Straight Line Question 15

Question: If the lines $ y=(2+\sqrt{3})x+4 $ and $ y=kx+6 $ are inclined at an angle $ 60^{o} $ to each other, then the value of k will be

Options:

A) 1.

B) 2

C) 1

D) 2

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{k-(2+\sqrt{3})}{1+k(2+\sqrt{3})}=\sqrt{3} $ or $ k-2-\sqrt{3}=\sqrt{3}+2k\sqrt{3}+3k $ , $ k=\frac{-2(1+\sqrt{3})}{2(1+\sqrt{3})}=-1 $



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