Search: degree-six

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?

If non-zero polynomial (p(x)) has degree (6) and (q(x)) has degree (3), what will be the degree of (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.

Step 2

Why this answer is correct

The correct answer is C. (9). In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (6+3=9)। गुणन में उच्चतम घातों का गुणन देखें।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?

If the degree of (p(x)) is (5) and the degree of (q(x)) is (2), what is the degree of non-zero (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.

Step 2

Why this answer is correct

The correct answer is C. (7). In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (5+2=7)। गुणन में घातों का योग याद रखें।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?

If the degree of (p(x)) is (4) and the degree of (q(x)) is (3), what will generally be the degree of (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Step 2

Why this answer is correct

The correct answer is B. (7). In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (4+3=7)। गुणन में घातों का योग याद रखें।

Open Question Page

Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि कोई बहुपद (x)-अक्ष को छह अलग बिंदुओं पर काटता है तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at six distinct points, what is the minimum possible degree?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (6). For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

छह अलग वास्तविक शून्यकों के लिए घात कम से कम (6) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Hard General Knowledge World History Famous World Leaders Class 10 Level 66

शेख मुजीबुर रहमान का छह सूत्रीय कार्यक्रम किस मांग से जुड़ा था?

Sheikh Mujibur Rahman's Six Point Programme was linked with which demand?

Explanation opens after your attempt

Correct Answer

A. पूर्वी पाकिस्तान के लिए अधिक स्वायत्तताGreater autonomy for East Pakistan

Step 1

Concept

The Six Point Programme was linked with autonomy demands of East Pakistan. For exams connect it with the background of Bangladesh's rise.

Step 2

Why this answer is correct

The correct answer is A. पूर्वी पाकिस्तान के लिए अधिक स्वायत्तता / Greater autonomy for East Pakistan. The Six Point Programme was linked with autonomy demands of East Pakistan. For exams connect it with the background of Bangladesh's rise.

Step 3

Exam Tip

छह सूत्रीय कार्यक्रम पूर्वी पाकिस्तान की स्वायत्तता की मांग से जुड़ा था। परीक्षा में इसे बांग्लादेश के उदय की पृष्ठभूमि से जोड़ें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

एक छात्र $x^2+2x+1$ की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?

A student says the degree of $x^2+2x+1$ is (3) because it has (3) terms. What is the correct degree?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.

Step 2

Why this answer is correct

The correct answer is B. (2). Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.

Step 3

Exam Tip

घात पदों की संख्या से नहीं, सबसे बड़ी घात (2) से तय होती है। यह सामान्य गलती परीक्षा में न करें।

Open Question Page

Question Medium General Knowledge Indian Geography Physical Features of India Class 10 Level 87

भारत के छह प्रमुख भौतिक विभागों में कौन सा जोड़ा सही है?

Which pair is correct among the six major physical divisions of India?

Explanation opens after your attempt

Correct Answer

A. हिमालय और उत्तरी मैदानHimalayas and Northern Plains

Step 1

Concept

Himalayas and Northern Plains are major physical divisions of India. For exams remember the six divisions separately.

Step 2

Why this answer is correct

The correct answer is A. हिमालय और उत्तरी मैदान / Himalayas and Northern Plains. Himalayas and Northern Plains are major physical divisions of India. For exams remember the six divisions separately.

Step 3

Exam Tip

हिमालय और उत्तरी मैदान भारत के प्रमुख भौतिक विभागों में आते हैं। परीक्षा में छह विभागों की सूची अलग अलग याद रखें।

Open Question Page

Question Easy General Knowledge Indian Geography Physical Features of India Class 10 Level 85

कौन सा भूभाग भारत के छह मुख्य भौतिक विभागों में शामिल है?

Which landform is included among the six main physical divisions of India?

Explanation opens after your attempt

Correct Answer

A. हिमालय पर्वतHimalayan Mountains

Step 1

Concept

The Himalayan Mountains are one of India's major physical divisions. For exams remember the list of six divisions.

Step 2

Why this answer is correct

The correct answer is A. हिमालय पर्वत / Himalayan Mountains. The Himalayan Mountains are one of India's major physical divisions. For exams remember the list of six divisions.

Step 3

Exam Tip

हिमालय पर्वत भारत के प्रमुख भौतिक विभागों में से एक है। परीक्षा में छह विभागों की सूची याद रखें।

Open Question Page

Question Expert General Knowledge World History United Nations History Class 10 Level 61

विश्व बैंक और आई एम एफ को संयुक्त राष्ट्र के छह प्रमुख अंगों में गिनना क्यों गलत है?

Why is it wrong to count the World Bank and IMF among the six principal organs of the UN?

Explanation opens after your attempt

Correct Answer

A. वे संबद्ध आर्थिक संस्थाएं हैं मुख्य चार्टर अंग नहींThey are affiliated economic institutions not principal Charter organs

Step 1

Concept

The World Bank and IMF are economic institutions linked with the UN system but not principal organs. Exam tip: remember institution types.

Step 2

Why this answer is correct

The correct answer is A. वे संबद्ध आर्थिक संस्थाएं हैं मुख्य चार्टर अंग नहीं / They are affiliated economic institutions not principal Charter organs. The World Bank and IMF are economic institutions linked with the UN system but not principal organs. Exam tip: remember institution types.

Step 3

Exam Tip

विश्व बैंक और आई एम एफ संयुक्त राष्ट्र प्रणाली से जुड़े आर्थिक संस्थान हैं पर छह प्रमुख अंग नहीं हैं। परीक्षा में संस्था प्रकार याद रखें।

Open Question Page

Question Hard General Knowledge World History United Nations History Class 10 Level 60

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं का सही समूह कौन सा है?

Which is the correct group of the six official languages of the United Nations?

Explanation opens after your attempt

Correct Answer

A. अरबी चीनी अंग्रेजी फ्रेंच रूसी स्पेनिशArabic Chinese English French Russian Spanish

Step 1

Concept

The six official UN languages are Arabic Chinese English French Russian and Spanish. Exam tip: remember them as a group.

Step 2

Why this answer is correct

The correct answer is A. अरबी चीनी अंग्रेजी फ्रेंच रूसी स्पेनिश / Arabic Chinese English French Russian Spanish. The six official UN languages are Arabic Chinese English French Russian and Spanish. Exam tip: remember them as a group.

Step 3

Exam Tip

संयुक्त राष्ट्र की छह आधिकारिक भाषाएं अरबी चीनी अंग्रेजी फ्रेंच रूसी और स्पेनिश हैं। परीक्षा में इन्हें समूह के रूप में याद करें।

Open Question Page

Question Medium General Knowledge World History United Nations History Class 10 Level 63

संयुक्त राष्ट्र के छह आधिकारिक भाषाओं की नीति का मुख्य लाभ क्या है?

What is the main benefit of the UN policy of six official languages?

Explanation opens after your attempt

Correct Answer

A. अंतरराष्ट्रीय संवाद और भागीदारी को व्यापक बनानाMaking international communication and participation wider

Step 1

Concept

Official languages help countries from different regions communicate. For exams remember the names of the six languages.

