**Question 1 :**

Using the section formula, show that the points

A(1, 0),B (5, 3), C (2, 7) and D(-2, 4)

are vertices of a parallelogram taken in order.

**Question 2 :**

The 4 vertices of a parallelogram are

A(-2, 3), B(3, -1), C(p, q) and D(-1, 9)

Find the value of p and q.

**Question 3 :**

Find the coordinates of the point which divides the line segment joining

(3, 4) and (-6, 2)

in the ratio 3:2 externally.

**Question 4 :**

Find the coordinates of the point which divides the line segment joining (-3, 5) and (4, -9) in the ratio 1:6 internally.

**Question 5 :**

Let A (-6 , -5) and B(-6 , 4) be the two points such that a point P on the line AB satisfies AP = (2/9) AB. Find the point P.

**Question 6 :**

Find the points of trisection of the line segment joining the points A (2, -2) and B (-7, 4).

**Question 7 :**

Find the ratio in which x axis divides the line segment joining the points (6, 4) and (1,- 7).

**Question 8 :**

Find the ratio in which x axis divides the line segment joining the points (6 , 4) and (1 ,- 7).

**Question 9 :**

Find the coordinates of the points of trisection of the line segment joining the points A(−5, 6) and B(4,−3).

**Question 10 :**

The line segment joining A(6,3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.

**Question 11 :**

Find the points which divide the line segment joining A(-4, 0) and B(0, 6) into four equal parts

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