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TS EAMCET · Maths · Straight Lines

The equation of the base of an equilateral triangle is \(12 x+5 y-65=0\). If one of its vertices is \((2,3)\), then the length of the side is

  1. A \(\frac{4}{13}\)
  2. B \(\frac{2}{\sqrt{3}}\)
  3. C \(\frac{4}{\sqrt{3}}\)
  4. D \(\frac{2}{13}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{4}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

Since, \(A(2,3)\) do not lie on \(12 x+5 y-65=0\) \(\therefore A D\) is altitude of \(\triangle A B C\).…