Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If $Δ=-\begin{vmatrix}x^n&x^{n+2}&x^{2n}\\1&x^p&p\\x^{n+5}&x^{p+6}&x^{2n+5}\end{vmatrix}=0$, then p is equal to

Options:

xn

(n+ 1)

either A or B

both A and B

Correct Answer:

both A and B

Explanation:

Elements in C1 and C3 become proportional for p = xn and in R1 and R3 become proportional for p = n + 1.

Hence (D) is the correct answer.