Step 2

Why this answer is correct

The correct answer is A. अंतरराष्ट्रीय संवाद और भागीदारी को व्यापक बनाना / Making international communication and participation wider. Official languages help countries from different regions communicate. For exams remember the names of the six languages.

Step 3

Exam Tip

आधिकारिक भाषाएं अलग-अलग क्षेत्रों के देशों को संवाद में मदद देती हैं। परीक्षा में छह भाषाओं के नाम याद रखें।

Open Question Page

Question Medium General Knowledge World History United Nations History Class 10 Level 62

संयुक्त राष्ट्र की विशेष एजेंसियां सीधे छह प्रमुख अंगों जैसी क्यों नहीं मानी जातीं?

Why are UN specialized agencies not considered the same as the six principal organs?

Explanation opens after your attempt

Correct Answer

A. वे अलग संधियों से बनी स्वायत्त संस्थाएं हैं जो संयुक्त राष्ट्र से जुड़ी रहती हैंThey are autonomous bodies created by separate agreements and linked with the UN

Step 1

Concept

Specialized agencies are linked with the UN system but are not among the six principal organs. Exam tip: keep the difference between organ and agency.

Step 2

Why this answer is correct

The correct answer is A. वे अलग संधियों से बनी स्वायत्त संस्थाएं हैं जो संयुक्त राष्ट्र से जुड़ी रहती हैं / They are autonomous bodies created by separate agreements and linked with the UN. Specialized agencies are linked with the UN system but are not among the six principal organs. Exam tip: keep the difference between organ and agency.

Step 3

Exam Tip

विशेष एजेंसियां संयुक्त राष्ट्र प्रणाली से जुड़ी होती हैं लेकिन छह प्रमुख अंगों में शामिल नहीं होतीं। परीक्षा में अंग और एजेंसी में अंतर रखें।

Open Question Page

Question Medium General Knowledge World History United Nations History Class 10 Level 60

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं का उद्देश्य क्या है?

What is the purpose of the six official languages of the United Nations?

Explanation opens after your attempt

Correct Answer

A. बहुभाषी संवाद और व्यापक भागीदारी को आसान बनानाTo make multilingual communication and wider participation easier

Step 1

Concept

Official languages make international communication easier. For exams remember all six languages by name.

Step 2

Why this answer is correct

The correct answer is A. बहुभाषी संवाद और व्यापक भागीदारी को आसान बनाना / To make multilingual communication and wider participation easier. Official languages make international communication easier. For exams remember all six languages by name.

Step 3

Exam Tip

आधिकारिक भाषाएं अंतरराष्ट्रीय संवाद को सरल बनाती हैं। परीक्षा में छह भाषाएं नाम सहित याद रखें।

Open Question Page

Question Easy General Knowledge World History United Nations History Class 10 Level 60

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं में कौन सी भाषा शामिल है?

Which language is included among the six official languages of the United Nations?

Explanation opens after your attempt

Correct Answer

A. चीनीChinese

Step 1

Concept

Chinese is one of the six official languages of the United Nations. Exam tip: remember English French Russian Chinese Arabic and Spanish.

Step 2

Why this answer is correct

The correct answer is A. चीनी / Chinese. Chinese is one of the six official languages of the United Nations. Exam tip: remember English French Russian Chinese Arabic and Spanish.

Step 3

Exam Tip

चीनी संयुक्त राष्ट्र की छह आधिकारिक भाषाओं में से एक है। परीक्षा में अंग्रेजी फ्रेंच रूसी चीनी अरबी और स्पेनिश याद रखें।

Open Question Page

Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

पिता और पुत्र की आयु का योग (56) वर्ष है। (6) वर्ष पहले पिता की आयु पुत्र की आयु की (3) गुनी थी। पिता की वर्तमान आयु क्या है?

The sum of a father’s and son’s ages is (56) years. Six years ago, the father’s age was (3) times the son’s age. What is the father’s present age?

Explanation opens after your attempt

Correct Answer

C. (39) वर्ष(39) years

Step 1

Concept

Let the father be (x) and the son be (y). From (x+y=56) and (x-6=3(y-6)), (x=39).

Step 2

Why this answer is correct

The correct answer is C. (39) वर्ष / (39) years. Let the father be (x) and the son be (y). From (x+y=56) and (x-6=3(y-6)), (x=39).

Step 3

Exam Tip

मान लें पिता (x) और पुत्र (y) है। (x+y=56) और (x-6=3(y-6)) से (x=39)।

Open Question Page

Question Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 3

छह लगातार पूर्णांकों में से कम से कम एक संख्या 6 से विभाज्य क्यों होती है?

Why is at least one number among six consecutive integers divisible by 6?

Explanation opens after your attempt

Correct Answer

A. क्योंकि 6 से भाग देने पर शेषफल 0, 1, 2, 3, 4, 5 का चक्र आता हैBecause division by 6 gives the cycle of remainders 0, 1, 2, 3, 4, 5

Step 1

Concept

On division by 6, possible remainders are from 0 to 5.

Step 2

Why this answer is correct

Six consecutive integers cover all these remainders once.

Step 3

Exam Tip

The number with remainder 0 is divisible by 6. चरण 1: 6 से भाग देने पर शेषफल 0 से 5 तक हो सकते हैं। चरण 2: छह लगातार पूर्णांकों में ये सभी शेषफल एक बार आते हैं। चरण 3: जिस संख्या का शेषफल 0 है, वह 6 से विभाज्य होगी।

Open Question Page

Question Expert Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 12

अम्लता मान तीन से छह होने पर कौन सा निष्कर्ष सबसे सही है?

When pH changes from three to six, which conclusion is most correct?

Explanation opens after your attempt

Correct Answer

A. अम्लीयता घटती है पर विलयन अभी भी अम्लीय हैAcidity decreases but the solution is still acidic

Step 1

Concept

A solution is acidic when pH is less than seven.

Step 2

Why this answer is correct

Increasing pH from three to six means acidity decreases.

Step 3

Exam Tip

Still, six is below seven, so the solution remains acidic. चरण 1: अम्लता मान सात से कम होने पर विलयन अम्लीय होता है। चरण 2: तीन से छह तक मान बढ़ने का अर्थ अम्लीयता कम होना है। चरण 3: फिर भी छह सात से कम है इसलिए विलयन अम्लीय ही रहेगा।

Open Question Page

Question Easy Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 11

पीएच दो और पीएच छह में कौन सा विलयन अधिक अम्लीय होगा?

Between pH two and pH six which solution will be more acidic?

Explanation opens after your attempt

Correct Answer

A. पीएच दो वालाThe one with pH two

Step 1

Concept

Acidity increases as pH decreases.

Step 2

Why this answer is correct

pH two is lower than pH six.

Step 3

Exam Tip

Therefore the solution with pH two is more acidic. चरण 1: पीएच कम होने पर अम्लीयता बढ़ती है। चरण 2: दो का पीएच छह से कम है। चरण 3: इसलिए पीएच दो वाला विलयन अधिक अम्लीय होगा।

Open Question Page

Question Easy Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 9

पीएच छह और पीएच तीन में कौन सा विलयन अधिक अम्लीय होगा?

Between pH six and pH three which solution will be more acidic?

Explanation opens after your attempt

Correct Answer

A. पीएच तीन वालाThe one with pH three

Step 1

Concept

Acidity increases when pH decreases.

