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100 results found for "zero-property" in Class 10.

कौन सा बहुपद (x=0) को शून्य बनाता है लेकिन शून्य बहुपद नहीं है?

Which polynomial makes (x=0) a zero but is not the zero polynomial?

Explanation opens after your attempt
Correct Answer

B. \(4x^3-7x\)

Step 1

Concept

Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(4x^3-7x\). Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 3

Exam Tip

\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए।

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यदि (p(x)=2x-2+mx+18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=2x-2+mx+18) is (3), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 3

Exam Tip

गुणनफल \(\frac{18}{2}=9\) है। एक शून्यक (3) है, इसलिए दूसरा (3) होगा।

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यदि (p(x)=x-2+3x-18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2+3x-18) is (3), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. -(6)

Step 1

Concept

The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 2

Why this answer is correct

The correct answer is A. -(6). The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 3

Exam Tip

शून्यकों का गुणनफल (-18) है। एक शून्यक (3) है, इसलिए दूसरा \(-18\div3=-6\) है।

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यदि (p(x)=x-2-10x+r) का एक शून्यक (4) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2-10x+r) is (4), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 2

Why this answer is correct

The correct answer is A. (6). The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 3

Exam Tip

शून्यकों का योग (10) है। एक शून्यक (4) है, इसलिए दूसरा (10-4=6) है।

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यदि (p(x)=x-2-2x-2) का एक शून्यक \(1+\sqrt{3}\) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2-2x-2) is \(1+\sqrt{3}\), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. \(1-\sqrt{3}\)

Step 1

Concept

The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.

Step 2

Why this answer is correct

The correct answer is A. \(1-\sqrt{3}\). The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.

Step 3

Exam Tip

शून्यकों का योग (2) है, इसलिए दूसरा शून्यक (2-\(1+\sqrt{3}\)=1-\sqrt{3}) है। परिमेय गुणांकों में संयुग्मी भी मिलता है।

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यदि (p(x)=x-2-13x+k) का एक शून्यक (6) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-13x+k) has one zero (6), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((6,0)), ((7,0))Other (7), intersections ((6,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0)). In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (13) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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यदि परवलय का सममिति अक्ष (x=5) है और एक शून्यक (-1) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(x)=x-2-11x+k) का एक शून्यक (4) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-11x+k) has one zero (4), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((4,0)), ((7,0))Other (7), intersections ((4,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0)). In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (11) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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यदि परवलय का सममिति अक्ष (x=-2) है और एक शून्यक (5) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=-2) and one zero is (5), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।

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यदि (p(x)=x-2-9x+k) का एक शून्यक (4) है तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-9x+k) has one zero (4), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (5), कटान ((4,0)), ((5,0))Other (5), intersections ((4,0)), ((5,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0)). In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (9) है इसलिए दूसरा शून्यक (5) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (11) है और सममिति अक्ष (x=3) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (11) and axis of symmetry (x=3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=4) है और एक शून्यक (-2) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=4) and one zero is (-2). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।

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यदि (p(x)=x-2-7x+k) का एक शून्यक (3) है, तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-7x+k) has one zero (3), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (4), कटान ((3,0)), ((4,0))Other (4), intersections ((3,0)), ((4,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0)). In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (7) है, इसलिए दूसरा शून्यक (4) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (9) है और सममिति अक्ष (x=2) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (9) and axis of symmetry (x=2). What is the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=1) है और एक शून्यक (-5) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=1) and one zero is (-5). What will be the other zero?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(x)=x-2-5x+k) का एक शून्यक (2) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होगा?

If (p(x)=x-2-5x+k) has one zero (2), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (3), कटान ((2,0)), ((3,0))Other (3), intersections ((2,0)), ((3,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0)). In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (5) है, इसलिए दूसरा शून्यक (3) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (4) है और सममिति अक्ष (x=-1) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (4) and axis of symmetry (x=-1). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-6). The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (-1) है, इसलिए दूसरा शून्यक (-6) होगा। टिप: औसत को सममिति अक्ष के बराबर रखें।

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औपनिवेशिक भूमि बंदोबस्त में संपत्ति की नई परिभाषा क्यों विवादास्पद थी?

Why was the new definition of property in colonial land settlements controversial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि उसने कई सामुदायिक और परंपरागत अधिकारों को अनदेखा कियाBecause it ignored many community and customary rights

Step 1

Concept

Land settlements redefined ownership and revenue. For exams study land rights and tax system together.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि उसने कई सामुदायिक और परंपरागत अधिकारों को अनदेखा किया / Because it ignored many community and customary rights. Land settlements redefined ownership and revenue. For exams study land rights and tax system together.

Step 3

Exam Tip

भूमि बंदोबस्त ने स्वामित्व और राजस्व को नए ढंग से परिभाषित किया। परीक्षा में भूमि अधिकार और कर व्यवस्था साथ पढ़ें।

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फ्रांसीसी क्रांति में चर्च की संपत्ति जब्त करने का उद्देश्य क्या था?

What was the purpose of confiscating church property in the French Revolution?

Explanation opens after your attempt
Correct Answer

A. राज्य के वित्तीय संकट को कम करना और चर्च शक्ति घटानाTo reduce the state's financial crisis and weaken church power

Step 1

Concept

Confiscating church property related to financial crisis and control over institutional power. In exams, mention economic and political causes together.

