If sum of algebraic distance from points is zero on the line , then

Statement 2:

The centroid of triangle is (1, 2)

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c)

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True

1 Answer

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Answer Key / Explanation : (d) -

(d)

We know that if sum of algebraic distances from three points on the variable line is zero, then the line always passes through the mean of the given point, which is centroid of triangle formed by given three points. But centroid of triangle is (1, 2). Hence, the line must pass through it, for which . Therefore, statement 1 is false and statement 2 is true