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TS EAMCET · Maths · Straight Lines

An equation of a line whose segment between the coordinate axes is divided by the point \(\left(\frac{1}{2}, \frac{1}{3}\right)\) in the ratio \(2: 3\), is

  1. A \(6 x+9 y=5\)
  2. B \(9 x+6 y=5\)
  3. C \(4 x+9 y=5\)
  4. D \(9 x+4 y=5\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 x+9 y=5\)

Step-by-step Solution

Detailed explanation

Let \(A\) and \(B\) be the points on the coordinate axes, where the line intersect. Since, \(P\) divides the line segment \(B A\) in the ratio \(2: 3\). Then, the coordinates of point \(P\) will be…