UPSC CDS 2 2020 Math Paper

As AD is the median of triangle ABC.
We know that each median divides the triangle into two similar triangles of equal area.
⇒ ar(ΔABD)=ar(ΔACD) ………….(1)
Similarly, PD is the median of triangle PBC.
We know that each median divides the triangle into two similar triangles of equal area.
⇒ ar(ΔPBD)=ar(ΔPCD) ………….(2)
From (1) and (2)
⇒ar(ΔPAB)=ar(ΔPAC)
Hence, option B is correct.