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AP EAMCET · Maths · Straight Lines

The point on the line \(4 x-y-2=0\) which is equidistant from the points \((-5,6)\) and \((3,2)\) is

  1. A \((2,6)\)
  2. B \((4,14)\)
  3. C \((1,2)\)
  4. D \((3,10)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \((4,14)\)

Step-by-step Solution

Detailed explanation

Let the required point be \(\mathrm{P}\left(x_1, y_1\right)\) and it is on the line \(4 x-y-2=0\). Then, \(4 x_1-y_1-2=0\) ...(i) Also given, point \(P\) is equidistant from \(A(-5,6)\) and…