NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 9

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Question 16:

Show that the Δ 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,