Step 2

Why this answer is correct

The correct answer is A. राज्य के वित्तीय संकट को कम करना और चर्च शक्ति घटाना / To reduce the state's financial crisis and weaken church power. Confiscating church property related to financial crisis and control over institutional power. In exams, mention economic and political causes together.

Step 3

Exam Tip

चर्च संपत्ति जब्ती वित्तीय संकट और संस्थागत शक्ति नियंत्रण से जुड़ी थी। परीक्षा में आर्थिक और राजनीतिक कारण साथ लिखें।

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\(\sqrt{2}\) के प्रमाण में कौन-सा गुण सीधे (2) के अभाज्य होने से जुड़ा है?

Which property in the proof of \(\sqrt{2}\) is directly connected with (2) being prime?

Explanation opens after your attempt
Correct Answer

A. यदि \(2\mid p^2\), तो \(2\mid p\)If \(2\mid p^2\), then \(2\mid p\)

Step 1

Concept

(2) is a prime number.

Step 2

Why this answer is correct

If a prime factor divides \(p^2\), it must divide (p).

Step 3

Exam Tip

Writing this rule makes the proof logical. चरण 1: (2) अभाज्य संख्या है। चरण 2: अभाज्य गुणनखंड यदि \(p^2\) को भाग देता है, तो वह (p) को भी भाग देता है। चरण 3: इस नियम को लिखना प्रमाण को तार्किक बनाता है।

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नेपोलियन के शासन में संपत्ति के अधिकार की रक्षा का सामाजिक अर्थ क्या था?

What was the social meaning of protecting property rights under Napoleon?

Explanation opens after your attempt
Correct Answer

B. मध्यवर्ग और संपत्ति रखने वाले नागरिकों को कानूनी सुरक्षा देनाGiving legal security to the middle class and property owners

Step 1

Concept

Property rights became an important part of modern law.

Step 2

Why this answer is correct

This protected the middle class and property-owning citizens.

Step 3

Exam Tip

In exams, link it with liberal economic thinking. चरण 1: संपत्ति का अधिकार आधुनिक कानून का महत्त्वपूर्ण भाग बना। चरण 2: इससे मध्यवर्ग और संपत्ति रखने वालों को सुरक्षा मिली। चरण 3: परीक्षा में इसे उदार आर्थिक सोच से जोड़ें।

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नेपोलियन की संहिता में संपत्ति अधिकार को महत्व देने का अर्थ क्या था?

What did the importance given to property rights in the Napoleonic Code mean?

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Correct Answer

A. आधुनिक नागरिक अधिकार और आर्थिक स्वतंत्रता को मान्यताRecognition of modern civil rights and economic freedom

Step 1

Concept

Property rights were treated as an important part of modern civil life.

Step 2

Why this answer is correct

The Napoleonic Code gave them legal protection.

Step 3

Exam Tip

Connect this with civil law and economic activity. चरण 1: संपत्ति अधिकार आधुनिक नागरिक जीवन का महत्वपूर्ण भाग माना गया। चरण 2: नेपोलियन की संहिता ने उसे कानूनी सुरक्षा दी। चरण 3: इसे नागरिक कानून और आर्थिक गतिविधि से जोड़ें।

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नेपोलियन संहिता में संपत्ति अधिकार सुरक्षित करने का महत्व किस वर्ग के लिए विशेष रूप से अधिक था?

The protection of property rights in the Napoleonic Code was especially important for which group?

Explanation opens after your attempt
Correct Answer

A. मध्यवर्ग और संपत्ति धारकों के लिएMiddle class and property owners

Step 1

Concept

Property rights were linked with trade and private ownership.

Step 2

Why this answer is correct

This was very important for the middle class.

Step 3

Exam Tip

Connect it with the social impact of Napoleon’s legal reforms. चरण 1: संपत्ति अधिकार व्यापार और निजी स्वामित्व से जुड़ा था। चरण 2: मध्यवर्ग के लिए यह बहुत महत्वपूर्ण था। चरण 3: इसे नेपोलियन के कानूनी सुधारों के सामाजिक प्रभाव से जोड़ें।

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नेपोलियन संहिता ने संपत्ति के अधिकार के बारे में क्या किया?

What did the Napoleonic Code do regarding the right to property?

Explanation opens after your attempt
Correct Answer

A. संपत्ति के अधिकार को सुरक्षित कियाSecured the right to property

Step 1

Concept

The Napoleonic Code organized civil rights.

Step 2

Why this answer is correct

It secured the right to property.

Step 3

Exam Tip

Connect it with the middle class and the modern state. चरण 1: नेपोलियन संहिता ने नागरिक अधिकारों को व्यवस्थित किया। चरण 2: इसमें संपत्ति के अधिकार को सुरक्षित किया गया। चरण 3: इसे मध्यवर्ग और आधुनिक राज्य से जोड़कर समझें।

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उदार राष्ट्रवाद के संदर्भ में संपत्ति आधारित मताधिकार का अर्थ क्या था?

In the context of liberal nationalism what did property-based suffrage mean?

