(A) Given the conditions for set $A$:$1$) $x^2 = 16 \implies x = 4$ or $x = -4$.$2$) $2x = 6 \implies x = 3$.Since there is no value of $x$ that satis

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(A) Given the conditions for set $A$:$1$) $x^2 = 16 \implies x = 4$ or $x = -4$.$2$) $2x = 6 \implies x = 3$.Since there is no value of $x$ that satisfies both equations simultaneously,the intersection of these conditions is empty.Therefore,$A = \phi$.

Class 11 Mathematics Sets Basic of Set theory

Medium

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

A
$\phi$
B
$\{4, 3, -4\}$
C
$\{3\}$
D
$\{4\}$

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Class 11 Questions

Class 11

Mathematics Questions

Chapter

Sets

Subtopic

Basic of Set theory

Write the following set in the set-builder form: $\{ 5, 25, 125, 625 \}$

Easy

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State whether the following set is finite or infinite:
The set of letters in the English alphabet.

Easy

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Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$5 \dots A$

Easy

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If $Q = \{x : x = \frac{1}{y}, \text{ where } y \in N\}$,then which of the following is true?

Easy

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If a set $A$ has $n$ elements, then the total number of subsets of $A$ is

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The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

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Write the following set in the set-builder form: $\{ 5, 25, 125, 625 \}$

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