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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\sqrt { 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)( 2 + \sqrt { 3 } ) x + 4 ….(i)

y = kx + 6 ….(ii)

By (i) Ž m1 = (2+3)( 2 + \sqrt { 3 } )

By (ii) Ž m2 = k

\ tan 600 = Ž k = – 1