Q. 155.0( 2 Votes )

Show that the points (a + 5, a – 4), (a – 2, a + 3) and (a, a) do not lie on a straight line for any value of a.

Answer :

Given points are (a + 5, a – 4), (a – 2, a + 3) and (a, a)

To Prove: these points don’t lie on straight line for any value of a


So, we have to show that these points form a triangle.


Area of triangle:-




Applying R2 R2 – R1, we get




Applying R3 R3 – R1, we get




Now, expanding along third column, we get




Hence, given points form a triangle i.e. points do not lie on a straight line.


Hence Proved


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