Explanation opens after your attempt
Correct Answer

A. राजनीतिक अधिकार संपत्ति रखने वाले पुरुषों तक सीमित रहेPolitical rights remained limited to property-owning men

Step 1

Concept

Suffrage was based on property.

Step 2

Why this answer is correct

This excluded propertyless men and women.

Step 3

Exam Tip

It shows the limited democratic nature of liberalism. चरण 1: मताधिकार का आधार संपत्ति था। चरण 2: इससे संपत्ति रहित पुरुष और महिलाएं बाहर रहीं। चरण 3: यह उदारवाद की सीमित लोकतांत्रिक प्रकृति दिखाता है।

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नए मध्य वर्ग के लिए निजी संपत्ति की सुरक्षा क्यों महत्वपूर्ण थी?

Why was protection of private property important for the new middle class?

Explanation opens after your attempt
Correct Answer

A. क्योंकि यह व्यापारियों उद्योगपतियों और संपत्ति रखने वालों के हित से जुड़ी थीBecause it was linked with the interests of merchants industrialists and property holders

Step 1

Concept

The property of the new middle class was linked with trade and industry.

Step 2

Why this answer is correct

Therefore they wanted legal protection of private property.

Step 3

Exam Tip

Understand this through the economic interests of liberalism. चरण 1: नए मध्य वर्ग की संपत्ति व्यापार और उद्योग से जुड़ी थी। चरण 2: इसलिए वे निजी संपत्ति की कानूनी सुरक्षा चाहते थे। चरण 3: इसे उदारवाद के आर्थिक हितों से जोड़कर समझें।

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संपत्ति वाले पुरुषों तक मताधिकार सीमित रखने से उदारवाद का कौन सा पक्ष सामने आता है?

What aspect of liberalism is shown by limiting suffrage to property-owning men?

Explanation opens after your attempt
Correct Answer

A. यह अधिकारों की मांग करता था पर सभी को समान राजनीतिक भागीदारी नहीं देता थाIt demanded rights but did not give equal political participation to all

Step 1

Concept

Look at the limitation of suffrage.

Step 2

Why this answer is correct

Liberalism used the language of rights but political participation remained limited.

Step 3

Exam Tip

In exams write this as a limitation of liberalism. चरण 1: मताधिकार की सीमा देखें। चरण 2: उदारवाद में अधिकारों की भाषा थी पर राजनीतिक भागीदारी सीमित रही। चरण 3: परीक्षा में इसे उदारवाद की सीमा के रूप में लिखें।

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यदि कोई समूह प्रतिनिधि शासन चाहता है पर मतदान केवल संपत्ति वालों तक सीमित रखता है तो यह किस ऐतिहासिक स्थिति से मेल खाता है?

If a group wants representative government but limits voting to property holders, which historical situation does this match?

Explanation opens after your attempt
Correct Answer

A. उन्नीसवीं सदी के सीमित उदारवाद सेNineteenth-century limited liberalism

Step 1

Concept

Liberals wanted representative government.

Step 2

Why this answer is correct

But suffrage was often limited to property-owning men.

Step 3

Exam Tip

Therefore this matches limited nineteenth-century liberalism. चरण 1: उदारवादी प्रतिनिधि शासन चाहते थे। चरण 2: पर मताधिकार अक्सर संपत्ति वाले पुरुषों तक सीमित था। चरण 3: इसलिए यह सीमित उदारवाद की ऐतिहासिक स्थिति है।

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संपत्ति आधारित मताधिकार उदारवाद की किस अंदरूनी विरोधाभास को दिखाता है?

Property-based suffrage shows which internal contradiction of liberalism?

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Correct Answer

A. समानता की भाषा और सीमित राजनीतिक अधिकारों का विरोधाभासThe contradiction between language of equality and limited political rights

Step 1

Concept

Liberalism spoke of equal rights.

Step 2

Why this answer is correct

Property-based suffrage excluded the poor and women.

Step 3

Exam Tip

Thus there was a contradiction between idea and practice. चरण 1: उदारवाद समान अधिकारों की बात करता था। चरण 2: संपत्ति आधारित मताधिकार ने गरीबों और महिलाओं को बाहर रखा। चरण 3: इसलिए विचार और व्यवहार में विरोधाभास था।

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संपत्ति आधारित मताधिकार किस वर्ग के राजनीतिक प्रभाव को बढ़ाता था?

Property-based suffrage increased the political influence of which group?

Explanation opens after your attempt
Correct Answer

A. संपन्न पुरुष मध्यम वर्गWealthy male middle class

Step 1

Concept

When voting is linked with property, property owners benefit.

Step 2

Why this answer is correct

This included wealthy male middle-class people.

Step 3

Exam Tip

Therefore their political influence increased. चरण 1: जब मतदान संपत्ति से जुड़ा हो तो संपत्ति वाले लोगों को लाभ मिलता है। चरण 2: इसमें संपन्न पुरुष मध्यम वर्ग शामिल था। चरण 3: इसलिए उनके राजनीतिक प्रभाव में वृद्धि हुई।

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उदारवादी विचारों में संपत्ति का मतदान अधिकार से संबंध क्यों विवादास्पद था?

Why was the link between property and voting rights controversial in liberal ideas?