Step 2

Why this answer is correct

pH three is lower than pH six.

Step 3

Exam Tip

Therefore the solution with pH three is more acidic. चरण 1: पीएच कम होने पर अम्लीयता बढ़ती है। चरण 2: तीन का पीएच छह से कम है। चरण 3: इसलिए पीएच तीन वाला विलयन अधिक अम्लीय होगा।

Open Question Page

Question Expert Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 5

जल के वैद्युत वियोजन में यदि हाइड्रोजन छत्तीस मिलीलीटर है तो ऑक्सीजन का अपेक्षित आयतन कितना होगा?

In electrolysis of water if hydrogen is thirty six millilitres what will be the expected volume of oxygen?

Explanation opens after your attempt

Correct Answer

A. अठारह मिलीलीटरEighteen millilitres

Step 1

Concept

The volume ratio of hydrogen to oxygen is two to one.

Step 2

Why this answer is correct

Hydrogen is thirty six millilitres.

Step 3

Exam Tip

Therefore oxygen will be eighteen millilitres. चरण 1: हाइड्रोजन और ऑक्सीजन का आयतन अनुपात दो अनुपात एक है। चरण 2: हाइड्रोजन छत्तीस मिलीलीटर है। चरण 3: इसलिए ऑक्सीजन अठारह मिलीलीटर होगी।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(k-3)x^-5+2x^-3-x+9) की घात (3) है, तो (k) क्या है?

If (p(x)=(k-3)x^-5+2x^-3-x+9) has degree (3), what is (k)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

For degree (3), the coefficient of $x^5$ must be (0). Thus (k-3=0) and (k=3).

Step 2

Why this answer is correct

The correct answer is A. (3). For degree (3), the coefficient of $x^5$ must be (0). Thus (k-3=0) and (k=3).

Step 3

Exam Tip

घात (3) होने के लिए $x^5$ का गुणांक (0) होना चाहिए। इसलिए (k-3=0) और (k=3)।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) की घात (4) है, तो (m) क्या है?

If the degree of (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) is (4), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. For (m=0), (m^-4=-4).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. For (m=0), (m^-4=-4).

Step 3

Exam Tip

घात (4) के लिए $x^5$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (m=0) पर (m^-4=-4) है।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-5+bx^-4+cx^-3+d) में (a=0), $b\ne0$ और $c\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0), $b\ne0$, and $c\ne0$ in (p(x)=ax^-5+bx^-4+cx^-3+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Since (a=0), the $x^5$-term vanishes, and since $b\ne0$, the $x^4$-term remains. So the degree is (4).

Step 2

Why this answer is correct

The correct answer is B. (4). Since (a=0), the $x^5$-term vanishes, and since $b\ne0$, the $x^4$-term remains. So the degree is (4).

Step 3

Exam Tip

(a=0) से $x^5$ पद हट जाता है और $b\ne0$ से $x^4$ पद बचता है। इसलिए घात (4) है।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

(p(x)=6x^-5-4x^-2+1) और (q(x)=-6x^-5+3x^-4+x-9) के योग की घात क्या है?

What is the degree of the sum of (p(x)=6x^-5-4x^-2+1) and (q(x)=-6x^-5+3x^-4+x-9)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The $x^5$-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.

Step 2

Why this answer is correct

The correct answer is C. (4). The $x^5$-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.

Step 3

Exam Tip

$x^5$ के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) की घात (4) है, तो (a) क्या होगा?

If the degree of (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) is (4), what will (a) be?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

For degree (4), the coefficient of $x^6$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (a=1).

Step 2

Why this answer is correct

The correct answer is B. (1). For degree (4), the coefficient of $x^6$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (a=1).

Step 3

Exam Tip

घात (4) के लिए $x^6$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (a=1) पर दोनों शर्तें पूरी होती हैं।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किस मान के लिए (p(x)=(m^-2)x^-4+3x^-2+x+1) की घात (2) से अधिक नहीं होगी?

For which value will (p(x)=(m^-2)x^-4+3x^-2+x+1) have degree not more than (2)?

Explanation opens after your attempt

Correct Answer

A. (m=2)

Step 1

Concept

To make the degree not more than (2), the coefficient of $x^4$ must be (0), so (m^-2=0). Degree reduces only when the highest term vanishes.

Step 2

Why this answer is correct

The correct answer is A. (m=2). To make the degree not more than (2), the coefficient of $x^4$ must be (0), so (m^-2=0). Degree reduces only when the highest term vanishes.

Step 3

Exam Tip

घात (2) से अधिक न हो इसके लिए $x^4$ का गुणांक (0) चाहिए, अतः (m^-2=0)। उच्चतम पद हटाकर ही घात घटती है।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x^-4-5x^-2+4) है, तो (p(x)) का घात कितना है?

If (p(x)=x^-4-5x^-2+4), what is the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

The highest power is $x^4$, so the degree is (4). Terms with zero coefficients do not affect the degree.

Step 2

Why this answer is correct

The correct answer is A. (4). The highest power is $x^4$, so the degree is (4). Terms with zero coefficients do not affect the degree.

Step 3

Exam Tip

सबसे बड़ी घात $x^4$ है, इसलिए घात (4) है। शून्य गुणांक वाले पदों को घात तय करने में नहीं गिनते।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=mx^-4+(m+2)x^-3+5x+1) की घात (3) है, तो (m) क्या है?

If the degree of (p(x)=mx^-4+(m+2)x^-3+5x+1) is (3), what is (m)?

Explanation opens after your attempt

Correct Answer

B. (0)

Step 1

Concept

For degree (3), the coefficient of $x^4$ must be (0) and the coefficient of $x^3$ must be non-zero. For (m=0), (m+2=2).

Step 2

Why this answer is correct

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

Step 3

Exam Tip

घात (3) के लिए $x^4$ का गुणांक (0) चाहिए और $x^3$ का गुणांक अशून्य चाहिए। (m=0) पर (m+2=2) है।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=ax^-4+bx^-3+cx^-2+d) में (a=0), (b=0) और $c\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0), (b=0), and $c\ne0$ in (p(x)=ax^-4+bx^-3+cx^-2+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The $x^4$- and $x^3$-terms vanish, but $c\ne0$ keeps the $x^2$-term. So the degree is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). The $x^4$- and $x^3$-terms vanish, but $c\ne0$ keeps the $x^2$-term. So the degree is (2).

Step 3

Exam Tip

$x^4$ और $x^3$ के पद हट जाते हैं, लेकिन $c\ne0$ से $x^2$ पद बचता है। इसलिए घात (2) है।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=5x^-4-2x^-2+1) और (q(x)=-5x^-4+3x^-3+x-6) के योग की घात क्या है?

What is the degree of the sum of (p(x)=5x^-4-2x^-2+1) and (q(x)=-5x^-4+3x^-3+x-6)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 2

Why this answer is correct

The correct answer is C. (3). The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 3

Exam Tip

$x^4$ के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) की घात (4) है, तो (m) क्या होगा?

If the degree of (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) is (4), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (-2)

Step 1

Concept

For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (m=-2).

Step 2

Why this answer is correct

The correct answer is A. (-2). For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (m=-2).

