The base $BC$ of a triangle $ABC$ is bisected at the point $(p, q)$ and the equations to the sides $AB$ and $AC$ are respectively $px+qy= 1$ and $qx + py = 1.$ Then the equation to the median through $A$ is
The base $BC$ of a triangle $ABC$ is bisected at the point $(p, q)$ and the equations to the sides $AB$ and $AC$ are respectively $px+qy= 1$ and $qx + py = 1.$ Then the equation to the median through $A$ is
- A
$(2pq - 1)(px + qy - 1) = ({p^2} + {q^2} - 1)(qx + py - 1)$
- B
$({p^2} + {q^2} - 1)(px + qy - 1) = (2p - 1)(qx + py - 1)$
- C
$(pq - 1)(px + qy - 1) = ({p^2} + {q^2} - 1)(qx + py - 1)$
- D
None of these
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