Concept-wise Practice

irrational-zero MCQ Questions for Class 10

irrational-zero se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

3 questions tagged with irrational-zero.

यदि (p(x)=x-2-2\sqrt{5}x+5) है, तो इसके शून्यकों के बारे में सही कथन कौन सा है?

If (p(x)=x-2-2\sqrt{5}x+5), which statement about its zeroes is correct?

Explanation opens after your attempt
Correct Answer

A. दोनों शून्यक \(\sqrt{5}\) हैंBoth zeroes are \(\sqrt{5}\)

Step 1

Concept

This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.

Step 2

Why this answer is correct

The correct answer is A. दोनों शून्यक \(\sqrt{5}\) हैं / Both zeroes are \(\sqrt{5}\). This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.

Step 3

Exam Tip

यह बहुपद (\(x-\sqrt{5}\)2) के बराबर है। अतः \(\sqrt{5}\) दोहरा शून्यक है।

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वह एकघात बहुपद कौन सा है जिसका शून्यक \(2\sqrt{3}\) है?

Which linear polynomial has zero \(2\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. \(x-2\sqrt{3}\)

Step 1

Concept

A linear polynomial \(x-\alpha\) has zero \(\alpha\). Here \(\alpha=2\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(x-2\sqrt{3}\). A linear polynomial \(x-\alpha\) has zero \(\alpha\). Here \(\alpha=2\sqrt{3}\).

Step 3

Exam Tip

एकघात बहुपद \(x-\alpha\) का शून्यक \(\alpha\) होता है। यहाँ \(\alpha=2\sqrt{3}\) है।

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यदि किसी ग्राफ में (x)-अक्ष से प्रतिच्छेद (\(-\sqrt{3},0\)) है तो शून्यक क्या है?

If a graph has (x)-axis intersection (\(-\sqrt{3},0\)), what is the zero?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{3}\)

Step 1

Concept

A zero is the (x)-coordinate of the intercept. An irrational number can also be a zero.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{3}\). A zero is the (x)-coordinate of the intercept. An irrational number can also be a zero.

Step 3

Exam Tip

शून्यक प्रतिच्छेद का (x)-निर्देशांक होता है। अपरिमेय संख्या भी शून्यक हो सकती है।

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