Step 3

Exam Tip

घात (4) के लिए $x^5$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (m=-2) पर दोनों शर्तें पूरी होती हैं।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किस बहुपद की घात (4) है?

Which polynomial has degree (4)?

Explanation opens after your attempt

Correct Answer

A. $7x^4+0x^5-3x+1$

Step 1

Concept

The term $0x^5$ does not affect degree because its coefficient is (0). The highest non-zero power is (4).

Step 2

Why this answer is correct

The correct answer is A. $7x^4+0x^5-3x+1$. The term $0x^5$ does not affect degree because its coefficient is (0). The highest non-zero power is (4).

Step 3

Exam Tip

$0x^5$ पद घात नहीं बढ़ाता क्योंकि उसका गुणांक (0) है। सबसे बड़ा शून्येतर घात (4) है।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=mx^-3+(m^-1)x^-2+2x+1) की घात (2) है, तो (m) क्या है?

If the degree of (p(x)=mx^-3+(m^-1)x^-2+2x+1) is (2), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (2), the coefficient of $x^3$ must be (0) and the coefficient of $x^2$ must be non-zero. Both conditions hold when (m=0).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (2), the coefficient of $x^3$ must be (0) and the coefficient of $x^2$ must be non-zero. Both conditions hold when (m=0).

Step 3

Exam Tip

घात (2) के लिए $x^3$ का गुणांक (0) चाहिए और $x^2$ का गुणांक अशून्य चाहिए। (m=0) पर ये दोनों शर्तें पूरी होती हैं।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-3+bx^-2+cx+d) में (a=0) और $b\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0) and $b\ne0$ in (p(x)=ax^-3+bx^-2+cx+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

Since (a=0), the $x^3$-term vanishes, and since $b\ne0$, the $x^2$-term remains. So the degree is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). Since (a=0), the $x^3$-term vanishes, and since $b\ne0$, the $x^2$-term remains. So the degree is (2).

Step 3

Exam Tip

(a=0) होने से $x^3$ पद हट जाता है और $b\ne0$ होने से $x^2$ पद बचता है। इसलिए घात (2) है।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

(p(x)=4x^-4-3x^-2+2) और (q(x)=-4x^-4+5x^-3+x-8) के योग की घात क्या है?

What is the degree of the sum of (p(x)=4x^-4-3x^-2+2) and (q(x)=-4x^-4+5x^-3+x-8)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 2

Why this answer is correct

The correct answer is C. (3). The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 3

Exam Tip

$x^4$ के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=(a-5)x^-5+2x^-3-7x+4) की घात (3) है, तो (a) क्या होगा?

If the degree of (p(x)=(a-5)x^-5+2x^-3-7x+4) is (3), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

For the degree to be (3), the coefficient of $x^5$ must be (0), so (a-5=0). First make the highest-degree term vanish.

Step 2

Why this answer is correct

The correct answer is C. (5). For the degree to be (3), the coefficient of $x^5$ must be (0), so (a-5=0). First make the highest-degree term vanish.

Step 3

Exam Tip

घात (3) होने के लिए $x^5$ का गुणांक (0) होना चाहिए, इसलिए (a-5=0)। उच्चतम घात वाले पद को पहले शून्य करें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(k-4)x^-4+3x^-2-5x+2) की घात (2) है, तो (k) का मान क्या होगा?

If the degree of (p(x)=(k-4)x^-4+3x^-2-5x+2) is (2), what will be the value of (k)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For the degree to be (2), the coefficient of $x^4$ must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.

Step 2

Why this answer is correct

The correct answer is C. (4). For the degree to be (2), the coefficient of $x^4$ must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.

Step 3

Exam Tip

घात (2) होने के लिए $x^4$ का गुणांक (0) होना चाहिए, इसलिए (k-4=0) और (k=4)। सबसे बड़ी घात वाले पद का गुणांक पहले जांचें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

किसी रैखिक बहुपद (mx+n) में $m\ne0$ हो तो उसकी घात क्या है?

If $m\ne0$ in a linear polynomial (mx+n), what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $m\ne0$, the term (mx) exists and the highest power is (1). So the degree is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). When $m\ne0$, the term (mx) exists and the highest power is (1). So the degree is (1).

Step 3

Exam Tip

$m\ne0$ होने पर (mx) पद मौजूद रहता है और सबसे बड़ी घात (1) होती है। इसलिए घात (1) है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=0x^-5+7x^-3-2x+1) की घात क्या है?

What is the degree of (p(x)=0x^-5+7x^-3-2x+1)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

The coefficient of $0x^5$ is (0), so that term is not counted. The highest effective power is (3).

Step 2

Why this answer is correct

The correct answer is B. (3). The coefficient of $0x^5$ is (0), so that term is not counted. The highest effective power is (3).

Step 3

Exam Tip

$0x^5$ का गुणांक (0) है इसलिए वह पद नहीं गिना जाएगा। सबसे बड़ी प्रभावी घात (3) है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

अशून्य अचर बहुपद (p(x)=-18) की घात क्या है?

What is the degree of the non-zero constant polynomial (p(x)=-18)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).

Step 3

Exam Tip

अशून्य अचर बहुपद की घात (0) होती है। अचर संख्या का अर्थ घात (0) से जुड़ा है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (p(x)=11x^-6-4x^-3+x-9) की घात क्या है?

What is the degree of the polynomial (p(x)=11x^-6-4x^-3+x-9)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 2

Why this answer is correct

The correct answer is C. (6). The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 3

Exam Tip

सबसे बड़ी घात (6) है इसलिए घात (6) होगी। गुणांक नहीं बल्कि चर की सबसे ऊंची घात देखें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प $2x^3-5x^2+x-4$ की घात और नियत पद को सही बताता है?

Which option correctly gives the degree and constant term of $2x^3-5x^2+x-4$?

Explanation opens after your attempt

Correct Answer

A. घात (3), नियत पद (-4)Degree (3), constant term (-4)

Step 1

Concept

The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 2

Why this answer is correct

The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 3

Exam Tip

सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$x^2+1$, $x^3+x$, (5x-2) में सबसे कम घात वाला बहुपद कौन सा है?

Among $x^2+1$, $x^3+x$, and (5x-2), which polynomial has the least degree?

Explanation opens after your attempt

Correct Answer

C. (5x-2)

Step 1

Concept

Their degrees are (2), (3), and (1) respectively. The least degree is (1).

Step 2

Why this answer is correct

The correct answer is C. (5x-2). Their degrees are (2), (3), and (1) respectively. The least degree is (1).

Step 3

Exam Tip

इनकी घातें क्रमशः (2), (3) और (1) हैं। सबसे कम घात (1) है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि किसी गैर-शून्य नियत बहुपद की घात पूछी जाए, तो सही उत्तर क्या होगा?

If the degree of a non-zero constant polynomial is asked, what will be the correct answer?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.

Step 3

Exam Tip

गैर-शून्य नियत बहुपद की घात (0) होती है। इसे शून्य बहुपद से अलग रखें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

किस मान के लिए (p(x)=(a-2)x^-3+4x^-2+1) की घात (2) हो जाएगी?

For which value will (p(x)=(a-2)x^-3+4x^-2+1) have degree (2)?

