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NCERT Class 12- Mathematics: Exemplar Chapter β 4 Determinants Part 8
Question 12:
Find the value of ΞΈ satisfying
Answer:
We have,
Expanding along , we get
Now, we know that
But is not possible
Question 13:
If then find values of .
Answer:
Given,
Question 14:
If are in G. P. , then prove that the determinant is independent of r.
Answer:
We know that,
Where term of a First term of a GP and Common ratio of GP
We have
Question 15:
Show that the points , and do not lie on a straight line for any value of a.
Answer:
Given, the point are
Hence, given points form a triangle i.e.. points do not lie in a straight line.