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Question

For what value of 'k' are the following points (7,-2), (5, 1), (3, k) collinear.


A

2

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B

5

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C

4

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D

6

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Solution

The correct option is C

4


The given three points will be collinear if the Δ formed by them has equal to zero area.
Let A(7, -2), B(5, 1) and C(3, k) be the vertices of a triangle
The given points will be collinear, if ar(ΔABC)=0
or 7(1k)+5(k+2)+3(21)=077k+5k+10+(6)3=0179+5k7k=082k=02k=8k=82=4
The required value of k=4


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