) T or D = (T + ), which is the required relation. EXERCISE . . Draw a quadrilateral in the Cartesian plane, whose vertices are (– , ), ( , ), ( , – ) and (– , – ).
Also, find its area. . The base of an equilateral triangle with side a lies along the y -axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
. Find the distance between P ( x , y ) and Q ( x , y ) when : (i) PQ is parallel to the y -axis, (ii) PQ is parallel to the x -axis. . Find a point on the x -axis, which is equidistant from the points ( , ) and ( , ).
. Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P ( , – ) and B ( , ). Fig . MATHEMATICS .
Without using the Pythagoras theorem, show that the points ( , ), ( , ) and ( – , – ) are the vertices of a right angled triangle. . Find the slope of the line, which makes an angle of ° with the positive direction of y -axis measured anticlockwise. .
Find the value of x for which the points ( x, – ), ( , ) and ( , ) are collinear. . Without using distance formula, show that points ( – , – ), ( , ), ( , ) and ( – , ) are the vertices of a parallelogram. .
Find the angle between the x- axis and the line joining the points ( , – ) and ( , – ). . 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.
. A line passes through ( x , y ) and ( h, k ). If slope of the line is m , show that k – y