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Manipal MET2011MathematicsStraight Lines

One diagonal of a square is along the line 8 x-15 y=0 and one of its vertex is (1,2) . Then, the equation of the sides of the square passing through this vertex are

Options

  1. A23 x+7 y=9,7 x+23 y=53
  2. B23 x-7 y-9=0,7 x+23 y-53=0
  3. C23 x-7 y+9=0,7 x+23 y+53=0
  4. DNone of the above

Correct answer

B. 23 x-7 y-9=0,7 x+23 y-53=0

Step-by-step solution

Slop of B D is 8 15 and angle made by B D with A D and D C is 45^ . So, let slope of D C be m , then 45^ = m- 8 15 1+ 8 15 m (15+8 m)= (15 m-8) m= 23 7 and - 7 23 Hence, the equation of D C and A D are y-2= 23 7 (x-1) 23 x-7 y-9=0 and y-2=- 7 23 (x-1) 7 x+23 y-53=0

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