle between the lines l1 and l2 withslope m1 and m2, then
1+2m2 = -3m
2m2 +1 +3m = 0
2m (m+1) + 1(m+1) = 0
(2m+1) (m+1)= 0
m = -1 or -1/2
If m = -1, then the slope of the lines are -1 and -2
If m = -1/2, then the slope of the linesare -1/2 and -1
Case 2:
2m2 – 3m + 1 = 0
2m2 – 2m – m + 1= 0
2m (m – 1) – 1(m – 1) = 0
m = 1 or 1/2
If m = 1, then the slope of the lines are 1 and 2
If m = 1/2, then the slope of the linesare 1/2 and 1
∴ Theslope of the lines are [-1 and -2] or [-1/2 and -1] or [1 and 2]or [1/2 and 1]