**Q1:-**Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.

**Q2:-**The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find the vertices of the triangle.

**Q3:-**Find the distance between P (x1 , y1 ) and Q (x2 , y2 ) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis

**Q4:-**Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).

**Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, – 4) and B (8, 0).Q5:-**

**Q6:-**Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right-angled triangle

Q7:-Find the slope of the line, which makes an angle of 30°
with the positive direction
of y-axis measured anticlockwise.

**Q8:-**Without using the distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (–3, 2) are the vertices of a parallelogram.

**-Find the angle between the x-axis and the line joining the points (3,–1) and (4,–2).Q9:**

**Q10:-**The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3 , find the slopes of the lines.

**Q11:-**A line passes through (x1 , y1 ) and (h, k). If slope of the line is m, show that k – y1 = m (h – x1 ).