In ∆ ABC, if L and M are the points on AB and AC, respectively such that LM || BC. Prove that ar (LOB) = ar (MOC)
Which one of the following is a human made resource?
(a) medicines to treat cancer
(b) spring water
(c) tropical forests
ABCD is a trapezium in which AB || DC, DC = 30 cm and AB = 50 cm. If X and Y are, respectively the mid-points of AD and BC,
prove that ar (DCYX) = 7/9 ar (XYBA)
Which one of the following does NOT make substance a resource?
(a) utility (b) value (c) quantity
The medians BE and CF of a triangle ABC intersect at G. Prove that the area of ∆ GBC = area of the quadrilateral AFGE.
The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line
is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram
into two parts of equal area.
A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that ar (ADF) = ar (ABFC)