Explanation opens after your attempt

Correct Answer

C. (a=2)

Step 1

Concept

For degree (2), the coefficient of $x^3$ must be (0). From (a-2=0), we get (a=2).

Step 2

Why this answer is correct

The correct answer is C. (a=2). For degree (2), the coefficient of $x^3$ must be (0). From (a-2=0), we get (a=2).

Step 3

Exam Tip

घात (2) के लिए $x^3$ का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-2+3x+5) की घात (1) है, तो (a) का मान क्या होगा?

If (p(x)=ax^-2+3x+5) has degree (1), what will be the value of (a)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (1), the coefficient of $x^2$ must be (0). Therefore (a=0).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (1), the coefficient of $x^2$ must be (0). Therefore (a=0).

Step 3

Exam Tip

घात (1) होने के लिए $x^2$ का गुणांक (0) होना चाहिए। इसलिए (a=0) है।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=(m^-2)x^-3+4x^-2-7) की घात (2) है, तो (m) का मान क्या होगा?

If the degree of (p(x)=(m^-2)x^-3+4x^-2-7) is (2), what will be the value of (m)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

For the degree to be (2), the coefficient of $x^3$ must be (0), so (m^-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 2

Why this answer is correct

The correct answer is B. (2). For the degree to be (2), the coefficient of $x^3$ must be (0), so (m^-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 3

Exam Tip

घात (2) होने के लिए $x^3$ का गुणांक (0) होना चाहिए, इसलिए (m^-2=0) और (m=2)। परीक्षा में सबसे ऊंची घात के गुणांक को पहले देखें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?

Which of the following is a polynomial in (x) with degree (4)?

Explanation opens after your attempt

Correct Answer

A. $x^4-2x+7$

Step 1

Concept

In $x^4-2x+7$, the highest power is (4). To identify degree, check the greatest power.

Step 2

Why this answer is correct

The correct answer is A. $x^4-2x+7$. In $x^4-2x+7$, the highest power is (4). To identify degree, check the greatest power.

Step 3

Exam Tip

$x^4-2x+7$ में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किसी रैखिक बहुपद (ax+b) में $a\ne0$ हो तो उसकी घात क्या है?

If $a\ne0$ in a linear polynomial (ax+b), what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $a\ne0$ in (ax+b), the highest power of (x) is (1). So the degree is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). When $a\ne0$ in (ax+b), the highest power of (x) is (1). So the degree is (1).

Step 3

Exam Tip

(ax+b) में $a\ne0$ होने पर (x) की सबसे बड़ी घात (1) है। इसलिए घात (1) होगी।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

$3x^4+0x^3-2x+5$ की घात क्या है?

What is the degree of $3x^4+0x^3-2x+5$?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The term $0x^3$ is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 2

Why this answer is correct

The correct answer is C. (4). The term $0x^3$ is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 3

Exam Tip

$0x^3$ पद प्रभावी नहीं है और सबसे बड़ी अशून्य घात (4) है। शून्य गुणांक वाले पद को नजरअंदाज करें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

अशून्य अचर बहुपद (p(x)=12) की घात क्या होती है?

What is the degree of the non-zero constant polynomial (p(x)=12)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.

Step 3

Exam Tip

अशून्य अचर बहुपद की घात (0) होती है। शून्य बहुपद से इसे अलग रखें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=4x^-5-3x^-2+9) की घात क्या है?

What is the degree of the polynomial (p(x)=4x^-5-3x^-2+9)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। हमेशा सबसे ऊंची घात देखें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$x^5+1$ की घात क्या है?

What is the degree of $x^5+1$?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। नियत पद घात को नहीं बढ़ाता।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद की घात (2) है?

Which polynomial has degree (2)?

Explanation opens after your attempt

Correct Answer

A. $x^2+4x$

Step 1

Concept

The highest power in $x^2+4x$ is (2). Therefore its degree is (2).

Step 2

Why this answer is correct

The correct answer is A. $x^2+4x$. The highest power in $x^2+4x$ is (2). Therefore its degree is (2).

Step 3

Exam Tip

$x^2+4x$ में सबसे बड़ी घात (2) है। इसलिए इसकी घात (2) है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद की घात (1) है?

Which polynomial has degree (1)?

Explanation opens after your attempt

Correct Answer

B. (9x-3)

Step 1

Concept

In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).

Step 2

Why this answer is correct

The correct answer is B. (9x-3). In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).

Step 3

Exam Tip

(9x-3) में (x) की सबसे बड़ी घात (1) है। इसलिए यह घात (1) का बहुपद है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

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।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$6x^4-2x^2+x-8$ की घात क्या है?

What is the degree of $6x^4-2x^2+x-8$?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (4) है इसलिए घात (4) है। पदों की संख्या नहीं, सबसे बड़ी घात महत्वपूर्ण है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद $7x^3-4x+9$ की घात क्या है?

What is the degree of the polynomial $7x^3-4x+9$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest power is (3), so the degree is (3). Always check the highest power of the variable.

Step 2

Why this answer is correct

The correct answer is C. (3). The highest power is (3), so the degree is (3). Always check the highest power of the variable.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। हमेशा चर की सबसे बड़ी घात देखें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (3) है, तो उसे क्या कहते हैं?

If a polynomial has degree (3), what is it called?

Explanation opens after your attempt

Correct Answer

A. घन बहुपदCubic polynomial

Step 1

Concept

A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.

Step 2

Why this answer is correct

The correct answer is A. घन बहुपद / Cubic polynomial. A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.

Step 3

Exam Tip

घात (3) वाला बहुपद घन बहुपद कहलाता है। सबसे बड़ी घात ही नाम तय करती है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (2) है, तो उसे क्या कहते हैं?

If a polynomial has degree (2), what is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Step 1

Concept

A degree (2) polynomial is called quadratic. A non-zero $x^2$-term must be present.

Step 2

Why this answer is correct

The correct answer is B. द्विघात बहुपद / Quadratic polynomial. A degree (2) polynomial is called quadratic. A non-zero $x^2$-term must be present.

Step 3

Exam Tip

घात (2) वाला बहुपद द्विघात कहलाता है। $x^2$ का अशून्य पद होना जरूरी है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (1) है, तो उसे क्या कहते हैं?

If a polynomial has degree (1), what is it called?

Explanation opens after your attempt

Correct Answer

B. रैखिक बहुपदLinear polynomial

Step 1

Concept

A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.

Step 2

Why this answer is correct

The correct answer is B. रैखिक बहुपद / Linear polynomial. A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.

Step 3

Exam Tip

घात (1) वाले बहुपद को रैखिक बहुपद कहते हैं। नाम हमेशा घात से जोड़कर याद करें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=ax+b) में यदि $a\ne0$ है, तो इसकी घात क्या होती है?

In (p(x)=ax+b), if $a\ne0$, what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $a\ne0$, the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (1). When $a\ne0$, the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 3

Exam Tip

$a\ne0$ होने पर (x) वाला पद मौजूद है, इसलिए घात (1) है। यही रैखिक बहुपद का रूप है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद $11x^5-3x^2+8$ की घात क्या है?

What is the degree of $11x^5-3x^2+8$?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए घात (5) होगी। पदों की संख्या नहीं बल्कि सबसे बड़ी घात देखें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (5) की घात क्या है?

