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
- Aboth are incorrect
- Bonly (S2) is correct
- Conly (S1) is correct
- 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.