First slide

Equation of line in Straight lines

Question

One vertex of an equilateral triangle is (2,3) and the equation of one side is x-y+5=0. Then the equations to other sides are

Moderate

A

$y - 3 = - (2 \pm \sqrt{3}) (x - 2)$
B

$y - 3 = (\sqrt{2} \pm 1) (x - 2)$
C

$y - 3 = (\sqrt{3} \pm 1) (x - 2)$
D

$y - 3 = (\sqrt{5} \pm 1) (x - 2)$

Solution

Let slope of another side is m $\tan 60^{0} = |\frac{m - 1}{1 + m}|; m = - 2 \pm \sqrt{3}$

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