Explanation opens after your attempt
Correct Answer

A. क्योंकि इससे गरीब और महिलाएँ राजनीतिक अधिकारों से बाहर रह सकते थेBecause it could exclude the poor and women from political rights

Step 1

Concept

Liberalism claimed equality.

Step 2

Why this answer is correct

Property-based suffrage excluded many people.

Step 3

Exam Tip

This made the system controversial. चरण 1: उदारवाद समानता का दावा करता था। चरण 2: संपत्ति आधारित मताधिकार ने कई लोगों को बाहर रखा। चरण 3: यही कारण था कि यह व्यवस्था विवादास्पद थी।

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उदार राष्ट्रवाद में निजी संपत्ति की सुरक्षा को क्यों महत्व दिया गया?

Why was protection of private property important in liberal nationalism?

Explanation opens after your attempt
Correct Answer

A. क्योंकि यह व्यापारी और संपत्ति वाले वर्गों के हित से जुड़ी थीBecause it was linked with the interests of merchants and property-owning classes

Step 1

Concept

Identify the class supporting liberalism.

Step 2

Why this answer is correct

Protection of private property mattered to the property-owning middle class.

Step 3

Exam Tip

Connect this with the economic and social thinking of liberalism. चरण 1: उदारवाद के समर्थक वर्ग को पहचानें। चरण 2: संपत्ति वाले मध्य वर्ग के लिए निजी संपत्ति की सुरक्षा जरूरी थी। चरण 3: इसे उदारवाद की आर्थिक और सामाजिक सोच से जोड़ें।

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कौन सा बहुपद (x=0) को शून्य बनाता है?

Which polynomial makes (x=0) a zero?

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Correct Answer

B. \(3x^3-2x\)

Step 1

Concept

Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^3-2x\). Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 3

Exam Tip

(x=0) रखने पर \(3x^3-2x=0\) मिलता है। (x=0) को शून्य बनाने के लिए अचर पद (0) होना चाहिए।

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यदि \(x^2+mx+n\) का एक शून्यक (0) है और दूसरा शून्यक (5) है, तो (m+n) क्या होगा?

If one zero of \(x^2+mx+n\) is (0) and the other zero is (5), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 3

Exam Tip

योग (5) है इसलिए (m=-5), और गुणनफल (0) है इसलिए (n=0)। अतः (m+n=-5)।

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कौन सा बहुपद (x=0) को शून्य नहीं बनाता?

Which polynomial does not make (x=0) a zero?

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Correct Answer

D. \(x^2+1\)

Step 1

Concept

On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 2

Why this answer is correct

The correct answer is D. \(x^2+1\). On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 3

Exam Tip

(x=0) रखने पर \(x^2+1=1\), इसलिए (0) इसका शून्य नहीं है। (x=0) पर अचर पद निर्णायक होता है।

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यदि किसी बहुपद का एक शून्यक \(\sqrt{11}\) है और गुणांक परिमेय हैं, तो कौन सा शून्यक भी होना चाहिए?

If one zero of a polynomial is \(\sqrt{11}\) and the coefficients are rational, which zero should also occur?

Explanation opens after your attempt
Correct Answer

A. -\(\sqrt{11}\)

Step 1

Concept

The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).

Step 2

Why this answer is correct

The correct answer is A. -\(\sqrt{11}\). The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).

Step 3

Exam Tip

\(\sqrt{11}=0+\sqrt{11}\) का संयुग्मी \(-\sqrt{11}\) है। परीक्षा में (a=0) वाला संयुग्मी भी पहचानें।

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यदि \(2+\sqrt{3}\) एक बहुपद \(x^2-4x+1\) का शून्यक है, तो दूसरा शून्यक क्या होगा?

If \(2+\sqrt{3}\) is a zero of the polynomial \(x^2-4x+1\), what is the other zero?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.

Step 2

Why this answer is correct

The correct answer is A. \(2-\sqrt{3}\). For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.

Step 3

Exam Tip

परिमेय गुणांकों वाले द्विघात में \(a+\sqrt{b}\) के साथ \(a-\sqrt{b}\) भी शून्यक होता है। परीक्षा में संयुग्मी मूल का नियम उपयोगी है।

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यदि (p(x)=x-2-2kx+5) का एक शून्यक \(\sqrt{5}\) है, तो दूसरा शून्यक और (k) क्या होंगे?

If one zero of (p(x)=x-2-2kx+5) is \(\sqrt{5}\), what will be the other zero and (k)?

Explanation opens after your attempt
Correct Answer

A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\)Other \(\sqrt{5}\), \(k=\sqrt{5}\)

Step 1

Concept

The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\) / Other \(\sqrt{5}\), \(k=\sqrt{5}\). The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).

