Question

The area of the triangle formed by the lines 2x + 3y = 12, x – y – 1 = 0 and x = 0 (as shown in Fig. 3.23) , is
A. 7 sq. units
B. 7.5 sq. units
C. 6.5 sq. units
D. 6 sq. units

Answer 1

Step-by-step explanation:

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Question 17: The area of the triangle formed by the lines 2 x + 3 y = 12, x − y − 1 = 0 and x = 0 (as shown in Fig. 3.23), is (a) 7 sq. units (b) 7.5 sq. units (c) 6.5 sq. units (d) 6 sq. units

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Answer

The given equations of the side of a triangle are and .

We are to find the area of the triangle formed by these lines.

For 2x + 3y = 12,

We plot the points (0, 4) and (6, 0) and join them by a line.

For x - y - 1 = 0,

We plot the points (0, -1) and (1, 0) and join them by a line.

For x = 0,

We plot the points (0, 0) and (0, 4) and join them by a line.

Form the graph, the vertices of the triangle formed by the given lines are .

Therefore, area of triangle square units

Therefore, option (b) is the correct answer..

Answer 2

Answer:

(b) 7.5 sq. units is your correct answer