Solve it clearly please. I need it as soon as possible.

Q4[ 5+5 = 10 Marks] a) The barycentric coordinates of a point P with respect to the non-collinear points A, B, C is given by P = (a:B:Y)ABC, where a +B+y=1. The cevian from A through P meets the opposite side BC at D. Prove that the barycentric coordinates of P with respect to the points A, D is given by P = (a : B+Y) AD- b) In AABC, poins D, E are on the sides BC, CA such that BD:DC = 1:2, CE: EA = 2 : 3. The cevians AD, BE meet at P. Find the barycentric coordinate of P with respect to ABC. (Hint: Assume P=aA + BB + yc, with a + B + y = 1. Apply part a) to D and E to find a, b,y.) Q4[ 5+5 = 10 Marks] a) The barycentric coordinates of a point P with respect to the non-collinear points A, B, C is given by P = (a:B:Y)ABC, where a +B+y=1. The cevian from A through P meets the opposite side BC at D. Prove that the barycentric coordinates of P with respect to the points A, D is given by P = (a : B+Y) AD- b) In AABC, poins D, E are on the sides BC, CA such that BD:DC = 1:2, CE: EA = 2 : 3. The cevians AD, BE meet at P. Find the barycentric coordinate of P with respect to ABC. (Hint: Assume P=aA + BB + yc, with a + B + y = 1. Apply part a) to D and E to find a, b,y.)