Step 3

Exam Tip

गुणनफल (5) है, इसलिए दूसरा शून्यक \(\frac{5}{\sqrt{5}}=\sqrt{5}\) होगा। योग \(2\sqrt{5}=2k\), अतः \(k=\sqrt{5}\) है।

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किसी परवलय का एक शून्यक (-10) है और दूसरा शून्यक पहले से (18) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-10), and the other zero is (18) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-1)

Step 1

Concept

The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-1). The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (8) है और औसत \(\frac{-10+8}{2}=-1\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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किसी परवलय का एक शून्यक (-8) है और दूसरा शून्यक पहले से (12) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-8), and the other zero is (12) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-2)

Step 1

Concept

The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-2). The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (4) है और औसत \(\frac{-8+4}{2}=-2\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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किसी परवलय का सममिति अक्ष (x=2) है और एक शून्यक (-3) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=2) and one zero is (-3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 2

Why this answer is correct

The correct answer is A. (7). The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (2) होगा, इसलिए दूसरा शून्यक (7) है। टिप: परवलय में सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?

If (p(-3)=0), which value is a zero of the polynomial?

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Correct Answer

A. (-3)

Step 1

Concept

The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (-3). The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 3

Exam Tip

जिस (x)-मान पर (p(x)=0) हो वही शून्यक होता है। इसलिए (-3) बहुपद का शून्यक है।

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किसी बहुपद के ग्राफ पर शून्यक पहचानने के लिए कौन-सा मान शून्य होना चाहिए?

Which value must be zero to identify a zero on the graph of a polynomial?

Explanation opens after your attempt
Correct Answer

A. बहुपद का मानValue of the polynomial

Step 1

Concept

At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 2

Why this answer is correct

The correct answer is A. बहुपद का मान / Value of the polynomial. At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 3

Exam Tip

शून्यक पर बहुपद का मान (0) होता है। ग्राफ पढ़ते समय (y=0) वाले बिंदु देखें।

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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?

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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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किस प्राचीन सभ्यता में शून्य की अवधारणा का उन्नत उपयोग माया कैलेंडर में दिखता है?

In which ancient civilization is an advanced use of zero seen in the Maya calendar?

Explanation opens after your attempt
Correct Answer

A. मायाMaya

Step 1

Concept

Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.

Step 2

Why this answer is correct

The correct answer is A. माया / Maya. Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.

Step 3

Exam Tip

माया सभ्यता में गणना और कैलेंडर प्रणाली उन्नत थी। परीक्षा में इसे खगोल ज्ञान 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 (r(x)=4x+6) का शून्यक किस अंतराल में होगा?

In which interval will the zero of (r(x)=4x+6) lie on the number line?

Explanation opens after your attempt
Correct Answer

A. (-2) और (-1)(-2) and (-1)

Step 1

Concept

From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 2

Why this answer is correct

The correct answer is A. (-2) और (-1) / (-2) and (-1). From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 3

Exam Tip

(4x+6=0) से \(x=-\frac{3}{2}\), जो (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का अंतराल सावधानी से पहचानें।

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बहुपद (q(x)=3x-7) का शून्यक संख्या रेखा पर किस दो पूर्णांकों के बीच होगा?

Between which two integers will the zero of (q(x)=3x-7) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (2) और (3)(2) and (3)

Step 1

Concept

From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.

Step 2

Why this answer is correct

The correct answer is B. (2) और (3) / (2) and (3). From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.

Step 3

Exam Tip

(3x-7=0) से \(x=\frac{7}{3}\), जो (2) और (3) के बीच है। परीक्षा में पहले शून्यक निकालें फिर स्थान तय करें।

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संख्या रेखा पर (p(x)=2x+5) का शून्यक किस बिंदु पर होगा?

At which point will the zero of (p(x)=2x+5) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (-2.5)

Step 1

Concept

From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.

Step 2

Why this answer is correct

The correct answer is B. (-2.5). From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.

Step 3

Exam Tip

(2x+5=0) से \(x=-\frac{5}{2}=-2.5\) मिलता है। परीक्षा में शून्यक निकालकर उसे वास्तविक संख्या की तरह रखें।

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संख्या रेखा पर (u(x)=6x-18) का शून्यक किस बिंदु पर होगा?

At which point will the zero of (u(x)=6x-18) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 2

Why this answer is correct

The correct answer is B. (3). From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 3

Exam Tip

(6x-18=0) से (x=3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर सही बिंदु पर रखें।

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संख्या रेखा पर (p(x)=x) का शून्यक कौन सा है?

What is the zero of (p(x)=x) on the number line?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is B. (0). For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(p(x)=x) में (x=0) रखने पर (p(x)=0) होता है। परीक्षा में शून्यक वह मान है जहां बहुपद का मान (0) हो।

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यदि बहुपद का शून्यक (-5) है, तो संख्या रेखा पर वह किस दिशा में होगा?

If the zero of a polynomial is (-5), in which direction will it lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (0) के बाईं ओरTo the left of (0)

Step 1

Concept

The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.

Step 2

Why this answer is correct

The correct answer is B. (0) के बाईं ओर / To the left of (0). The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.

Step 3

Exam Tip

शून्यक (-5) ऋणात्मक है इसलिए वह (0) के बाईं ओर होगा। परीक्षा में शून्यक का चिह्न उसकी दिशा बताता है।

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बहुपद (q(x)=x-8) का शून्यक संख्या रेखा पर किस बिंदु पर होगा?

At which point will the zero of the polynomial (q(x)=x-8) lie on the number line?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).

Step 2

Why this answer is correct

The correct answer is C. (8). From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).

