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.
State whether the following statement are true or false. Justify your answer.
The point P (–2, 4) lies on a circle of radius 6 and centre C (3, 5).
State whether the following statement are true or false. Justify your answer.
Points A (–6, 10), B (–4, 6) and C (3, –8) are collinear such that AB = 2/9 AC.
State whether the following statement are true or false. Justify your answer.
Point P (5, –3) is one of the two points of trisection of the line segment joining the points A (7, – 2) and B (1, – 5).
State whether the following statement are true or false. Justify your answer.
The point A (2, 7) lies on the perpendicular bisector of line segment joining the points P (6, 5) and Q (0, – 4).
State whether the following statement are true or false. Justify your answer.
A circle has its centre at the origin and a point P (5, 0) lies on it. The point (6, 8) lies outside the circle.
State whether the following statement are true or false. Justify your answer.
Points A (4, 3), B (6, 4), C (5, –6) and D (–3, 5) are the vertices of a parallelogram.
State whether the following statement are true or false. Justify your answer.
Points A (3, 1), B (12, –2) and C (0, 2) cannot be the vertices of a triangle.
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