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AP EAMCET20227 Jul 2022Evening ShiftMathematicsStraight LinesActual

Suppose the hypotenuse and its opposite vertex of an isosceles right angled triangle are 3 x+4 y-4=0 and (2,2) respectively. Then, which of the following is another side of the triangle?

Options

  1. Ax-7 y-12=0
  2. Bx+7 y+12=0
  3. C7 x+y-16=0
  4. D7 x+y+16=0

Correct answer

C. 7 x+y-16=0

Step-by-step solution

Equation of B C is 3 x+4 y-4=0 Slope of A D= 4 3 Let the slope of one of other sides be m . aligned & Then, 45^ = | m- 4 3 1+ 4 m 3 | 1= | 3 m-4 3+4 m | & 3 m-4 3+4 m =1 or 3 m-4 3+4 m =-1 & m=-7 or m= 1 7 aligned and side passes through (2,2) . Equation of side can be 7 x+y-16=0 or x-7 y+12=0

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