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Draw the graphs of the lines x = -2 and y = 3. Write the vertices of the figure formed by these lines, the x-axis and the y-axis. Also, find the area of the figure

Solution:

The graph of x = -2 is a line parallel to the y-axis at a distance of 2 units to the left of it.

Hence,the line l is the graph of x = -2.

The graph of y = 3 is a line parallel to the x-axis at a distance of 3 units above it.

Hence, the line m is the graph of y = 3.

Draw the graphs of the lines x = -2 and y = 3. Write the vertices of the figure formed by these lines, the x-axis and the y-axis. Also, find the area of the figure

A is a point on the y-axis at a distance of 3 units above the x-axis.

Thus, the coordinates of A are (0, 3).

C is a point on the x-axis at a distance of 2 units to the left of the y-axis.

Thus, the coordinates of C are (-2, 0).

B is the solution of the pair of equations x = -2 and y = 3.

Thus, the coordinates of B are (-2, 3).

Hence,

The vertices of the rectangle OABC are O (0, 0), A (0, 3), B (-2, 3), C (-2, 0).

The length and breadth of this rectangle are 2 units and 3 units.

Area of a rectangle = length × breadth,

The area of rectangle OABC = 2 × 3

The area of rectangle OABC = 6 sq. units.

Therefore,the area of rectangle OABC = 2 × 3 = 6 sq. units.

✦ Try This: Draw the graphs of the lines x = -3 and y = 4. Write the vertices of the figure formed by these lines, the x-axis and the y-axis. Also, find the area of the figure

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.4 Sample Problem 1

Draw the graphs of the lines x = -2 and y = 3. Write the vertices of the figure formed by these lines, the x-axis and the y-axis. Also, find the area of the figure

Summary:

Drawing the graphs of the lines x = -2 and y = 3, the vertices of the rectangle OABC are O (0, 0), A (0, 3), B (-2, 3), C (-2, 0). The area of rectangle OABC = 2 × 3 = 6 sq. units.

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