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negative-power MCQ Questions for Class 10

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6 questions tagged with negative-power.

Question 1/6 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

निम्न में से कौन सा (y) में बहुपद नहीं है?

Which of the following is not a polynomial in (y)?

Explanation opens after your attempt
Correct Answer

D. \(y^2+\frac{4}{y}\)

Step 1

Concept

In \(y^2+\frac{4}{y}\), \(\frac{4}{y}=4y^{-1}\), so the power is negative. A variable with a negative power is not a polynomial.

Step 2

Why this answer is correct

The correct answer is D. \(y^2+\frac{4}{y}\). In \(y^2+\frac{4}{y}\), \(\frac{4}{y}=4y^{-1}\), so the power is negative. A variable with a negative power is not a polynomial.

Step 3

Exam Tip

\(y^2+\frac{4}{y}\) में \(\frac{4}{y}=4y^{-1}\) है इसलिए घात ऋणात्मक है। ऋणात्मक घात वाला चर बहुपद नहीं बनाता।

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Question 2/6 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा व्यंजक (x) में बहुपद नहीं है?

Which of the following expression is not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

D. \(x^2+\frac{4}{x}+1\)

Step 1

Concept

\(\frac{4}{x}=4x^{-1}\) has a negative power of the variable. In a polynomial, powers of the variable must be whole numbers.

Step 2

Why this answer is correct

The correct answer is D. \(x^2+\frac{4}{x}+1\). \(\frac{4}{x}=4x^{-1}\) has a negative power of the variable. In a polynomial, powers of the variable must be whole numbers.

Step 3

Exam Tip

\(\frac{4}{x}=4x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में चर की घातें पूर्ण संख्याएँ होनी चाहिए।

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Question 3/6 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

क्या \(2x^2+\frac{3}{x}+1\) (x) में बहुपद है?

Is \(2x^2+\frac{3}{x}+1\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. नहीं क्योंकि इसमें \(\frac{3}{x}\) हैNo because it has \(\frac{3}{x}\)

Step 1

Concept

\(\frac{3}{x}\) means \(3x^{-1}\), which is not allowed in a polynomial. Powers of the variable must be whole numbers.

Step 2

Why this answer is correct

The correct answer is B. नहीं क्योंकि इसमें \(\frac{3}{x}\) है / No because it has \(\frac{3}{x}\). \(\frac{3}{x}\) means \(3x^{-1}\), which is not allowed in a polynomial. Powers of the variable must be whole numbers.

Step 3

Exam Tip

\(\frac{3}{x}\) का अर्थ \(3x^{-1}\) है जो बहुपद में मान्य नहीं है। बहुपद में चर की घातें पूर्ण संख्याएँ होनी चाहिए।

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Question 4/6 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा व्यंजक बहुपद नहीं है क्योंकि चर हर में है?

Which expression is not a polynomial because the variable is in the denominator?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{x}+1\)

Step 1

Concept

\(\frac{3}{x}=3x^{-1}\), so the variable has a negative power. Therefore it is not a polynomial.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{3}{x}+1\). \(\frac{3}{x}=3x^{-1}\), so the variable has a negative power. Therefore it is not a polynomial.

Step 3

Exam Tip

\(\frac{3}{x}=3x^{-1}\) है और चर की घात ऋणात्मक है। इसलिए यह बहुपद नहीं है।

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Question 5/6 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा व्यंजक बहुपद नहीं है?

Which expression is not a polynomial?

Explanation opens after your attempt
Correct Answer

C. \(x^{-1}+4\)

Step 1

Concept

The term \(x^{-1}\) has a negative power of the variable, so it is not a polynomial. In exams, powers should be like \(0,1,2,\ldots\).

Step 2

Why this answer is correct

The correct answer is C. \(x^{-1}+4\). The term \(x^{-1}\) has a negative power of the variable, so it is not a polynomial. In exams, powers should be like \(0,1,2,\ldots\).

Step 3

Exam Tip

\(x^{-1}\) में चर की घात ऋणात्मक है इसलिए यह बहुपद नहीं है। परीक्षा में घातें \(0,1,2,\ldots\) जैसी होनी चाहिए।

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Question 6/6 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

कौन-सा विकल्प सामान्य द्विघात समीकरण नहीं है?

Which option is not a usual quadratic equation?

Explanation opens after your attempt
Correct Answer

C. \(\frac{1}{x^2}+x+2=0\)

Step 1

Concept

\(\frac{1}{x^2}=x^{-2}\), which is not polynomial form. A usual quadratic equation does not have a negative power of the variable.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{1}{x^2}+x+2=0\). \(\frac{1}{x^2}=x^{-2}\), which is not polynomial form. A usual quadratic equation does not have a negative power of the variable.

Step 3

Exam Tip

\(\frac{1}{x^2}=x^{-2}\) है, जो बहुपद रूप नहीं है। सामान्य द्विघात समीकरण में चर की ऋणात्मक घात नहीं होती।

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