What is the degree of the polynomial (5)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). Remember $5=5x^0$ may be considered.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). Remember $5=5x^0$ may be considered.

Step 3

Exam Tip

अशून्य नियत बहुपद की घात (0) होती है। याद रखें $5=5x^0$ माना जा सकता है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद $7x^3-2x+9$ की घात क्या है?

What is the degree of the polynomial $7x^3-2x+9$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest power is (3), so the degree is (3). In exams identify the greatest exponent.

Step 2

Why this answer is correct

The correct answer is C. (3). The highest power is (3), so the degree is (3). In exams identify the greatest exponent.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। परीक्षा में सबसे बड़े घातांक को पहचानें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=ax+b) और $a\neq0$, तो (p(x)) की घात क्या है?

If (p(x)=ax+b) and $a\neq0$, what is the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

Since $a\neq0$, the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). Since $a\neq0$, the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 3

Exam Tip

$a\neq0$ होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद $4x^3-2x^3+x+5$ को सरल करने पर घात क्या होगी?

After simplifying $4x^3-2x^3+x+5$, what is its degree?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Combining like terms gives $2x^3+x+5$. The highest power is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). Combining like terms gives $2x^3+x+5$. The highest power is (3).

Step 3

Exam Tip

समान पद मिलाकर $2x^3+x+5$ मिलता है। सबसे बड़ी घात (3) है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद $3x^3+0x^2-2x+5$ की घात क्या है?

What is the degree of $3x^3+0x^2-2x+5$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest non-zero power term is $3x^3$. So the degree is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). The highest non-zero power term is $3x^3$. So the degree is (3).

Step 3

Exam Tip

सबसे बड़ी शून्य से भिन्न घात वाला पद $3x^3$ है। इसलिए घात (3) है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

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

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

Explanation opens after your attempt

Correct Answer

C. घात परिभाषित नहीं हैDegree is undefined

Step 1

Concept

The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is C. घात परिभाषित नहीं है / Degree is undefined. The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। परीक्षा में इसे स्थिर शून्य से भिन्न बहुपद से अलग रखें।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

स्थिर बहुपद (p(x)=9) की घात क्या है?

What is the degree of the constant polynomial (p(x)=9)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). The number (9) may be written as $9x^0$.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). The number (9) may be written as $9x^0$.

Step 3

Exam Tip

शून्य से भिन्न स्थिर बहुपद की घात (0) होती है। (9) को $9x^0$ माना जा सकता है।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=4x^-3-2x+9) की घात क्या है?

What is the degree of the polynomial (p(x)=4x^-3-2x+9)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.

Step 2

Why this answer is correct

The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।

Open Question Page

Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण $x^2+1=0$ की घात क्या है?

What is the degree of $x^2+1=0$?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The highest power of (x) is (2). The constant term does not change the degree.

Step 2

Why this answer is correct

The correct answer is B. (2). The highest power of (x) is (2). The constant term does not change the degree.

Step 3

Exam Tip

इसमें (x) की सबसे बड़ी घात (2) है। स्थिर पद घात को नहीं बदलता।

Open Question Page

Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण $7x^2-4x+9=0$ की घात क्या है?

What is the degree of the equation $7x^2-4x+9=0$?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.

Step 2

Why this answer is correct

The correct answer is B. (2). The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.

Step 3

Exam Tip

इस समीकरण में (x) की सबसे बड़ी घात (2) है। घात हमेशा चर की सबसे बड़ी शक्ति से तय होती है।

Open Question Page

Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

$6x^2-5x+2=0$ की घात क्या है?

What is the degree of $6x^2-5x+2=0$?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The highest power is (2). Therefore it is a quadratic equation.

Step 2

Why this answer is correct

The correct answer is C. (2). The highest power is (2). Therefore it is a quadratic equation.

Step 3

Exam Tip

सबसे बड़ी घात (2) है। इसलिए यह द्विघात समीकरण है।

Open Question Page

Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

$5x^2+2x-1=0$ की घात क्या है?

What is the degree of $5x^2+2x-1=0$?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The highest power is (2). Therefore the equation is quadratic.

Step 2

Why this answer is correct

The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.

Step 3

Exam Tip

सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।

Open Question Page

Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?

If an equation in (x) has degree (2), what is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात समीकरणQuadratic equation

Step 1

Concept

An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 2

Why this answer is correct

The correct answer is B. द्विघात समीकरण / Quadratic equation. An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 3

Exam Tip

घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें।

Open Question Page

Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

एक ग्राफ (x)-अक्ष को तीन बार काटता है। उस बहुपद की न्यूनतम संभावित डिग्री क्या हो सकती है?

A graph cuts the (x)-axis three times. What can be the minimum possible degree of that polynomial?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 3

Exam Tip

किसी बहुपद के वास्तविक शून्यकों की संख्या उसकी डिग्री से अधिक नहीं हो सकती। तीन कटान के लिए न्यूनतम डिग्री (3) है।

Open Question Page

Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को तीन अलग बिंदुओं पर काटता है, तो बहुपद की न्यूनतम संभावित घात क्या हो सकती है?

If a polynomial graph cuts the (x)-axis at three distinct points, what can be the minimum possible degree of the polynomial?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (3). For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

तीन अलग वास्तविक शून्यकों के लिए घात कम से कम (3) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=-2), (x=0) और (x=3) पर काटता है, तो सबसे कम घात का मोनिक बहुपद कौन-सा है?

If the graph of a polynomial cuts the (x)-axis at (x=-2), (x=0), and (x=3), which is the monic polynomial of least degree?

Explanation opens after your attempt

Correct Answer

A. $x^3-x^2-6x$

Step 1

Concept

The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x^-3-x^-2-6x). Intersections with the (x)-axis give zeroes.

Step 2

Why this answer is correct

The correct answer is A. $x^3-x^2-6x$. The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x^-3-x^-2-6x). Intersections with the (x)-axis give zeroes.

Step 3

Exam Tip

शून्यक (-2,0,3) हैं, इसलिए बहुपद (x(x+2)(x-3)=x^-3-x^-2-6x) है। (x)-अक्ष काटने के बिंदु शून्यक बताते हैं।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा बहुपद (x) में (0) घात का है?

Which polynomial in (x) has degree (0)?

Explanation opens after your attempt

Correct Answer

A. (12)

Step 1

Concept

The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.

Step 2

Why this answer is correct

The correct answer is A. (12). The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.

Step 3

Exam Tip

(12) शून्य से भिन्न स्थिर बहुपद है और इसकी घात (0) है। (0) बहुपद की घात परिभाषित नहीं होती।

Open Question Page

Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा बहुपद (x) में (4) घात का है?

Which polynomial in (x) has degree (4)?

Explanation opens after your attempt

Correct Answer

A. $x^4+x^2+1$

Step 1

Concept

The highest power in $x^4+x^2+1$ is (4). So its degree is (4).

Step 2

Why this answer is correct

The correct answer is A. $x^4+x^2+1$. The highest power in $x^4+x^2+1$ is (4). So its degree is (4).

