Concept-wise Practice

zero MCQ Questions for Class 10

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

Practice Questions

111 questions tagged with zero.

माया सभ्यता में शून्य के उपयोग का महत्व किस क्षेत्र से सबसे अधिक जुड़ा था?

The importance of the use of zero in Maya civilization was most connected with which field?

Explanation opens after your attempt
Correct Answer

A. गणना और कैलेंडरCalculation and calendar

Step 1

Concept

The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.

Step 2

Why this answer is correct

The correct answer is A. गणना और कैलेंडर / Calculation and calendar. The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.

Step 3

Exam Tip

माया गणना और समय मापन में शून्य का उपयोग करते थे। परीक्षा में माया को गणितीय उपलब्धि से जोड़ें।

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ब्रह्मगुप्त को भारतीय विज्ञान परंपरा में किस योगदान के लिए विशेष रूप से याद किया जाता है?

Brahmagupta is especially remembered in the Indian scientific tradition for which contribution?

Explanation opens after your attempt
Correct Answer

A. शून्य और गणितीय नियमों की व्याख्याExplanation of zero and mathematical rules

Step 1

Concept

Brahmagupta did important work on rules related to zero in mathematics. For exams, connect him with the Indian mathematical tradition.

Step 2

Why this answer is correct

The correct answer is A. शून्य और गणितीय नियमों की व्याख्या / Explanation of zero and mathematical rules. Brahmagupta did important work on rules related to zero in mathematics. For exams, connect him with the Indian mathematical tradition.

Step 3

Exam Tip

ब्रह्मगुप्त ने गणित में शून्य से जुड़े नियमों पर महत्वपूर्ण कार्य किया। परीक्षा में उन्हें भारतीय गणित परंपरा से जोड़ें।

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ब्रह्मगुप्त का शून्य संबंधी नियम किस क्षेत्र की उपलब्धि है?

Brahmagupta's rules related to zero are achievements of which field?

Explanation opens after your attempt
Correct Answer

A. गणितMathematics

Step 1

Concept

Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.

Step 2

Why this answer is correct

The correct answer is A. गणित / Mathematics. Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.

Step 3

Exam Tip

ब्रह्मगुप्त ने शून्य और संख्याओं पर महत्वपूर्ण गणितीय नियम दिए। परीक्षा में शून्य को भारतीय गणित की प्रमुख उपलब्धि से जोड़ें।

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संख्या रेखा पर (x=0) किस तरह की वास्तविक संख्या को दिखाता है?

On the number line, what type of real number does (x=0) show?

Explanation opens after your attempt
Correct Answer

A. न धनात्मक न ऋणात्मकNeither positive nor negative

Step 1

Concept

(0) is neither positive nor negative. In exams, identify (0) separately.

Step 2

Why this answer is correct

The correct answer is A. न धनात्मक न ऋणात्मक / Neither positive nor negative. (0) is neither positive nor negative. In exams, identify (0) separately.

Step 3

Exam Tip

(0) न धनात्मक होता है न ऋणात्मक। परीक्षा में (0) को अलग पहचानें।

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संख्या रेखा पर (0) किस प्रकार की संख्या को दर्शाता है?

What type of number does (0) represent on the number line?

Explanation opens after your attempt
Correct Answer

A. न धनात्मक न ऋणात्मकneither positive nor negative

Step 1

Concept

(0) is neither positive nor negative. It is treated as the origin on the number line.

Step 2

Why this answer is correct

The correct answer is A. न धनात्मक न ऋणात्मक / neither positive nor negative. (0) is neither positive nor negative. It is treated as the origin on the number line.

Step 3

Exam Tip

(0) न धनात्मक है और न ऋणात्मक। यह संख्या रेखा का मूल बिंदु माना जाता है।

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संख्या रेखा पर \(-\sqrt{3}\) किस ओर होगा?

On which side of the number line will \(-\sqrt{3}\) lie?

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Correct Answer

A. (0) के बाईं ओरleft of (0)

Step 1

Concept

\(-\sqrt{3}\) is negative, so it lies to the left of (0). Negative numbers are placed on the left side of the number line.

Step 2

Why this answer is correct

The correct answer is A. (0) के बाईं ओर / left of (0). \(-\sqrt{3}\) is negative, so it lies to the left of (0). Negative numbers are placed on the left side of the number line.

