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AP EAMCET201822 Apr 2018Evening ShiftMathematicsStraight LinesActual

If a pair of perpendicular lines through the origin together with the straight line 2 x+3 y=6 form an isosceles triangle, then the area of that triangle (in sq units) is

Options

  1. A6 13
  2. B6 13
  3. C36 13
  4. D27 13

Correct answer

C. 36 13

Step-by-step solution

Since, A O B is a right angled triangle, so A= B= 4 aligned So, & A B=2 A P=2 O P Now, & O P= |6| 4+9 = 6 13 aligned So, Area of A O B= 1 2 A B O P=O P^2= 36 13

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