Concept-wise Practice

general-zeroes MCQ Questions for Class 10

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

Practice Questions

4 questions tagged with general-zeroes.

यदि (p(x)=x-2-2mx+\(m^2-3\)) है, तो इसके शून्यक किस रूप में होंगे?

If (p(x)=x-2-2mx+\(m^2-3\)), in what form will its zeroes be?

Explanation opens after your attempt
Correct Answer

A. \(m\pm\sqrt{3}\)

Step 1

Concept

The sum is (2m) and product is \(m^2-3\), matching \(m+\sqrt{3}\) and \(m-\sqrt{3}\). Even in general form, match sum and product.

Step 2

Why this answer is correct

The correct answer is A. \(m\pm\sqrt{3}\). The sum is (2m) and product is \(m^2-3\), matching \(m+\sqrt{3}\) and \(m-\sqrt{3}\). Even in general form, match sum and product.

Step 3

Exam Tip

योग (2m) और गुणनफल \(m^2-3\) है, जो \(m+\sqrt{3}\) और \(m-\sqrt{3}\) से मिलता है। सामान्य रूप में भी योग और गुणनफल मिलाएँ।

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यदि (p(x)) का ग्राफ (x)-अक्ष को ((u,0)), ((v,0)), और ((w,0)) पर काटता है, तो शून्यक कौन-से हैं?

If the graph of (p(x)) cuts the (x)-axis at ((u,0)), ((v,0)), and ((w,0)), what are the zeroes?

Explanation opens after your attempt
Correct Answer

A. (u), (v), (w)

Step 1

Concept

Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).

Step 2

Why this answer is correct

The correct answer is A. (u), (v), (w). Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).

Step 3

Exam Tip

शून्यक (x)-अक्ष कटावों के (x)-निर्देशांक होते हैं। इसलिए शून्यक (u), (v), और (w) हैं।

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यदि ग्राफ (x)-अक्ष को ((m,0)) और ((n,0)) पर काटता है, जहाँ \(m\neq n\), तो वास्तविक शून्यकों की संख्या क्या होगी?

If a graph cuts the (x)-axis at ((m,0)) and ((n,0)), where \(m\neq n\), how many real zeroes will it have?

Explanation opens after your attempt
Correct Answer

A. दोTwo

Step 1

Concept

Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).

Step 2

Why this answer is correct

The correct answer is A. दो / Two. Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).

Step 3

Exam Tip

दो अलग कटाव बिंदु दो अलग वास्तविक शून्यक देते हैं। यहाँ शून्यक (m) और (n) होंगे।

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यदि ग्राफ (x)-अक्ष को ((r,0)) और ((s,0)) पर काटता है, जहाँ \(r\neq s\), तो शून्यक क्या होंगे?

If a graph cuts the (x)-axis at ((r,0)) and ((s,0)), where \(r\neq s\), what are the zeroes?

Explanation opens after your attempt
Correct Answer

A. (r) और (s)(r) and (s)

Step 1

Concept

Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).

Step 2

Why this answer is correct

The correct answer is A. (r) और (s) / (r) and (s). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).

Step 3

Exam Tip

शून्यक (x)-अक्ष के कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (r) और (s) हैं।

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