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AP EAMCET202419 May 2024Evening ShiftMathematicsProperties of TrianglesActual

If the area of the circum-circle of triangle formed by the line 2 x+5 y+ =0 and the positive coordinate axes is 29 4 sq.units, then | |=

Options

  1. A25
  2. B10
  3. C20
  4. D400

Correct answer

B. 10

Step-by-step solution

In the given figure A O B=90^ Since 2 x+5 y+a=0 x -a 2 + y -a 5 =1 So, A ( -a 2 , 0 ), B (0, -a 5 ) Since, radius = 1 2 a^2 4 + a^2 25 r= 1 2 29 a^2 100 = 29 20 a Since, r^2= 29 4 a^2=100 |a|=10 .

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