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The following question consist of two statements, one labelled as the 'Assertion (A)' and the other as 'Reason $(R)^{\prime} .$ You are to examine these two statements carefully and select the answer.
Assertion (A): $\left\{x \in R \mid x^{2} < 0\right\}$ is not a set. Here $R$ is the set ofreal numbers. Reason (R): For every real number $\mathrm{x}, \mathrm{x}^{2}>0 .$
Options:
Assertion (A): $\left\{x \in R \mid x^{2} < 0\right\}$ is not a set. Here $R$ is the set ofreal numbers. Reason (R): For every real number $\mathrm{x}, \mathrm{x}^{2}>0 .$
Solution:
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Verified Answer
The correct answer is:
Both A and $\mathbf{R}$ are individually true, and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$.
Since $x^{2} < 0$ is not possible for real numbers. A is true Since $x^{2}>0$ for $\forall x \in R$. Both $($ A $)$ and $(R)$ are true and
(R) is the correct explanation of ( $\mathrm{A}$ ).
(R) is the correct explanation of ( $\mathrm{A}$ ).
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