Step 3

Exam Tip

\(-\sqrt{3}\) ऋणात्मक संख्या है, इसलिए यह (0) के बाईं ओर होगी। ऋणात्मक संख्याएँ संख्या रेखा पर बाईं तरफ होती हैं।

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यदि (p(x)=x-5+ax-3+b) में (p(0)=0), तो कौन सा निष्कर्ष निश्चित है?

If (p(x)=x-5+ax-3+b) has (p(0)=0), which conclusion is certain?

Explanation opens after your attempt
Correct Answer

A. (b=0)

Step 1

Concept

(p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 2

Why this answer is correct

The correct answer is A. (b=0). (p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 3

Exam Tip

(p(0)=b) होता है, इसलिए (p(0)=0) से (b=0) निश्चित है। बाकी निष्कर्ष जरूरी नहीं हैं।

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(p(x)=16x-2-24x+9) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=16x-2-24x+9)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{4}\)

Step 1

Concept

(16x-2-24x+9=(4x-3)2), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{4}\). (16x-2-24x+9=(4x-3)2), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.

Step 3

Exam Tip

(16x-2-24x+9=(4x-3)2), इसलिए शून्य \(x=\frac{3}{4}\) है। पूर्ण वर्ग पहचानें।

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यदि (p(x)=x-2-49), तो (p(a)=0) होने के लिए कौन सा मान सही है?

If (p(x)=x-2-49), which value is correct for (p(a)=0)?

Explanation opens after your attempt
Correct Answer

C. (a=7)

Step 1

Concept

(p(7)=49-49=0). The zeros of \(x^2-49\) are (7) and (-7).

Step 2

Why this answer is correct

The correct answer is C. (a=7). (p(7)=49-49=0). The zeros of \(x^2-49\) are (7) and (-7).

Step 3

Exam Tip

(p(7)=49-49=0)। \(x^2-49\) के शून्य (7) और (-7) हैं।

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कौन सा विकल्प (p(x)=x-3-64) के लिए (p(4)=0) को सही सिद्ध करता है?

Which option correctly proves (p(4)=0) for (p(x)=x-3-64)?

Explanation opens after your attempt
Correct Answer

A. \(4^3-64=0\)

Step 1

Concept

(p(4)=43-64=64-64=0). To prove a zero, substitute the correct value in the correct place.

Step 2

Why this answer is correct

The correct answer is A. \(4^3-64=0\). (p(4)=43-64=64-64=0). To prove a zero, substitute the correct value in the correct place.

Step 3

Exam Tip

(p(4)=43-64=64-64=0)। शून्य सिद्ध करने के लिए सही मान को सही जगह रखें।

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(p(x)=x-4-10x-2+9) में (p(-3)) का मान क्या है?

What is the value of (p(-3)) in (p(x)=x-4-10x-2+9)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(-3)=81-90+9=0). Even powers of a negative number give positive results.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(-3)=81-90+9=0). Even powers of a negative number give positive results.

Step 3

Exam Tip

(p(-3)=81-90+9=0)। सम घातों में ऋणात्मक संख्या का परिणाम धनात्मक होता है।

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यदि (x=-3), बहुपद (p(x)=x-2+kx-18) का शून्य है, तो (k) क्या है?

If (x=-3) is a zero of (p(x)=x-2+kx-18), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

(p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (-3). (p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(-3)=9-3k-18=0), इसलिए (-3k=9) और (k=-3)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (p(x)=4x-12), तो इसका शून्यक क्या है?

If (p(x)=4x-12), what is its zero?

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Correct Answer

A. (3)

Step 1

Concept

From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is A. (3). From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(4x-12=0) से (x=3) मिलता है। शून्यक वह मान है जहाँ बहुपद का मान (0) हो।

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यदि (p(x)=x-3-2x-2-5x+6), तो (p(3)) का मान क्या है?

If (p(x)=x-3-2x-2-5x+6), what is the value of (p(3))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(3)=27-18-15+6=0). Therefore (3) is also a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(3)=27-18-15+6=0). Therefore (3) is also a zero of this polynomial.

Step 3

Exam Tip

(p(3)=27-18-15+6=0) है। इसलिए (3) भी इस बहुपद का शून्यक है।

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यदि (p(x)=x-4+ax-2+b) में (p(0)=0), तो कौन सा निष्कर्ष निश्चित है?

If (p(x)=x-4+ax-2+b) has (p(0)=0), which conclusion is certain?

