Question
Question: If the lines y = (2 + \(\sqrt { 3 }\))x + 4 and y = kx + 6 are inclined at an angle 60<sup>0</sup> t...
If the lines y = (2 + 3)x + 4 and y = kx + 6 are inclined at an angle 600 to each other, then the value of k will be
A
1
B
2
C
– 1
D
– 2
Answer
– 1
Explanation
Solution
y = (2+3) x + 4 ….(i)
y = kx + 6 ….(ii)
By (i) Ž m1 = (2+3)
By (ii) Ž m2 = k
\ tan 600 = Ž k = – 1