Step 3

Exam Tip

$x^4+x^2+1$ में सबसे बड़ी घात (4) है। इसलिए इसकी घात (4) है।

Open Question Page

Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि बहुपद का ग्राफ (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो डिग्री के बारे में कौन सा कथन सही है?

If the graph of a polynomial cuts the (x)-axis at four distinct points, which statement about its degree is correct?

Explanation opens after your attempt

Correct Answer

A. डिग्री कम से कम (4) होगीThe degree is at least (4)

Step 1

Concept

Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is A. डिग्री कम से कम (4) होगी / The degree is at least (4). Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यक के लिए डिग्री कम से कम चार चाहिए। शून्यकों की संख्या डिग्री से अधिक नहीं होती।

Open Question Page

Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि कोई बहुपद (x)-अक्ष को आठ अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at eight distinct points, what is the minimum possible degree?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (8). For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

आठ अलग वास्तविक शून्यकों के लिए घात कम से कम (8) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि कोई बहुपद (x)-अक्ष को सात अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at seven distinct points, what is the minimum possible degree?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (7). For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

सात अलग वास्तविक शून्यकों के लिए घात कम से कम (7) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि कोई बहुपद (x)-अक्ष को चार अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at four distinct points, what is the minimum possible degree?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि किसी बहुपद का ग्राफ (x)-अक्ष को पाँच अलग बिंदुओं पर काटता है तो बहुपद की न्यूनतम घात क्या हो सकती है?

If a polynomial graph cuts the (x)-axis at five distinct points, what can be the minimum degree of the polynomial?

Explanation opens after your attempt

Correct Answer

D. (5)

Step 1

Concept

For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is D. (5). For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.

Step 3

Exam Tip

पाँच अलग वास्तविक शून्यकों के लिए घात कम से कम (5) होनी चाहिए। टिप: शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी बहुपद का आलेख (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो उसका न्यूनतम संभावित घात क्या हो सकता है?

If a polynomial graph cuts the (x)-axis at four distinct points, what can be its minimum possible degree?

Explanation opens after your attempt

Correct Answer

D. (4)

Step 1

Concept

For four distinct real zeroes, the degree must be at least (4). Tip: the number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is D. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होना चाहिए। टिप: शून्यकों की संख्या घात से अधिक नहीं हो सकती।

Open Question Page

Question Expert General Knowledge World History United Nations History Class 10 Level 63

संयुक्त राष्ट्र शांति स्थापना को अध्याय छह और सात के बीच की व्यवस्था क्यों कहा जाता है?

Why is UN peacekeeping sometimes called an arrangement between Chapter VI and Chapter VII?

Explanation opens after your attempt

Correct Answer

A. क्योंकि यह सहमति आधारित शांति उपाय और सीमित सुरक्षा कार्रवाई दोनों के बीच स्थित होती हैBecause it lies between consent based peace measures and limited security action

Step 1

Concept

Peacekeeping often becomes a practical path between diplomacy and force. For exams treat it as an evolved UN role.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि यह सहमति आधारित शांति उपाय और सीमित सुरक्षा कार्रवाई दोनों के बीच स्थित होती है / Because it lies between consent based peace measures and limited security action. Peacekeeping often becomes a practical path between diplomacy and force. For exams treat it as an evolved UN role.

Step 3

Exam Tip

शांति स्थापना अक्सर कूटनीति और बल प्रयोग के बीच व्यावहारिक रास्ता बनती है। परीक्षा में इसे संयुक्त राष्ट्र की विकसित भूमिका मानें।

Open Question Page

Question Easy Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

समान्तर श्रेणी $19,29,39,\ldots$ के पहले (6) पदों का योग क्या है?

What is the sum of the first (6) terms of the AP $19,29,39,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (264)

Step 1

Concept

The sixth term is (69). (S_6=\frac{6}{2}(19+69)=264).

Step 2

Why this answer is correct

The correct answer is A. (264). The sixth term is (69). (S_6=\frac{6}{2}(19+69)=264).

Step 3

Exam Tip

छठा पद (69) है। (S_6=\frac{6}{2}(19+69)=264)।

Open Question Page

Question Easy Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

समान्तर श्रेणी $100,90,80,\ldots$ के पहले (6) पदों का योग क्या है?

What is the sum of the first (6) terms of the AP $100,90,80,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (450)

Step 1

Concept

The sixth term is (50). (S_6=\frac{6}{2}(100+50)=450).

Step 2

Why this answer is correct

The correct answer is C. (450). The sixth term is (50). (S_6=\frac{6}{2}(100+50)=450).

Step 3

Exam Tip

छठा पद (50) है। (S_6=\frac{6}{2}(100+50)=450)।

Open Question Page

Question Easy Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

दशमलव $0.\overline{6}$ किस भिन्न के बराबर है?

Which fraction is equal to $0.\overline{6}$?

Explanation opens after your attempt

Correct Answer

A. $\frac{2}{3}$

Step 1

Concept

$0.\overline{6}=0.666\ldots$.

Step 2

Why this answer is correct

This is the decimal expansion of $\frac{2}{3}$.

Step 3

Exam Tip

Understand the difference between (0.6) and $0.\overline{6}$. चरण 1: $0.\overline{6}=0.666\ldots$ है। चरण 2: यह $\frac{2}{3}$ का दशमलव विस्तार है। चरण 3: (0.6) और $0.\overline{6}$ को अलग-अलग समझें।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=ax^-2+bx+c) और (p(1)=p(2)=p(3)=0), तो कौन-सा निष्कर्ष सही है?

If (p(x)=ax^-2+bx+c) and (p(1)=p(2)=p(3)=0), which conclusion is correct?

Explanation opens after your attempt

Correct Answer

A. (p(x)) शून्य बहुपद है(p(x)) is the zero polynomial

Step 1

Concept

A polynomial of degree at most (2) can have three distinct zeroes only if it is the zero polynomial. A non-zero polynomial cannot have more distinct zeroes than its degree.

Step 2

Why this answer is correct

The correct answer is A. (p(x)) शून्य बहुपद है / (p(x)) is the zero polynomial. A polynomial of degree at most (2) can have three distinct zeroes only if it is the zero polynomial. A non-zero polynomial cannot have more distinct zeroes than its degree.

Step 3

Exam Tip

अधिकतम द्विघात बहुपद के तीन अलग-अलग शून्यक तभी हो सकते हैं जब वह शून्य बहुपद हो। घात से अधिक अलग शून्यक असंभव होते हैं।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

निम्न में से कौन-सा (x) में रेखीय बहुपद है?

Which of the following is a linear polynomial in (x)?

Explanation opens after your attempt

Correct Answer

A. (5x-9)

Step 1

Concept

A linear polynomial has degree (1), so (5x-9) is linear. Its leading coefficient must be non-zero.

Step 2

Why this answer is correct

The correct answer is A. (5x-9). A linear polynomial has degree (1), so (5x-9) is linear. Its leading coefficient must be non-zero.

Step 3

Exam Tip

रेखीय बहुपद की घात (1) होती है, इसलिए (5x-9) रेखीय है। प्रमुख गुणांक शून्य नहीं होना चाहिए।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

निम्न में से कौन-सा स्थिर बहुपद है?

Which of the following is a constant polynomial?

