Question

Assertion :$\left|\begin{array}{ccc}{a}^2+x^2& ab-cx& ac+bx\\ ab+cx& b^2+x^2& bc-ax\\ ac+bx& bc+ax& c^2+x^2\end{array}\right|={\left|\begin{array}{ccc}x& c& -b\\ -c& x& a\\ b& -a& x\end{array}\right|}^2$. Reason: ${\Delta }^C={\Delta }^{n-1}$, where n is order of determinant, and ${\Delta }^C$ is the determinant of cofactors of $\Delta$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion