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TS EAMCET · Maths · Straight Lines

If a line \(l\) passes through \((k, 2 k),(3 k, 3 k)\) and \((3,1), k \neq 0\), then the distance from the origin to the line \(l\) is

  1. A \(\frac{1}{\sqrt{5}}\)
  2. B \(\frac{4}{\sqrt{5}}\)
  3. C \(\frac{3}{\sqrt{5}}\)
  4. D \(\frac{2}{\sqrt{5}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{1}{\sqrt{5}}\)

Step-by-step Solution

Detailed explanation

Given points \(A(k, 2 k), B(3 k, 3 k)\) and \(C(3,1)\) are collinear.…