Question 46

For a real number $$\alpha$$, if the system $$\begin{bmatrix}1 & \alpha & \alpha^2 \\\alpha & 1 & \alpha\\\alpha^2 & \alpha & 1 \end{bmatrix}\begin{bmatrix}x\\y\\z \end{bmatrix} = \begin{bmatrix}1\\-1\\1 \end{bmatrix}$$ of linear equations, has infinitely many solutions, then $$1+ \alpha + \alpha^2 =$$

Correct Answer: 1

Create a FREE account and get:

Free JEE Advanced Previous Papers PDF
Take JEE Advanced paper tests

CAT Quant Questions | CAT Quantitative Ability

CAT Probability, Combinatorics Questions CAT Data Sufficiency Questions CAT Averages, Ratio and Proportion Questions CAT Quadratic Equations Questions CAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT Quant Based DI Questions CAT Truth Lie Concept Questions CAT Puzzles Questions CAT Data Interpretation Basics Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Para Summary Questions CAT Miscellaneous Questions CAT Vocabulary Questions CAT Para Jumbles Questions

Follow us on

Boost your Prep!

Download App