Step 3

Exam Tip

(x-8=0) से (x=8) मिलता है। परीक्षा में (x-a) का शून्यक (a) होता है।

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संख्या रेखा पर (p(x)=x+3) के शून्यक को कहां दर्शाया जाएगा?

Where will the zero of (p(x)=x+3) be represented on the number line?

Explanation opens after your attempt
Correct Answer

B. (-3) परAt (-3)

Step 1

Concept

From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.

Step 2

Why this answer is correct

The correct answer is B. (-3) पर / At (-3). From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.

Step 3

Exam Tip

(x+3=0) से (x=-3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर बिंदु की तरह दिखाएं।

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यदि (p(x)=x-3-2x-2-13x-10) है, तो इनमें से कौन (p(x)) का शून्यक है?

If (p(x)=x-3-2x-2-13x-10), which of the following is a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

D. -(2)

Step 1

Concept

(p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.

Step 2

Why this answer is correct

The correct answer is D. -(2). (p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.

Step 3

Exam Tip

(p(-2)=-8-8+26-10=0), इसलिए (-2) शून्यक है। विकल्पों में दिए छोटे मानों को सीधे रखकर जाँचें।

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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 (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 (x=0), (p(x)=7x-3-2x) का शून्यक है, तो कारण क्या है?

If (x=0) is a zero of (p(x)=7x-3-2x), what is the reason?

Explanation opens after your attempt
Correct Answer

A. हर पद में (x) गुणनखंड हैEvery term has factor (x)

Step 1

Concept

(p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.

Step 2

Why this answer is correct

The correct answer is A. हर पद में (x) गुणनखंड है / Every term has factor (x). (p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.

Step 3

Exam Tip

(p(x)=x\(7x^2-2\)), इसलिए (x=0) पर मान (0) होता है। यदि हर पद में (x) हो, तो (0) शून्यक होता है।

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

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

Explanation opens after your attempt
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)=ax+b) और \(a\neq0\), तो इसका शून्यक क्या है?

If (p(x)=ax+b) and \(a\neq0\), what is its zero?

Explanation opens after your attempt
Correct Answer

A. -\(\frac{b}{a}\)

Step 1

Concept

Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 2

Why this answer is correct

The correct answer is A. -\(\frac{b}{a}\). Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 3

Exam Tip

(ax+b=0) रखने पर \(x=-\frac{b}{a}\) मिलता है। रेखीय बहुपद में केवल एक शून्यक होता है।

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कौन-सा कथन सही है: (p(x)=0) जहाँ (p(x)) शून्य बहुपद है?

Which statement is correct for (p(x)=0), where (p(x)) is the zero polynomial?

Explanation opens after your attempt
Correct Answer

A. इसकी घात परिभाषित नहीं होतीIts degree is not defined

Step 1

Concept

The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is A. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

शून्य बहुपद में कोई अशून्य पद नहीं होता, इसलिए उसकी घात परिभाषित नहीं होती। स्थिर अशून्य बहुपद की घात (0) होती है।

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यदि (p(x)=x-3-4x-2+x+6), तो इनमें से कौन (p(x)) का शून्यक है?

If (p(x)=x-3-4x-2+x+6), which of these is a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

(p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.

Step 2

Why this answer is correct

The correct answer is A. (2). (p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.

Step 3

Exam Tip

(p(2)=8-16+2+6=0), इसलिए (2) शून्यक है। विकल्पों में छोटे पूर्णांकों को पहले जाँचें।

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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 (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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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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(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 (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)?

Explanation opens after your attempt
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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यदि (p(x)=ax-2+4x-12) और (x=2) इसका शून्य है, तो (a) क्या होगा?

If (p(x)=ax-2+4x-12) and (x=2) is its zero, what is (a)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (1). (p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(2)=4a+8-12=0), इसलिए (4a=4) और (a=1)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (p(x)=cx+d) और \(c\ne0\), तो इसका शून्य क्या होगा?

If (p(x)=cx+d) and \(c\ne0\), what will be its zero?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{d}{c}\)

Step 1

Concept

From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{d}{c}\). From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 3

Exam Tip

(cx+d=0) से \(x=-\frac{d}{c}\) मिलता है। सूत्र में ऋण चिह्न ध्यान रखें।

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(p(x)=4x+20) का शून्य कौन सा है?

Which is the zero of (p(x)=4x+20)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-5). From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 3

Exam Tip

(4x+20=0) से (x=-5) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।

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(p(x)=9x-27) का शून्य क्या है?

What is the zero of (p(x)=9x-27)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 2

Why this answer is correct

The correct answer is B. (3). From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 3

Exam Tip

(9x-27=0) से (x=3) मिलता है। रैखिक बहुपद का शून्य समीकरण हल करके निकालें।

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किस मान के लिए \(x^2-6x+m\) में (x=2) शून्य होगा?

For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (8). (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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(x=-3) किस बहुपद का शून्य है?

For which polynomial is (x=-3) a zero?

Explanation opens after your attempt
Correct Answer

A. (p(x)=x+3)

Step 1

Concept

(p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 2

Why this answer is correct

The correct answer is A. (p(x)=x+3). (p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 3

Exam Tip

(p(-3)=-3+3=0), इसलिए (x=-3) इसका शून्य है। शून्य जांचने के लिए मान रखकर परिणाम (0) देखें।

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निम्न में से कौन सा कथन शून्य बहुपद के लिए सही है?

