If Δ$$=$$−$$a2b00$$−$$a2b2b0$$−$$a=0$$ then

Correct option is 4a/b is a cube root of 8

Questions

If $Δ = |\begin{array}{ccc} - a & 2 b & 0 \\ 0 & - a & 2 b \\ 2 b & 0 & - a \end{array}| = 0$ then

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1/b is a cube root of unity.

a is one of the cube roots of unity

b is one of the cube roots of 8

a/b is a cube root of 8

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detailed solution

Correct option is D

Show Δ=−a3+8b3Thus, Δ=0⇒ab3=8⇒ a/b is a cube root of 8.

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If Δ=−a2b00−a2b2b0−a=0 then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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If $Δ = |\begin{array}{ccc} - a & 2 b & 0 \\ 0 & - a & 2 b \\ 2 b & 0 & - a \end{array}| = 0$ then