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Q.

The number of triangles that the four lines y=x+3, y=2x+3,  y=3x+2 and y+x=3 form is

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a

4

b

2

c

3

d

1

answer is C.

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Detailed Solution

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 and ACD can be formed
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