Which statement is correct for the zero polynomial?

Explanation opens after your attempt
Correct Answer

C. इसकी घात परिभाषित नहीं होतीIts degree is not defined

Step 1

Concept

The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is C. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। गैर-शून्य नियत बहुपद की घात (0) होती है।

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यदि (p(x)=x-2+px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?

If (4) is a zero of (p(x)=x-2+px+16), what is the value of (p)?

Explanation opens after your attempt
Correct Answer

A. (-8)

Step 1

Concept

\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 2

Why this answer is correct

The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 3

Exam Tip

\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।

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यदि (p(x)=x-2-9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?

If (p(x)=x-2-9), which number is not a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

(p(0)=02-9=-9), which is not (0). So (0) is not a zero.

Step 2

Why this answer is correct

The correct answer is C. (0). (p(0)=02-9=-9), which is not (0). So (0) is not a zero.

Step 3

Exam Tip

(p(0)=02-9=-9) है जो (0) नहीं है। इसलिए (0) शून्य नहीं है।

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

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

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 3

Exam Tip

(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।

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यदि (f(x)=x-2+2x-8), तो निम्न में से कौन (f(x)) का शून्य है?

If (f(x)=x-2+2x-8), which of the following is a zero of (f(x))?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 3

Exam Tip

(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है।

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यदि (p(x)=3x-2+bx-10) में (x=2) एक शून्य है, तो (b) का मान क्या होगा?

If (x=2) is a zero of (p(x)=3x-2+bx-10), what will be the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (-1)

Step 1

Concept

(p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (-1). (p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(2)=12+2b-10=0), इसलिए (2b=-2) और (b=-1)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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(p(x)=x+9) का शून्य क्या है?

What is the zero of (p(x)=x+9)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Step 1

Concept

Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).

Step 2

Why this answer is correct

The correct answer is B. (-9). Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).

Step 3

Exam Tip

(x+9=0) करने पर (x=-9) मिलता है। (x+a) का शून्य (-a) होता है।

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यदि (p(x)=ax+b) और \(a\ne0\), तो इसका शून्य क्या होगा?

If (p(x)=ax+b) and \(a\ne0\), what will be its zero?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{b}{a}\)

Step 1

Concept

From (ax+b=0), we get \(x=-\frac{b}{a}\). Remember the general formula but do not miss the sign.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{b}{a}\). From (ax+b=0), we get \(x=-\frac{b}{a}\). Remember the general formula but do not miss the sign.

Step 3

Exam Tip

(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। सामान्य सूत्र याद रखें लेकिन संकेत न भूलें।

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(p(x)=3x+12) का शून्य कौन सा है?

Which is the zero of (p(x)=3x+12)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).

Step 3

Exam Tip

(3x+12=0) से (x=-4) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।

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(p(x)=7x-14) का शून्य क्या है?

What is the zero of (p(x)=7x-14)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 3

Exam Tip

(7x-14=0) से (x=2) मिलता है। रैखिक बहुपद का शून्य जल्दी निकालने के लिए समीकरण हल करें।

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किस मान के लिए \(x^2-4x+m\) में (x=1) शून्य होगा?

For what value of (m) will (x=1) be a zero of \(x^2-4x+m\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

(1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is C. (3). (1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(1-4+m=0), इसलिए (m=3)। शून्य मिलने पर बहुपद का मान (0) रखें।

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(x=2) किस बहुपद का शून्य है?

For which polynomial is (x=2) a zero?

Explanation opens after your attempt
Correct Answer

A. (p(x)=x-2)

Step 1

Concept

(p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).

Step 2

Why this answer is correct

The correct answer is A. (p(x)=x-2). (p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).

Step 3

Exam Tip

(p(2)=2-2=0), इसलिए (x=2) इसका शून्य है। शून्य जांचने के लिए मान रखकर (0) देखें।

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(p(x)=x-6) का शून्य क्या है?

What is the zero of (p(x)=x-6)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).

Step 2

Why this answer is correct

The correct answer is A. (6). Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).

Step 3

Exam Tip

(x-6=0) करने पर (x=6) आता है। (x-a) का शून्य (a) होता है।

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\(4x^2+0x+9\) में कितने शून्य गुणांक वाले पद को स्पष्ट लिखा गया है?

How many terms with zero coefficient are explicitly written in \(4x^2+0x+9\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

(0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.

Step 2

Why this answer is correct

The correct answer is B. (1). (0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.

Step 3

Exam Tip

(0x) एक ऐसा पद है जिसका गुणांक (0) है। शून्य गुणांक वाला पद लिखने पर भी मान नहीं बदलता।

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शून्य बहुपद (0) की घात के बारे में सही कथन कौन सा है?

Which statement about the degree of the zero polynomial (0) is correct?

Explanation opens after your attempt
Correct Answer

C. घात परिभाषित नहीं हैDegree is not defined

Step 1

Concept

The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is C. घात परिभाषित नहीं है / Degree is not defined. The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। इसे गैर-शून्य नियत बहुपद से अलग याद रखें।

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बहुपद \(x^2-9\) का कौन सा मान शून्यक है?

