S1 : If (0, 3), (1,1) and (–1, 2) be the mid points of the sides of a triangle, then centroid of the original triangle is (0, 2)

Question

These questions contain Statement-1 (S1) and Statement-2 (S2). Of the four choices given (1), (2), (3) and (4) below, choose the one that best describes the two statements.

(1) Both S1 and S2 are correct and S2 is correct explanation of S1

(2) Both S1 and S2 are correct but S2 is not correct explanation of S1

(3) S1 is correct but S2 is wrong

(4) S1 is wrong but S2 is correct

S1 : If (0, 3), (1,1) and (–1, 2) be the mid points of the sides of a triangle, then centroid of the original triangle is (0, 2)

S2 : the centroids of the triangle and joins the mid points of the sides of triangle are same

Answer 1

(1) Both S1 and S2 are correct and S2 is correct explanation of S1

Explanation

then B≡(–2 –α, 4–β) and C ≡(2 –α, 2 –β)

Q D is mid point of B and C