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