Which value is a zero of the polynomial \(x^2-9\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.

Step 2

Why this answer is correct

The correct answer is B. (3). \(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.

Step 3

Exam Tip

\(3^2-9=0\), इसलिए (3) शून्यक है। विकल्पों को रखकर जांचना आसान तरीका है।

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(p(x)=5x+10) का शून्यक कौन सा है?

Which is the zero of (p(x)=5x+10)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

From (5x+10=0), we get (x=-2). Do not forget the sign change.

Step 2

Why this answer is correct

The correct answer is B. (-2). From (5x+10=0), we get (x=-2). Do not forget the sign change.

Step 3

Exam Tip

(5x+10=0) से (x=-2) मिलता है। चिह्न बदलना न भूलें।

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यदि (p(x)=3x-12) है, तो इसका शून्यक क्या है?

If (p(x)=3x-12), what is its zero?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

From (3x-12=0), we get (x=4). For a linear polynomial, form a simple equation.

Step 2

Why this answer is correct

The correct answer is B. (4). From (3x-12=0), we get (x=4). For a linear polynomial, form a simple equation.

Step 3

Exam Tip

(3x-12=0) से (x=4) मिलता है। रैखिक बहुपद में सीधे समीकरण बनाएं।

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कौन सा मान (p(x)=x+4) का शून्यक है?

Which value is a zero of (p(x)=x+4)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

(p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).

Step 2

Why this answer is correct

The correct answer is B. (-4). (p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).

Step 3

Exam Tip

(p(-4)=-4+4=0), इसलिए (-4) शून्यक है। रैखिक बहुपद (x+a) का शून्यक (-a) होता है।

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निम्न में से कौन सा शून्य बहुपद है?

Which of the following is the zero polynomial?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(0) is the zero polynomial because every coefficient is zero. Do not apply the usual degree rule to it.

Step 2

Why this answer is correct

The correct answer is A. (0). (0) is the zero polynomial because every coefficient is zero. Do not apply the usual degree rule to it.

Step 3

Exam Tip

(0) को शून्य बहुपद कहते हैं क्योंकि इसका हर गुणांक शून्य होता है। इसकी घात पर सामान्य घात नियम न लगाएं।

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यदि ((x-6)(x-13)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-6)(x-13)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=6,13)

Step 1

Concept

((x-6)=0) or ((x-13)=0), so (x=6) or (x=13). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=6,13). ((x-6)=0) or ((x-13)=0), so (x=6) or (x=13). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-6)=0) या ((x-13)=0), इसलिए (x=6) या (x=13) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-5)(x-11)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-5)(x-11)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=5,11)

Step 1

Concept

((x-5)=0) or ((x-11)=0), so (x=5) or (x=11). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=5,11). ((x-5)=0) or ((x-11)=0), so (x=5) or (x=11). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-5)=0) या ((x-11)=0), इसलिए (x=5) या (x=11) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-4)(x-9)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-4)(x-9)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=4,9)

Step 1

Concept

((x-4)=0) or ((x-9)=0), so (x=4) or (x=9). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=4,9). ((x-4)=0) or ((x-9)=0), so (x=4) or (x=9). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-4)=0) या ((x-9)=0), इसलिए (x=4) या (x=9) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-3)(x-7)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-3)(x-7)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=3,7)

Step 1

Concept

((x-3)=0) or ((x-7)=0), so (x=3) or (x=7). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=3,7). ((x-3)=0) or ((x-7)=0), so (x=3) or (x=7). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-3)=0) या ((x-7)=0), इसलिए (x=3) या (x=7) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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शून्य गुणनफल नियम से ((x-9)(x+2)=0) के मूल क्या हैं?

Using zero product rule, what are the roots of ((x-9)(x+2)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=9,-2)

Step 1

Concept

((x-9)=0) or ((x+2)=0), so (x=9) or (x=-2). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=9,-2). ((x-9)=0) or ((x+2)=0), so (x=9) or (x=-2). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-9)=0) या ((x+2)=0), इसलिए (x=9) या (x=-2) है। परीक्षा में हर गुणनखंड को अलग-अलग शून्य रखें।

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शून्य गुणनफल नियम से ((x-7)(x+1)=0) के मूल क्या हैं?

Using zero product rule, what are the roots of ((x-7)(x+1)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=7,-1)

Step 1

Concept

((x-7)=0) or ((x+1)=0), so (x=7) or (x=-1). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=7,-1). ((x-7)=0) or ((x+1)=0), so (x=7) or (x=-1). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-7)=0) या ((x+1)=0), इसलिए (x=7) या (x=-1) है। परीक्षा में हर गुणनखंड को अलग से शून्य रखें।

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शून्य गुणनफल नियम से (x(x-4)=0) के हल क्या हैं?

Using zero product rule, what are the solutions of (x(x-4)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=0,4)

Step 1

Concept

If (x(x-4)=0), then (x=0) or (x-4=0). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=0,4). If (x(x-4)=0), then (x=0) or (x-4=0). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

यदि (x(x-4)=0), तो (x=0) या (x-4=0) होगा। परीक्षा में हर गुणनखंड को अलग-अलग शून्य के बराबर रखें।

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