Points of Trisection
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Q. Which of the following statements are true about points of trisection?
- The points of trisection divides a line into 3 equal parts.
- There are 3 points of trisection.
- The points of trisection divide a line in the ratios of 1 : 2 and 2 : 1.
- The points of trisection need not lie on the line joining the two points.
Q. The ratio in which the midpoint of A (12 , 8) and B (4 , 6) divides the points of trisection of the line segment AB is
- 1 : 1
- 2 : 1
- 3 : 1
Q. In a line segment AB, P(2, 1) and Q(6, 2) are the points of trisection. Find the coordinates of A and B (P is closer to A and Q is closer to B).
- A(10, 3) and B(−2, 0)
- A(−2, 0) and B(10, 3)
- A(−2, 3) and B(10, −3)
- A(−2, 0) and B(10, 0)
Q. A, B, C and D are four points on the same straight line. The distances between successive points are equal such that AB = BC = CD. If A is (1, -3), C is (4, a) and D is (b, 5), then the values of a and b are :
- a=73 and b=112
- a=43 and b=72
- a=43 and b=112
- a=73 and b=72
Q. Find the ratio in which the midpoint of A(14, 10) and B(2, 4) divides the line joining the points of trisection of the line AB.
- 1 : 2
- 2 : 1
- 3 : 2
- 1 : 1
Q. Find the co-ordinates of the points of trisection of the segment joining the points A(-7, 4) and B(2, -2).
- (-4, 0)
- (-1, 0)
- (-4, 2)
- (-2, 0)
Q.
The coordinates of the point of trisection of the line segment joining the points A(4, 8) and B(-2, 4) are
P=(−4, 83)Q=(10, −9)
P=(2, 203)Q=(0, 163)
P=(8, −9)Q=(4, −23)
P=(4, 9)Q=(−5, 45)
Q.
Find the points of trisection of the line segment joining the points A(-4, 3) and B (2, -1).
- (−2, 53) and (2, 13)
- (−2, 53) and (0, 13)
- (2, 53) and (0, 13)
- (−2, 53) and (0, 43)
Q. Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the points of trisection of the line AB.
- 2 : 1
- 1 : 2
- 4 : 1
- 1 : 1
Q. In a line segment AB, P(2, 1) and Q(6, 2) are the points of trisection. The coordinates of A and B (P is closer to A and Q is closer to B) .
- A(-2, 0) and B(10, 3)
- A(10, 3) and B(-2, 0)
- A(-2, 3) and B(10, -3)
- A(-2, 0) and B(10, 0)