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AP EAMCET20228 Jul 2022Morning ShiftMathematicsStraight LinesActual

For a triangle formed by (0,0),(4,0) and (3,4) , the orthocenter is

Options

  1. A(3, 3 4 )
  2. B(3, 5 4 )
  3. C(3,12)
  4. D(3,9)

Correct answer

A. (3, 3 4 )

Step-by-step solution

Let Plotting the coordinates A (0,0), B (4,0) and C (3 ,4) Let AC is perpendicular to OB Hence AC x =3 ...(i) Let OD is perpendicular to BC OD = y = 1 4 x ...(ii) from (i) and (ii) Or the center (3, 3 4 )

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