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.
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