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

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Correct option is C

y=(2+3)x+4----(1)y=kx+6-----(2)By⁡(1)⇒m1=(2+3)By⁡(2)⇒m2=k∴ tan⁡60∘=m1−m21+m1m2 3=2+3-k1+k2+3⇒3+23k+3k=2+3-k⇒23+4k=2⇒k=2-3

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If the lines y=(2+3)x+4 and y=kx+6 are inclined at an angle 60∘ to each other, then the value of k will be

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