There are two problems based onsimilarity of trianglesinRD Sharmafor 10th

1.D is the mid point of side BC of a triangle ABC.AD is bisected at point E and BE produced cuts AC at X.Prove that BE:EX=3:1.

2.ABCD is parallelogram and APQ is a straight line meeting BC at P and DC produced at Q.Prove that the rectangle obtained by BP and DQ is equal to rectangle obtained by AB & BC.

NO FIGURES HAVE BEEN PROVIDED FOR BOTH.