Explanation opens after your attempt
Correct Answer

A. (b=0)

Step 1

Concept

(p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 2

Why this answer is correct

The correct answer is A. (b=0). (p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 3

Exam Tip

(p(0)=b) होता है, इसलिए (p(0)=0) से (b=0) निश्चित है। बाकी निष्कर्ष जरूरी नहीं हैं।

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(p(x)=9x-2+12x+4) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=9x-2+12x+4)?

Explanation opens after your attempt
Correct Answer

A. \(-\frac{2}{3}\)

Step 1

Concept

(9x-2+12x+4=(3x+2)2), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.

Step 2

Why this answer is correct

The correct answer is A. \(-\frac{2}{3}\). (9x-2+12x+4=(3x+2)2), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.

Step 3

Exam Tip

(9x-2+12x+4=(3x+2)2), इसलिए शून्य \(x=-\frac{2}{3}\) है। पूर्ण वर्ग पहचानें।

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यदि (p(x)=x-2-25), तो (p(a)=0) होने के लिए कौन सा मान सही है?

If (p(x)=x-2-25), which value is correct for (p(a)=0)?

Explanation opens after your attempt
Correct Answer

C. (a=5)

Step 1

Concept

(p(5)=25-25=0). The zeros of \(x^2-25\) are (5) and (-5).

Step 2

Why this answer is correct

The correct answer is C. (a=5). (p(5)=25-25=0). The zeros of \(x^2-25\) are (5) and (-5).

Step 3

Exam Tip

(p(5)=25-25=0)। \(x^2-25\) के शून्य (5) और (-5) हैं।

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(p(x)=x-3-x-2+x-1) के लिए (p(1)) क्या है?

What is (p(1)) for (p(x)=x-3-x-2+x-1)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

(p(1)=1-1+1-1=0). Add alternating signs in order.

Step 2

Why this answer is correct

The correct answer is B. (0). (p(1)=1-1+1-1=0). Add alternating signs in order.

Step 3

Exam Tip

(p(1)=1-1+1-1=0)। वैकल्पिक संकेतों को क्रम से जोड़ें।

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कौन सा विकल्प (p(x)=x-3+27) के लिए (p(-3)=0) को सही सिद्ध करता है?

Which option correctly proves (p(-3)=0) for (p(x)=x-3+27)?

Explanation opens after your attempt
Correct Answer

A. ((-3)3+27=0)

Step 1

Concept

(p(-3)=(-3)3+27=-27+27=0). To prove a zero, substitute the correct value in the correct place.

Step 2

Why this answer is correct

The correct answer is A. ((-3)3+27=0). (p(-3)=(-3)3+27=-27+27=0). To prove a zero, substitute the correct value in the correct place.

Step 3

Exam Tip

(p(-3)=(-3)3+27=-27+27=0)। शून्य सिद्ध करने के लिए सही मान को सही जगह रखें।

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(p(x)=x-4-5x-2+4) में (p(-2)) का मान क्या है?

What is the value of (p(-2)) in (p(x)=x-4-5x-2+4)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(-2)=16-20+4=0). Even powers of a negative number give positive results.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(-2)=16-20+4=0). Even powers of a negative number give positive results.

Step 3

Exam Tip

(p(-2)=16-20+4=0)। सम घातों में ऋणात्मक संख्या का परिणाम धनात्मक होता है।

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यदि (x=-2), बहुपद (p(x)=x-2+kx-8) का शून्य है, तो (k) क्या है?

If (x=-2) is a zero of (p(x)=x-2+kx-8), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

(p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-2). (p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(-2)=4-2k-8=0), इसलिए (-2k=4) और (k=-2)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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बहुपद \(x^3-4x^2+x+6\) में (x=2) रखने पर क्या निष्कर्ष निकलेगा?

What conclusion follows when (x=2) is substituted in \(x^3-4x^2+x+6\)?

Explanation opens after your attempt
Correct Answer

A. (2) शून्यक है(2) is a zero

Step 1

Concept

(p(2)=8-16+2+6=0), so (2) is a zero. Direct substitution is the quickest check.

Step 2

Why this answer is correct

The correct answer is A. (2) शून्यक है / (2) is a zero. (p(2)=8-16+2+6=0), so (2) is a zero. Direct substitution is the quickest check.

Step 3

Exam Tip

(p(2)=8-16+2+6=0) है इसलिए (2) शून्यक है। सीधे प्रतिस्थापन से जल्दी जांच होती है।

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यदि (p(x)=kx-2-5x+6) का एक शून्यक (2) है, तो (k) का मान क्या होगा?

