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absolute-input MCQ Questions for Class 11

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2 questions tagged with absolute-input.

Question 1/2 Expert Mathematics Relations and Functions Graphs of standard functions Class 11 Level 36

फलन (y=f(|x-1|)) के ग्राफ में सममिति किस रेखा के सापेक्ष होगी?

The graph of (y=f(|x-1|)) will be symmetric about which line?

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Correct Answer

A. (x=1)

Step 1

Concept

In (|x-1|), inputs at equal distance from (x=1) become equal. Hence the graph is symmetric about (x=1).

Step 2

Why this answer is correct

The correct answer is A. (x=1). In (|x-1|), inputs at equal distance from (x=1) become equal. Hence the graph is symmetric about (x=1).

Step 3

Exam Tip

(|x-1|) में (x=1) से समान दूरी वाले इनपुट समान होते हैं। इसलिए ग्राफ (x=1) के सापेक्ष सममित होता है।

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Question 2/2 Expert Mathematics Relations and Functions Graphs of standard functions Class 11 Level 35

फलन (y=f(|x|)) का ग्राफ (y=f(x)) से बनाते समय कौन सा भाग दोहराया जाता है?

When drawing (y=f(|x|)) from (y=f(x)), which part is repeated?

Explanation opens after your attempt
Correct Answer

A. दाईं ओर का भाग (y)-अक्ष में परावर्तित होता हैThe right-side part is reflected in the (y)-axis

Step 1

Concept

Because of (|x|), even for (x<0), the input to (f) is positive. Hence the right-side graph reflects to the left.

Step 2

Why this answer is correct

The correct answer is A. दाईं ओर का भाग (y)-अक्ष में परावर्तित होता है / The right-side part is reflected in the (y)-axis. Because of (|x|), even for (x<0), the input to (f) is positive. Hence the right-side graph reflects to the left.

Step 3

Exam Tip

(|x|) के कारण (x<0) पर भी (f) में धनात्मक इनपुट जाता है। इसलिए दाईं ओर का ग्राफ बाईं ओर परावर्तित होता है।

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