Q84 / 160 · AP EAMCET 2025 (23 MAY SHIFT 1) · Mathematics

The equation of the base of an equilateral triangle is $x+y=2$ and its opposite vertex is $(2,1)$. If $m_1, m_2$ are the slopes of the other two sides and the length of its side is a, then $\left|m_1-m_2\right|+a \sqrt{2}=$

A
$8 \sqrt{3}$
Correct answer
B
$\frac{8}{\sqrt{3}}$
C
$4 \sqrt{\frac{2}{3}}$
D
$8 \sqrt{\frac{2}{3}}$

Hence, the correct answer is option: 'B'.

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