What is vmatrix 1 a &bc&a^3 1 a + 1 b &c(a+b)&a^3+b^3 1 a + 1 b + 1 c &ab+bc+ca&a^3+b^3+c^3 vmatrix equal to?

NDA 2026 Mathematics question

What is \begin{vmatrix}\dfrac{1}{a}&bc&a^3\\ \dfrac{1}{a}+\dfrac{1}{b}&c(a+b)&a^3+b^3\\ \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}&ab+bc+ca&a^3+b^3+c^3\end{vmatrix} equal to?

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

Apply and then : the determinant becomes . Multiply by $a, b,

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-030408