यदि \(A\cap B=A\) और \(B\cap C=B\) है, तो \(A\cap C\) किसके बराबर होगा?

If \(A\cap B=A\) and \(B\cap C=B\), then what is \(A\cap C\) equal to?

Explanation opens after your attempt
Correct Answer

A. (A)

Step 1

Concept

First \(A\subseteq B\) and \(B\subseteq C\), so \(A\subseteq C\). Therefore, \(A\cap C=A\).

Step 2

Why this answer is correct

The correct answer is A. (A). First \(A\subseteq B\) and \(B\subseteq C\), so \(A\subseteq C\). Therefore, \(A\cap C=A\).

Step 3

Exam Tip

पहले \(A\subseteq B\) और \(B\subseteq C\) मिलता है, इसलिए \(A\subseteq C\)। अतः \(A\cap C=A\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A\cap B=A\) और \(B\cap C=B\) है, तो \(A\cap C\) किसके बराबर होगा? / If \(A\cap B=A\) and \(B\cap C=B\), then what is \(A\cap C\) equal to?

Correct Answer: A. (A). Explanation: पहले \(A\subseteq B\) और \(B\subseteq C\) मिलता है, इसलिए \(A\subseteq C\)। अतः \(A\cap C=A\) है। / First \(A\subseteq B\) and \(B\subseteq C\), so \(A\subseteq C\). Therefore, \(A\cap C=A\).

Which concept should I revise for this Mathematics MCQ?

First \(A\subseteq B\) and \(B\subseteq C\), so \(A\subseteq C\). Therefore, \(A\cap C=A\).

What exam hint can help solve this Mathematics question?

पहले \(A\subseteq B\) और \(B\subseteq C\) मिलता है, इसलिए \(A\subseteq C\)। अतः \(A\cap C=A\) है।