If (x, y) divides the line segment joining (6, 5) and (4, 7) in the ra

1.	If (x, y) divides the line segment joining (6, 5) and (4, 7) in the ratio 1 : 1 internally, then find the value of (x, y).1. (3, 4)2. (4, 3)3. (5, 6)4. (8, 5)
Answer» Correct Answer - Option 3 : (5, 6) Given: (x, y) divides the line segment joining (6, 5) and (4, 7) in the ratio 1 : 1 internally. Formula Used: x = (mx₂ + nx₁)/(m + n) y = (my₂ + ny₁)/(m + n) Calculation: x = (mx₂ + nx₁)/(m + n) ⇒ x = (1 × 4 + 1 × 6)/(1 + 1) ⇒ x = (4 + 6)/2 ⇒ x = 10/2 ⇒ x = 5 y = (my₂ + ny₁)/(m + n) ⇒ y = (1 × 7 + 1 × 5)/(1 + 1) ⇒ y = (7 + 5)/2 ⇒ y = 12/2 ⇒ y = 6 ∴ The value of (x, y) is (5, 6).

If (x, y) divides the line segment joining (6, 5) and (4, 7) in the ratio 1 : 1 internally, then find the value of (x, y).1. (3, 4)2. (4, 3)3. (5, 6)4. (8, 5)

Answer» Correct Answer - Option 3 : (5, 6)

Given:

(x, y) divides the line segment joining (6, 5) and (4, 7) in the ratio 1 : 1 internally.

Formula Used:

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Calculation:

x = (mx₂ + nx₁)/(m + n)

⇒ x = (1 × 4 + 1 × 6)/(1 + 1)

⇒ x = (4 + 6)/2

⇒ x = 10/2

⇒ x = 5

y = (my₂ + ny₁)/(m + n)

⇒ y = (1 × 7 + 1 × 5)/(1 + 1)

⇒ y = (7 + 5)/2

⇒ y = 12/2

⇒ y = 6

∴ The value of (x, y) is (5, 6).