JEE Main 2025 Mathematics question
Let A(x, y, z) be a point in xy-plane, which is equidistant from three points (0, 3, 2), (2, 0, 3) and (0, 0, 1). Let B = (1, 4, –1) and C = (2, 0, –2). Then among the statements (S1) : ABC is an isosceles right angled triangle and (S2) : the area of ABC is
Answer: (2)
Solution
A(3,2,0), B(1,4,-1), C(2,0,-2). AB=AC=3, BC=√18, so isosceles right angled with area 9/2, not 9√2/2. So only S1 is true.