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WBJEE · Maths · Straight Lines

If (1, 5) be the midpoint of the segment of a line between the line 5x – y – 4 = 0 and 3x + 4y – 4 = 0, then the equation
of the line will be

  1. A 83x + 35y – 92 = 0
  2. B 83x – 35y + 92 = 0
  3. C 83x – 35y – 92 = 0
  4. D 83x + 35y + 92 = 0
Verified Solution

Answer & Solution

Correct Answer

(B) 83x – 35y + 92 = 0

Step-by-step Solution

Detailed explanation

\(P_1 P_2\) be the intercept between the lines \(5 x-y-4=0\) and \(3 x+4 y-4=0\). \(P_1 P_2\) makes an angle \(\theta\) with the positive \(x-a x i s\). \(\left(\mathrm{x}_1, \mathrm{y}_1\right)=\mathrm{A}(1,5)\) So, the equation of the line passing through \(\mathrm{A}(1,5)\)…
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