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JEE Main202622 January 2026Evening ShiftMathematicsStraight LinesActual

Among the statements (S 1) : If A(5,-1) and B(-2,3) are two vertices of a triangle, whose orthocentre is (0,0) , then its third vertex is (-4,-7) and (S2) : If positive numbers 2a, b, c are three consecutive terms of an A.P., then the lines ax + by + c =0 are concurrent at (2,-2) ,

Options

  1. Aboth are incorrect
  2. Bonly (S2) is correct
  3. Conly (S1) is correct
  4. Dboth are correct

Correct answer

D. both are correct

Step-by-step solution

Statement 1 m_ AO m_ BC = -1 B(-2, 3) A(5, -1) C(h, k) 2a, b, c A.P. b = 2a + c 2 2a - 2b + c = 0 lines ax + by + c = 0 are concurrent then x 2 = y -2 = 1 1 x = 2 and y = -2 Point of concurrency is (2, -2) Statement 2 is correct.

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