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Coordinate Geometry

State whether the following statement are true or false. Justify your answer.

The points (0, 5), (0, –9) and (3, 6) are collinear.

Coordinate Geometry

State whether the following statement are true or false. Justify your answer.

Point P (– 4, 2) lies on the line segment joining the points A (– 4, 6) and B (– 4, – 6).

Coordinate Geometry

State whether the following statement are true or false. Justify your answer.

∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with vertices D (–4, 0) E (4, 0) and F (0, 4).

Coordinate Geometry

Point  P  (0,  –7)  is  the  point  of  intersection  of  y-axis  and perpendicular bisector of line segment joining the points          A (–1, 0) and B (7, –6).

Coordinate Geometry

 The points (4, 5), (7, 6) and (6, 3) are collinear.

Coordinate Geometry

The points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram.

Coordinate Geometry

If the points A (1, 2), O (0, 0) and C (a, b) are collinear, then
(A) a = b (B) a = 2b (C) 2a = b (D) a = –b

Coordinate Geometry

If the distance between the points (4, p) and (1, 0) is 5, then the value of p is
(A) 4 only (B) ± 4 (C) – 4 only (D) 0

Coordinate Geometry

The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is
(A) (a + b + c)² (B) 0 (C) a + b + c (D) abc

Coordinate Geometry

A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
(A) (0, – 5) and (2, 0) (B) (0, 10) and (– 4, 0)
(C) (0, 4) and (– 10, 0) (D) (0, – 10) and (4, 0)