If , then which one of the following is correct?

Question

Question

This question was previously asked in

NDA (Held On: 23 April 2017) Maths Previous Year paper

Attempt in App

Answer 1

Concept:

If then determinant of A is given by:

|A| = a₁₁ × {(a₂₂ × a₃₃) – (a₂₃ × a₃₂)} - a₁₂ × {(a₂₁ × a₃₃) – (a₂₃ × a₃₁)} + a₁₃ × {(a₂₁ × a₃₂) – (a₂₂ × a₃₁)}

Calculation:

Given:

Expanding along R₁, we get

⇒ x (x² – 0) – y (0 – y²) + 0 = 0

⇒ x³ + y³ = 0

Hence x/y is one of the cube roots of -1

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