Question 2 :
State true or false:<br/>In triangle $$ ABC $$, angle $$ B $$ is obtuse. $$ D $$ and $$ E $$ are mid-points of sides $$ AB $$ and $$ BC $$ respectively and $$ F $$ is a point in side $$ AC $$ such that $$ EF $$ is parallel to $$ AB $$. Then, $$ BEFD $$ is a parallelogram. 
Question 3 :
Consider the following statements<br>(1) The bisectors of all the four angles of a parallelgram enclose a rectangle.<br>(2) The figure formed by joining the midpoints of the adjacent sides of rectangle is rhombus<br>(3) The figure formed by joining the midpoints of the adjacents sides of a rhombus is square
Question 4 :
Suppose the triangle ABC has an obtuse angle at C and let D be the midpoint of side AC Suppose E is on BC such that the segment DE is parallel to AB. Consider the following three statements<br/>i) E is the midpoint of BC<br/>ii) The length of DE is half the length of AB<br/>iii) DE bisects the altitude from C to AB
Question 5 :
One side of a parallelogram has length $$3$$ and another side has length $$4$$. Let $$a$$ and $$b$$ denote the lengths of the diagonals of the parallelogram. Which of the following quantities can be determined from the given information ?<br/>(l) a$$  +  b$$      (II)$$\  a^{2}+b^{2}$$      (III)$$\  a^{3}+b^{3}$$<br/>
Question 6 :
M is the midpoint of $$\displaystyle\overline{AB}$$. The coordinates of A are $$(-2,3)$$ and the coordinates of M are $$(1,0)$$. Find the coordinates of B.
Question 7 :
Tangents <i>PA</i> and <i>PB</i> drawn to $$ x^2+y^2=9 $$ from any arbitrary point <i>'P</i>' on the line $$ x+y=25 $$. Locus of midpoint of chord <i>AB</i> is
Question 8 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O.If OA = 3 cm and OD = 2 cm, determine the length of AC.<br/><br/>
Question 9 :
A triangle ABC in which AB=AC, M is a point on AB and N is a point on AC such that if BM=CN then AM=AN
Question 10 :
If (3, -4) and (-6, 5) are the extremities of the diagonal of a parallelogram and (-2, 1) is its third vertex then its fourth vertex is
Question 11 :
Two consecutive angles of a parallelogram are in the ratio $$1 : 3$$, then the smaller angle is :<br/>
