Concept-wise Practice

degree-three MCQ Questions for Class 9

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

Practice Questions

6 questions tagged with degree-three.

यदि (p(x)=\(a^2-4\)x-4+(a+2)x-3+5x+1) की घात ठीक (3) हो, तो (a) का मान क्या होगा?

If (p(x)=\(a^2-4\)x-4+(a+2)x-3+5x+1) has degree exactly (3), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

For degree (3), the \(x^4\) coefficient must be zero and the \(x^3\) coefficient must be non-zero. At (a=2), \(a^2-4=0\) and (a+2=4).

Step 2

Why this answer is correct

The correct answer is B. (2). For degree (3), the \(x^4\) coefficient must be zero and the \(x^3\) coefficient must be non-zero. At (a=2), \(a^2-4=0\) and (a+2=4).

Step 3

Exam Tip

घात (3) के लिए \(x^4\) का गुणांक शून्य और \(x^3\) का गुणांक अशून्य होना चाहिए। (a=2) पर \(a^2-4=0\) और (a+2=4) है।

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यदि (p(x)=2x-3+(h-5)x+4) की घात (3) है, तो (h) के बारे में क्या सही है?

If (p(x)=2x-3+(h-5)x+4) has degree (3), what is correct about (h)?

Explanation opens after your attempt
Correct Answer

B. कोई भी वास्तविक (h)Any real (h)

Step 1

Concept

The coefficient of \(x^3\) is always non-zero. Therefore, the degree remains (3) for every (h).

Step 2

Why this answer is correct

The correct answer is B. कोई भी वास्तविक (h) / Any real (h). The coefficient of \(x^3\) is always non-zero. Therefore, the degree remains (3) for every (h).

Step 3

Exam Tip

\(x^3\) का गुणांक (2) हमेशा अशून्य है। इसलिए घात (3) हर (h) के लिए रहेगी।

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यदि (p(x)=2x-3+(h-4)x-2+7) की घात (3) है, तो (h) के बारे में क्या सही है?

If (p(x)=2x-3+(h-4)x-2+7) has degree (3), what is correct about (h)?

Explanation opens after your attempt
Correct Answer

B. कोई भी वास्तविक (h)Any real (h)

Step 1

Concept

The coefficient of \(x^3\) is (2), which is never zero. So the degree remains (3) for every (h).

Step 2

Why this answer is correct

The correct answer is B. कोई भी वास्तविक (h) / Any real (h). The coefficient of \(x^3\) is (2), which is never zero. So the degree remains (3) for every (h).

Step 3

Exam Tip

\(x^3\) का गुणांक (2) है जो कभी शून्य नहीं होता। इसलिए घात (3) हर (h) के लिए रहेगी।

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किस व्यंजक की घात (3) है लेकिन उसमें \(x^2\) पद नहीं है?

Which expression has degree (3) but has no \(x^2\) term?

Explanation opens after your attempt
Correct Answer

A. \(x^3-5x+6\)

Step 1

Concept

In \(x^3-5x+6\), the highest power is (3) and the \(x^2\) term is absent. A missing term does not make a polynomial invalid.

Step 2

Why this answer is correct

The correct answer is A. \(x^3-5x+6\). In \(x^3-5x+6\), the highest power is (3) and the \(x^2\) term is absent. A missing term does not make a polynomial invalid.

Step 3

Exam Tip

\(x^3-5x+6\) में सबसे बड़ी घात (3) है और \(x^2\) पद अनुपस्थित है। अनुपस्थित पद बहुपद को अमान्य नहीं बनाता।

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किस बहुपद की घात (2) नहीं है?

Which polynomial does not have degree (2)?

Explanation opens after your attempt
Correct Answer

C. \(6x^3-x+5\)

Step 1

Concept

The highest power in \(6x^3-x+5\) is (3). Therefore, its degree is not (2).

Step 2

Why this answer is correct

The correct answer is C. \(6x^3-x+5\). The highest power in \(6x^3-x+5\) is (3). Therefore, its degree is not (2).

Step 3

Exam Tip

\(6x^3-x+5\) की सबसे बड़ी घात (3) है। इसलिए इसकी घात (2) नहीं है।

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कौन-सा व्यंजक घन बहुपद है?

Which expression is a cubic polynomial?

Explanation opens after your attempt
Correct Answer

A. \(2x^3-x+4\)

Step 1

Concept

A cubic polynomial has degree (3). In \(2x^3-x+4\), the highest power is (3).

Step 2

Why this answer is correct

The correct answer is A. \(2x^3-x+4\). A cubic polynomial has degree (3). In \(2x^3-x+4\), the highest power is (3).

Step 3

Exam Tip

घन बहुपद की घात (3) होती है। \(2x^3-x+4\) में सबसे बड़ी घात (3) है।

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