Finding Ratio Given the Points

Q.

In what ratio is the line segment joining (-1, 3) and (4, -7) divided by the point (2, -3)?

1. 3:5

2. 5:3

3. 3:2

4. 2:7

Q.

Calculate the ratio in which the line joining points A(-1, 2) and B(5, 7) is divided by the line x=2.

1. 4 : 5

2. 3 :2

3. 1 : 1

4. 9 : 4

Q. The 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. The value of k is _

Q.

Determine the ratio in in which the line $2x+y-4=0$ divides the line segment joining the points A(2, -2) and B (3, 7).

1. 2 : 9

2. 9 : 2

3. 9 : 1

4. 1 : 9

Q.

Find the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by (-1, 6).

1. 2:7

2. 7:2

3. 3:5

4. 5:3

Q.

If P(a, b) divides B(h, k) and C(l, m) such that $a$ = $\frac{pl+qh}{p+q}$. Find the ratio in which P divides BC.

1. p : q

2. l : h

3. q : p

4. k : m

Q. In what ratio is the line segment joining $(2,4)$ and $(6,8)$ divided by the line $3x+4y=5?$

Q. Find the ratio in which the line 2x +y -4 =0 divide the line segment joining the points A(2, -2) and B(3, 7).

Q. In what ratio is the line segment joining $(0,2)$ and $(6,8)$ divided by the line $2x+2y=5?$