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
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
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
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)
The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y-axis at
(A) (0, 13) (B) (0, –13)
(C) (0, 12) (D) (13, 0)
If P a/3, 4 is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is
(A) – 4 (B) – 12 (C) 12 (D) – 6
The fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B (6, 7) and C (8, 3) is
(A) (0, 1) (B) (0, –1) (C) (–1, 0) (D) (1, 0)
The point which lies on the perpendicular bisector of the line segment joining the points A (–2, –5) and B (2, 5) is
(A) (0, 0) (B) (0, 2) (C) (2, 0) (D) (–2, 0)
The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the
(A) I quadrant (B) II quadrant
(C) III quadrant (D) IV quadrant
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