Let A(x, y, z) be a point in x y-plane, which is equidistant from the 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) : \triangle A B C is an isosceles right angled triangle, and (S 2) : The area of \triangle A B C is {9 \sqrt{2}}/{2}, [28 Jan 2025 Shift 1]

Correct Answer is : Only (S1) is true

JEE Main 28 Jan 2025 Shift 1 Paper

Section: Mathematics

Question : 14 of 75

Marks: +1, -0

Let A(x,y,z) be a point in xy-plane, which is equidistant from the 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 ‌

9√2

[28 Jan 2025 Shift 1]

Both are true
Only (S1) is true
Only (S2) is true
Both are false

Validate

Go to Question:

Prev Question

Next Question