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10 questions
The coordinates of the point which divides the line segment joining the points A (6, 3) and B (─ 4, 5) internally in the ratio 3 : 2 are :
(521, 0)
(0,521)
(2,519)
(524,521)
If the mid-point of the line segment joining the points (3a, 4) and (─ 1, 2b) is (1, 2a + 3), then the values of a and b are :
31 and −35
0 and −27
1 and 3
32 and 61
The coordinates of the point of intersection of the y-axis with the line segment joining the points (─ 4, 5) and
(3, ─ 7) are :
(0, −713)
(−1213, 0)
(−713, 0)
(0, −71)
In what ratio does the x-axis divide the line segment joining the points (─ 4, 3) and ( 8, ─ 6) ?
2 : 1
1 : 2
3 : 1
1 : 3
If the three consecutive vertices of a parallelogram ABCD are A (─ 1, 0), B (3, 1) and C (2, 2), then the coordinates of the fourth vertex D are :
(2, 1)
(0, −1)
(4, 3)
(−2, 1)
If the coordinates of one end of a diameter of a circle are
(4, ─ 1) and the coordinates of the centre of the circle are (1, ─ 3), then the coordinates of the other end of the diameter are :
(2, −7)
(−2, −5)
(25, −2)
(5, −4)
If the three vertices of a triangle are (5, ─ 1), (─ 3, ─ 2) and (─ 1, 8), then the coordinates of its centroid are :
(3, 311)
(31, 35)
(1, 5)
(3, −37)
The ratio in which the point (−3, 32) divides the line segment joining the points (─ 5, ─ 4) and (─ 2, 3) internally is :
2 : 3
1 : 2
2 : 1
3 : 1
The coordinates of the points of trisection of the line segment joining the points (1, ─ 2) and (─ 3, 4) are :
(−31,0) and (−35, 2)
(−1, 1) and (−2, 3)
(34, 2) and (2, 3)
(2, −3) and (25, −27)
: If x ─ 5y + k = 0 is a median of the triangle whose vertices are (2, 5), (─ 4, 9) and (─ 2, ─ 1), then the value of ‘k’ is :
−23
23
49
61
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