Question

Statement 1 : The area of the triangle formed by the points A(1000, 1002), B(1001, 1004) C(1002, 1003) is same as the area formed by A₁ (0, 0), B₁ (1, 2), C₁ (2, 1)

Statement 2 : The area of the triangle is constant with respect to translation of axes.

(a) both the statements are true but statement 2 is the correct explanation of statement 1

(b) both the statement are true but statement 2 is not the correct explanation of statement1

(c) statement 1 is true and 2 is false

(d) statement 1 is false and 2 is true

Answer 1

Correct option is (a) both the statements are true but statement 2 is the correct explanation of statement 1

Area of triangles is unaltered by shifting origin to any point. If origin is shifted to (1000, 1002) A, B, C become P(0, 0), Q(1, 2), R(2, 1) both are true and statement 2 is correct -explanation of statement 1.