Points of Trisection

Q.

Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the line joining the points of trisection of the line AB.

1. $1:1$

2. $2:1$

3. $\frac{1}{2}:1$

4. $4:1$

Q. Find the points of trisection of the line segment joining the points A(-4, 3) and B (2, -1).

[3 marks]

Q. The length (in units ) of a line segment intercepted between the coordinate axes by the line joining the points (1, 2) and (3, 4) is

Q. The ratio in which the midpoint of A(0, 6) and B(12, 12) divides the points of trisection of the line AB is .

1. 1:1
2. 1:2
3. 2:1

Q. Find the equation of the line that has the given points: (1, 3), (2, 3) and (4, 3).

1. y - 3 = 0
2. x + 3 = 0
3. y + 3 = 0
4. x - 3 = 0

Q. The coordinate of a point $P$ on the line segment joining $A(1,2)$ and $B(6,7)$ such that $AP=\frac{2AB}{5}$, is

1. $(-1,2)$
2. $(3,4)$
3. $(1,2)$
4. None of these

Q. Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the line joining the points of trisection of the line AB.

[5 marks]

Q. P, Q, R are three collinear points. The coordinates of P and R are (3, 4) and (11, 10) respectively and PQ is equal to 2.5 units. Coordinates of Q are-

1. (5, 11/2)
2. (11, 5/2)
3. (5, -11/2)
4. (-5, 11/2)

Q. Find the equation of the line that has the given points: (1, 3), (2, 3) and (4, 3).

1. y - 3 = 0
2. x + 3 = 0
3. y + 3 = 0
4. x - 3 = 0