Slope of the line joining (-α, α) and (α, α + α√3) is …………………

A) 2/√3

B) 1/√3

C) √3 

D) √3/2

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2 Answers

Correct option is (D) √3/2

Slope of line joining points \((-\alpha, \alpha)\) and \((\alpha, \alpha+\alpha \sqrt3)\) is

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{\alpha+\alpha\sqrt3-\alpha}{\alpha-(-\alpha)}\)

\(=\frac{\alpha\sqrt3}{2\alpha}=\frac{\sqrt3}{2}\)

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Correct option is D) √3/2

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