The base `B C` of a ` A B C` is bisected at the point `(p ,q)` & the equation to the side `A B&A C` are `p x+q y=1` & `q x+p y=1` . The equation of the median through `A` is: `(p-2q)x+(q-2p)y+1=0` `(p+q)(x+y)-2=0` `(2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1)` none of these

Options

A. `(p-2q)x+(q-2p)y+1=0`
B. `(p+q)(x+y)-2=0`
C. `(2pq-1)(px+qy-1)=(p^(2)+q^(2)-1)(qx+py-1)`
D. None of these

Answer

A