What is the area (in sq. units) of the triangle formed by the graphs o

1.	What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?1. 3 unit22. 2 unit23. 5 unit24. 6 unit2
Answer» Correct Answer - Option 1 : 3 unit² Given: 2x + 5y - 12 = 0 ------(1) x + y = 3 ------(2) y = 0 ------(3) Concept used: At x axis, y = 0 Area of triangle = (1/2) × Base × Height Calculations: ⇒ 2x + 5y - 12 = 0 ------(1) ⇒ x + y = 3 ------(2) By solving Equation (1) and (2) ⇒ x = 1 and y = 2 In equation (1) By putting y = 0 ⇒ (x, y) = (6, 0) In equation (2) by putting y = 0 ⇒ (x, y) = (3, 0) ⇒ Vertices of triangle are (1, 2) , (6, 0) and (3, 0) ⇒ Area of triangle = (1/2) × 3 × 2 ⇒ Area of triangle = 3 unit² ∴ The area of triangle is 3 unit2

What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?1. 3 unit22. 2 unit23. 5 unit24. 6 unit2

Answer» Correct Answer - Option 1 : 3 unit²

Given:

2x + 5y - 12 = 0 ------(1)

x + y = 3 ------(2)

y = 0 ------(3)

Concept used:

At x axis, y = 0

Area of triangle = (1/2) × Base × Height

Calculations:

⇒ 2x + 5y - 12 = 0 ------(1)

⇒ x + y = 3 ------(2)

By solving Equation (1) and (2)

⇒ x = 1 and y = 2

In equation (1) By putting y = 0

⇒ (x, y) = (6, 0)

In equation (2) by putting y = 0

⇒ (x, y) = (3, 0)

⇒ Vertices of triangle are (1, 2) , (6, 0) and (3, 0)

⇒ Area of triangle = (1/2) × 3 × 2

⇒ Area of triangle = 3 unit²

∴ The area of triangle is 3 unit2