In the adjoining figure, P(5, -3) and Q(3, y) are the points of trisection of the line segment joining A(7, -2) and B(1, -5). Then, y equals : 1. -4 2. 3. 2 4. 4

Question

KnowledgeBoat · Accepted Answer

Since P and Q trisect the line segment AB, the point Q(3, y) divides A(7, -2) and B(1, -5) in the ratio 2 : 1. Let point Q be (3, y). Given, m1 : m2 = 2 : 1 By section-formula, (x, y) = Substituting values we get : Thus, y = -4. Hence, Option 1 is the correct option.

Mathematics

In the adjoining figure, P(5, -3) and Q(3, y) are the points of trisection of the line segment joining A(7, -2) and B(1, -5). Then, y equals : 1. -4 2. 3. 2 4. 4

Section Formula

Related Questions

In what ratio is the line segment joining the points P(-4, 2) and Q(8, 3) divided by y-axis?
1 : 3
3 : 1
1 : 2
2 : 1

The mid-point of the line segment joining the points (-3, 2) and (7, 6) is:
(-2, -4)
(-2, 4)
(2, 4)
(4, 2)

Mathematics

In the adjoining figure, P(5, -3) and Q(3, y) are the points of trisection of the line segment joining A(7, -2) and B(1, -5). Then, y equals : 1. -4 2. 3. 2 4. 4

Section Formula

Related Questions

In what ratio is the line segment joining the points P(-4, 2) and Q(8, 3) divided by y-axis?1 : 33 : 11 : 22 : 1

The mid-point of the line segment joining the points (-3, 2) and (7, 6) is:(-2, -4)(-2, 4)(2, 4)(4, 2)

In what ratio is the line segment joining the points P(-4, 2) and Q(8, 3) divided by y-axis?
1 : 3
3 : 1
1 : 2
2 : 1

The mid-point of the line segment joining the points (-3, 2) and (7, 6) is:
(-2, -4)
(-2, 4)
(2, 4)
(4, 2)