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The number of triangles that the four li...

The number of triangles that the four lines `y = x + 3, y = 2x + 3, y = 3x + 2,` and `y + x = 3` form is (a) 4 (b) 2 (c) 3 (d) 1

A

4

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
The lines y=x+3, y=2x+3 and y+x=3 are concurrent at (0,3).
Rough sketch of the lines is as shown in the figure.

From the figure, three triangles ABD, ABC nad ACD can be formed.
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