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AP EAMCET201921 Apr 2019Morning ShiftMathematicsStraight LinesActual

If O is the origin and A and B are points on the line 3 x-4 y+25=0 such that O A = O B =13 , then the area of O A B (in sq units) is

Options

  1. A30
  2. B120
  3. C60
  4. D65

Correct answer

C. 60

Step-by-step solution

Required distance O P= | 0+0+25 3^2+4^2 |= | 25 5 |=5 So, A P=P B=12 [By Pythagoras theorem in A O P ] Area of aligned O A B & = 1 2 24 5 & =12 5=60 aligned

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