Find the coordinates of the point Q on the x–axis which lies on the perpendicular bisector of the line segment joining the points A (–5, –2) and B(4, –2). Name the type of triangle formed by the points Q, A and B.
Find a point which is equidistant from the points A (–5, 4) and B (–1, 6)? How many such points are there?
Find the value of a , if the distance between the points A (–3, –14) and B (a, –5) is 9 units.
What type of a quadrilateral do the points A (2, –2), B (7, 3), C (11, –1) and D (6, –6) taken in that order, form?
Name the type of triangle formed by the points A (–5, 6), B (–4, –2) and C (7, 5).
ABCD is a parallelogram with vertices A (x1, y1), B (x2, y2) and C (x3, y3). Find the coordinates of the fourth vertex D in terms of x1, x2, x3, y1, y2 and y3.
Find the area of the triangle ABC with A (1, –4) and the mid-points of sides through A being (2, – 1) and (0, – 1).
If the mid-point of the line segment joining the points A (3, 4) and B (k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.
State whether the following statement are true or false. Justify your answer.
The points A (–1, –2), B (4, 3), C (2, 5) and D (–3, 0) in that order form a rectangle.