Determinants Matrices Question 69

Question: If $ x\ne 0 $ , $ y\ne 0 $ , $ z\ne 0 $ and , then $ {x^{-1}}+{y^{-1}}+{z^{-1}} $ is equal to

Options:

A) $ -1 $

B) $ -2 $

C) $ -3 $

D) none of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ =2xyz( 3+\frac{1}{x}+\frac{1}{y}+\frac{1}{z} ) $ Hence, the given equation gives $ {x^{-1}}+{y^{-1}}+{z^{-1}}=-3. $