If (2) is a zero of (p(x)=kx-2-5x+6), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).

Step 2

Why this answer is correct

The correct answer is A. (1). Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).

Step 3

Exam Tip

(p(2)=0) रखने पर (4k-10+6=0) से (k=1) मिलता है। शून्यक के लिए (p\(\alpha\)=0) लगाएं।

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यदि (p(x)=x-3+ax-2+bx) में (p(0)=0), तो इससे कौन सा निष्कर्ष निश्चित है?

If (p(x)=x-3+ax-2+bx) has (p(0)=0), which conclusion is certain?

Explanation opens after your attempt
Correct Answer

A. (0) इसका शून्य है(0) is its zero

Step 1

Concept

Since (p(0)=0), (0) is a zero of the polynomial. It does not fix the values of (a) or (b).

Step 2

Why this answer is correct

The correct answer is A. (0) इसका शून्य है / (0) is its zero. Since (p(0)=0), (0) is a zero of the polynomial. It does not fix the values of (a) or (b).

Step 3

Exam Tip

(p(0)=0) होने से (0) बहुपद का शून्य है। इससे (a) या (b) का मान निश्चित नहीं होता।

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(p(x)=4x-2-12x+9) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=4x-2-12x+9)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{2}\)

Step 1

Concept

(p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{3}{2}\). (p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.

Step 3

Exam Tip

(p\left\(\frac{3}{2}\right\)=9-18+9=0)। भिन्न मान रखते समय वर्ग और गुणा सही करें।

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यदि (p(x)=x-2-9), तो (p(a)=0) होने के लिए (a) का कौन सा मान सही है?

If (p(x)=x-2-9), which value of (a) is correct for (p(a)=0)?

Explanation opens after your attempt
Correct Answer

C. (a=3)

Step 1

Concept

(p(3)=9-9=0). The zeros of \(x^2-9\) are (3) and (-3).

Step 2

Why this answer is correct

The correct answer is C. (a=3). (p(3)=9-9=0). The zeros of \(x^2-9\) are (3) and (-3).

Step 3

Exam Tip

(p(3)=9-9=0)। \(x^2-9\) के शून्य (3) और (-3) हैं।

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(p(x)=x-3+x-2+x+1) के लिए (p(-1)) क्या है?

What is (p(-1)) for (p(x)=x-3+x-2+x+1)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

(p(-1)=-1+1-1+1=0). Add alternating signs in order.

Step 2

Why this answer is correct

The correct answer is B. (0). (p(-1)=-1+1-1+1=0). Add alternating signs in order.

Step 3

Exam Tip

(p(-1)=-1+1-1+1=0)। वैकल्पिक संकेतों को क्रम से जोड़ें।

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कौन सा विकल्प (p(x)=x-3-8) के लिए (p(2)=0) को सही सिद्ध करता है?

Which option correctly proves (p(2)=0) for (p(x)=x-3-8)?

Explanation opens after your attempt
Correct Answer

A. \(2^3-8=0\)

Step 1

Concept

(p(2)=23-8=8-8=0). To prove a zero, substitute the correct value in the correct place.

Step 2

Why this answer is correct

The correct answer is A. \(2^3-8=0\). (p(2)=23-8=8-8=0). To prove a zero, substitute the correct value in the correct place.

Step 3

Exam Tip

(p(2)=23-8=8-8=0)। शून्य सिद्ध करने के लिए सही मान को सही जगह रखें।

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(p(x)=x-4-2x-2+1) में (p(-1)) का मान क्या है?

What is the value of (p(-1)) in (p(x)=x-4-2x-2+1)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

(p(-1)=1-2+1=0). Even powers of a negative number become positive.

Step 2

Why this answer is correct

The correct answer is B. (0). (p(-1)=1-2+1=0). Even powers of a negative number become positive.

Step 3

Exam Tip

(p(-1)=1-2+1=0)। सम घातों में ऋणात्मक संख्या का मान धनात्मक हो जाता है।

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यदि (x=3), बहुपद (p(x)=x-2-kx+12) का शून्य है, तो (k) क्या है?

If (x=3) is a zero of (p(x)=x-2-kx+12), what is (k)?

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Correct Answer

C. (7)

Step 1

Concept

(p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is C. (7). (p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(3)=9-3k+12=0), इसलिए (21=3k) और (k=7)। शून्य की शर्त में बहुपद का मान (0) रखें।

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