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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
If $|\alpha^2| = 4$ and $-3 \le \lambda \le 2$, then the range of $|\lambda \alpha^2|$ is……
Solution
Given $|\alpha^2| = 4$ and $-3 \le \lambda \le 2$. Then $|\lambda \alpha^2| = 4|\lambda|$. Minimum value at $\lambda = 0$ → 0. Maximum value at $\lambda = -3$ → $4 \times 3 = 12$. Hence, range is $[0, 12]$. $\boxed{\text{Answer: (C) } [0, 12]}$Online Test Series, Information About Examination,
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