Three consecutive vertices of a parallelogram are (-2,1), (1,0) and (4,3). Find the fourth vertex.
(1, 4)
(1, -2)
(-1, 2)
(-1, -2)
If the centroid of the triangle (a,b) , (b,c) and (c,a) is O(0,0), then the value of a3 + b3 + c3 is
0
abc
3abc
2abc
The value of ' K ' for which the points (7, -2), (5,1) (3, -K) are collinear.
K = 4
K = 3
K = -4
K = -5
If OPQR is a rectangle where O is the origin and P(3,0) and R(0, 4), then the coordinates of Q are
(3, -4)
(3 , 4)
(4, 3)
(-3, -4)
The ratio in which the point (5,4) divides the line joining points (2,1) and (7,6) is
2 : 1
2 : 3
3 : 2
3 : 4
The distance between the points (sinθ, sinθ) and (cosθ, -cosθ) is
2
√2
√3
1
The distance of a point from the y - axis is called its
Ordinate
Abscissa
Slope
Origin
If the area of the triangle with vertices (x, 0), (1, 1) and (0, 2) is 4 square units, then the value of x is
5
-5
6
-6
Find the coordinates of the point which divides the line segment joining the points (6, -3) and (4,2) in the ratio 3 : 1 internally.
(18/4, 3/4)
(12/3, 2/6)
(-10/3, 3/4)
(9, 18/4)
The coordinates of vertices A, B and C of a triangle ABC are (0, -1), (2, 1) and (0, 3). Find the length of the median through B.
3
4
