Points of Trisection of a Line Segment

Q.

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

1. $(2,\frac{5}{3})\text{and}(0,\frac{1}{3})$
2. $(-2,\frac{5}{3})\text{and}(2,\frac{1}{3})$
3. $(-2,\frac{5}{3})\text{and}(0,\frac{1}{3})$
4. $(-2,\frac{5}{3})\text{and}(0,\frac{4}{3})$

Q. Ratio in which the point (8, 7) divides the line segment joining the points $(\frac{28}{3},\frac{22}{3})and(\frac{20}{3},\frac{20}{3})$ is k:1. k =.

1. \N
2. 1
3. 2
4. 3

Q. The line segment joining A(6, 3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.

$\left[5\right]$

Q. The triangle formed by joining the points A(-2 , 2), B (4 , 2) and C(1 , 6) is .

1. isosceles
2. right angled
3. scalene

Q. The ratio in which the line segment joining A(-3 , 10) and B (6 , -8) is divided by P (-1 , 6) is .

1. 2 : 7
2. 3 : 5
3. 2 : 3