Q : 14 Consider the following population and year graph, find the slope of the line and using it, find what will be the population in the year 2010?
Q: 13 If three points and lie on a line, show that
Q: 12 A line passes through and . If slope of the line is , show that
.
Q : 11 The slope of a line is double of the slope of another line. If tangent of the angle between them is find the slopes of the lines
Q : 10 Find the angle between the x-axis and the line joining the points and .
Q: 9 Without using the distance formula, show that points and are the vertices of a parallelogram.
Q : 8 Find the value of for which the points and are collinear.
Q: 7 Find the slope of the line, which makes an angle of with the positive direction of -axis measured anticlockwise.
Q ; 6 Without using the Pythagoras theorem, show that the points and are the vertices of a right angled triangle.
Q: 5 Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points and .
Q: 4 Find a point on the x-axis, which is equidistant from the points and .
Q : 3 Find the distance between and when :
(ii) PQ is parallel to the -axis.
Q : 3 Find the distance between and when :
(i) PQ is parallel to the -axis.
Q : 2 The base of an equilateral triangle with side lies along the -axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
Q : 1 Draw a quadrilateral in the Cartesian plane, whose vertices are and . Also, find its area.