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Introduction To Euclid's Geometry

Question
CBSEENMA9002168

Shade the triangle formed by the graphs of 2x – y = 4, x + y = 2 and the y-axis. Write the coordinates of vertices of the triangle.

Solution

2x – y = 4
⇒ y = 2x – 4
Table of solutions

X

2

3

y

0

2

We plot the points (2, 0) and (3, 2) on a graph paper and join the same by a ruler to get the line which is the graph of the equation 2x – y = 4

x + y = 2
⇒ y = 2 – x
Table of solutions

X

2

0

y

0

2

We plot the points (2, 0) and (0, 2) on the same graph paper and join the same by a ruler to get the line which is the graph of the equation x + y = 2.

From graph, we see that the coordinates of the vertices of the triangle are (2, 0), (0, 2) and (0, –4). The triangle has been shaded.