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