Correct Answer - Option 1 : (5,5)
Given
(5x/2) - 4y + (17/2) = 0
Calculation
When points are (5,5)
⇒ (5/2) × 5 - 4 × 5 + (17/2)
⇒ (25/2) - 20 + (17/2)
⇒ (42/2) - 20
⇒ 21 - 20
⇒ 1 ≠ 0
(5,5) is not a solution
When points are (0,17/8)
(5/2) × 0 - 4(17/8) + (17/2) = 0
⇒ - (17/2) + (17/2) = 0
⇒ 0 = 0
(0, 17/8) is a solution
When points are (3,4)
(5/2) × 3 - 4(4) + (17/2) = 0
⇒ 15/2 - 16 + (17/2) = 0
⇒ (15 + 17)/2 - 16 = 0
⇒ 32/2 - 16 = 0
⇒ 16 - 16 = 0
⇒ 0 = 0
(3,4) is a solution
When points are (1, 11/4)
(5/2) × 1 - 4 × (11/4) + 17/2 = 0
⇒ (5/2) - 11 + (17/2) = 0
⇒ (5 + 17)/2 - 11 = 0
⇒ 22/2 - 11 = 0
⇒ 11 - 11 = 0
⇒ 0 = 0
(1, 11/4) is a solution
∴ (5,5) is not a solution
