If (x, y) divides the line segment joining (4, 3) and (2, 5) in the ra

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

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

Answer» Correct Answer - Option 1 : (3, 4)

Given:

(x, y) divides the line segment joining (4, 3) and (2, 5) 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 × 2 + 1 × 4)/(1 + 1)

⇒ x = (2 + 4)/2

⇒ x = 6/2

⇒ x = 3

y = (my₂ + ny₁)/(m + n)

⇒ y = (1 × 5 + 1 × 3)/(1 + 1)

⇒ y = (5 + 3)/2

⇒ y = 8/2

⇒ y = 4

∴ The value of (x, y) is (3, 4).