1
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Question

# The number of different straight lines that are formed with A (2,3), B(3,4), C(5,6), D(3,7) are

A

1

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B

0

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C

3

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D

4

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Solution

## The correct option is D 4 Given points are A (2,3), B(3,4), C(5,6), D(3,7) Equation of line ¯¯¯¯¯¯¯¯AB is x-y+1=0 C(5,6) lies on this line, but not D(3,7) ∴ 3 collinear points and one different point are given ∴ No. Of lines that are formed =4 Note: No. of lines that are formed with 'n' non-collinear = nC2 Out of 'n' points if 'p' points are collinear then no. of lines that are fromed = nC2−PC2+1

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