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AP EAMCET · Maths · Straight Lines

If a diagonal of a square is along the line \(8 x-15 y=0\) and one of its vertices is \((1,2)\), then the equations of the sides of the square passing through this vertex are

  1. A \(23 x-7 y+9=0,7 x+23 y+53=0\)
  2. B \(23 x-7 y-9=0,7 x+23 y-53=0\)
  3. C \(23 x+7 y-9=0,7 x+23 y-53=0\)
  4. D \(23 x+7 y-9=0,7 x+23 y+53=0\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(23 x-7 y-9=0,7 x+23 y-53=0\)

Step-by-step Solution

Detailed explanation

Equation of line passes through point \((1,2)\) and inclined with an angle \(45^{\circ}\) with respect to line \(8 x-15 y=0\), because sides of a square inclined with diagonal at \(45^{\circ}\), is…