Question

if the area of ∆abc is 120cm^2 and the median is bisected at point p. then find ar∆abp/ar∆abc​

Answer 1

Answer:

Equation of family of lines through AB and AC.

⟹(px+qy−1)+λ(qx+py−1)=0−(1)

Let this be equation of AD

⟹ It passes through D(p,q)

⟹(p

2

+q

2

−1)+λ(pq+pq−1)=0

⟹λ=−

(2pq−1)

(p

2

+q

2

−1)

putting in equation (1)

⟹(px+qy−1)−

2pq−1

(p

2

+q

2

−1)

(qx+py−1)=0

⟹(2pq−1)(px+qx−1)=(p

2

+q

2

−1)(qx+py−1)

Answer 2

Answer:

please give figure bro