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NCERT Class 12- Mathematics: Exemplar Chapter β 4 Determinants Part 9
Question 16:
Show that the Ξ ABC is an isosceles triangle if the determinant
Answer:
We have,
i.e.. ,
Hence, ABC is an isosceles triangle.
Question 17:
Find if and show that
Answer:
We have,
And
And
Hence proved.
Question 18:
If , then find the value of . Using solve the system of linear equations .
Answer:
We have,
Now,
Also, we have the system of linear equations as
And
In the form of ,
We know that,