Question

Let ABC be an isosceles triangle with AB = BC. If base BC is parallel to x-axis and m1 and m2 be the slopes of medians drawn through the angular points B and C, then:

(a) m1m2 = –1

(b) m1 + m2 = 0

(c) m1m2 = 2

(d) m1 + 2m2 = 0

Answer 1

Correct option (b) m1 + m2 = 0

Explanation:

Let B ≡ (b,b1), C ≡ (3b, b1), A ≡(2b,a)and B1 and C2 be the midpoints of AC and AB respectively.