Explanation opens after your attempt

Correct Answer

A. (7)

Step 1

Concept

A constant polynomial has no variable term, so (7) is a constant polynomial. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is A. (7). A constant polynomial has no variable term, so (7) is a constant polynomial. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

स्थिर बहुपद में चर का पद नहीं होता, इसलिए (7) स्थिर बहुपद है। अशून्य स्थिर बहुपद की घात (0) होती है।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

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।

Open Question Page

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि बहुपद (p(x)=kx^-3+2x^-2-3x+1) वास्तव में द्विघात बहुपद है, तो (k) का मान क्या होगा?

If (p(x)=kx^-3+2x^-2-3x+1) is actually a quadratic polynomial, what must be the value of (k)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For it to be quadratic, the coefficient of $x^3$ must be (0), while the coefficient of $x^2$ is non-zero. Focus on the leading non-zero term.

Step 2

Why this answer is correct

The correct answer is A. (0). For it to be quadratic, the coefficient of $x^3$ must be (0), while the coefficient of $x^2$ is non-zero. Focus on the leading non-zero term.

Step 3

Exam Tip

द्विघात होने के लिए $x^3$ का गुणांक (0) होना चाहिए और $x^2$ का गुणांक अशून्य है। घात पहचानते समय प्रमुख पद पर ध्यान दें।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

$x^4-1$ के रैखिक गुणनखंडों में से कौन सा गलत है?

Which one is not a linear factor of $x^4-1$?

Explanation opens after your attempt

Correct Answer

C. $x^2+1$

Step 1

Concept

$x^2+1$ is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 2

Why this answer is correct

The correct answer is C. $x^2+1$. $x^2+1$ is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 3

Exam Tip

$x^2+1$ रैखिक नहीं है क्योंकि उसकी घात (2) है। वास्तविक संख्याओं में इसे रैखिक गुणनखंड नहीं माना जाता।

Open Question Page

Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=ax^-3+bx^-2+cx+d) में $a\ne0$ है। यदि (p(x)) को रैखिक बहुपद कहा जाए, तो यह कथन क्यों गलत है?

In the polynomial (p(x)=ax^-3+bx^-2+cx+d), $a\ne0$. Why is it wrong to call (p(x)) a linear polynomial?

Explanation opens after your attempt

Correct Answer

C. क्योंकि घात (3) हैBecause degree is (3)

Step 1

Concept

The highest power is (3), so the polynomial is cubic. In exams, always check the highest non-zero exponent.

Step 2

Why this answer is correct

The correct answer is C. क्योंकि घात (3) है / Because degree is (3). The highest power is (3), so the polynomial is cubic. In exams, always check the highest non-zero exponent.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद घन है। परीक्षा में हमेशा सबसे बड़े शून्येतर घातांक को देखें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

कौन सा कथन (p(x)=x^-3+1) के बारे में सही है?

Which statement about (p(x)=x^-3+1) is correct?

Explanation opens after your attempt

Correct Answer

C. यह घन बहुपद हैIt is a cubic polynomial

Step 1

Concept

In (p(x)=x^-3+1), the highest power is (3), so it is a cubic polynomial. Decide the type of a polynomial by its degree.

Step 2

Why this answer is correct

The correct answer is C. यह घन बहुपद है / It is a cubic polynomial. In (p(x)=x^-3+1), the highest power is (3), so it is a cubic polynomial. Decide the type of a polynomial by its degree.

Step 3

Exam Tip

(p(x)=x^-3+1) में सबसे बड़ी घात (3) है इसलिए यह घन बहुपद है। बहुपद का प्रकार उसकी घात से तय करें।

Open Question Page

Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (p(z)=-6z^-5+4z^-4-z+8) का अग्र गुणांक क्या है?

What is the leading coefficient of (p(z)=-6z^-5+4z^-4-z+8)?

Explanation opens after your attempt

Correct Answer

A. (-6)

Step 1

Concept

The coefficient of the highest power term $z^5$ is (-6). The leading coefficient is written with its sign.

Step 2

Why this answer is correct

The correct answer is A. (-6). The coefficient of the highest power term $z^5$ is (-6). The leading coefficient is written with its sign.

Step 3

Exam Tip

सबसे बड़ी घात $z^5$ के पद का गुणांक (-6) है। अग्र गुणांक संकेत सहित लिखा जाता है।

Open Question Page

Search Class 10 Questions

यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि कोई बहुपद (x)-अक्ष को छह अलग बिंदुओं पर काटता है तो न्यूनतम संभावित घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

शेख मुजीबुर रहमान का छह सूत्रीय कार्यक्रम किस मांग से जुड़ा था?

Concept

Why this answer is correct

Exam Tip

एक छात्र \(x^2+2x+1\) की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?

Concept

Why this answer is correct

Exam Tip

भारत के छह प्रमुख भौतिक विभागों में कौन सा जोड़ा सही है?

Concept

Why this answer is correct

Exam Tip

कौन सा भूभाग भारत के छह मुख्य भौतिक विभागों में शामिल है?

Concept

Why this answer is correct

Exam Tip

विश्व बैंक और आई एम एफ को संयुक्त राष्ट्र के छह प्रमुख अंगों में गिनना क्यों गलत है?

Concept

Why this answer is correct

Exam Tip

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं का सही समूह कौन सा है?

Concept

Why this answer is correct

Exam Tip

संयुक्त राष्ट्र के छह आधिकारिक भाषाओं की नीति का मुख्य लाभ क्या है?

Concept

Why this answer is correct

Exam Tip

संयुक्त राष्ट्र की विशेष एजेंसियां सीधे छह प्रमुख अंगों जैसी क्यों नहीं मानी जातीं?

Concept

Why this answer is correct

Exam Tip

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं का उद्देश्य क्या है?

Concept

Why this answer is correct

Exam Tip

संयुक्त राष्ट्र की छह आधिकारिक भाषाओं में कौन सी भाषा शामिल है?

Concept

Why this answer is correct

Exam Tip

पिता और पुत्र की आयु का योग (56) वर्ष है। (6) वर्ष पहले पिता की आयु पुत्र की आयु की (3) गुनी थी। पिता की वर्तमान आयु क्या है?

Concept

Why this answer is correct

Exam Tip

छह लगातार पूर्णांकों में से कम से कम एक संख्या 6 से विभाज्य क्यों होती है?

Concept

Why this answer is correct

Exam Tip

अम्लता मान तीन से छह होने पर कौन सा निष्कर्ष सबसे सही है?

Concept

Why this answer is correct

Exam Tip

पीएच दो और पीएच छह में कौन सा विलयन अधिक अम्लीय होगा?

Concept

Why this answer is correct

Exam Tip

पीएच छह और पीएच तीन में कौन सा विलयन अधिक अम्लीय होगा?

Concept

Why this answer is correct

Exam Tip

जल के वैद्युत वियोजन में यदि हाइड्रोजन छत्तीस मिलीलीटर है तो ऑक्सीजन का अपेक्षित आयतन कितना होगा?

Concept

Why this answer is correct

यदि (p(x)=(k-3)x^-5+2x^-3-x+9) की घात (3) है, तो (k) क्या है?

यदि (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) की घात (4) है, तो (m) क्या है?

यदि (p(x)=ax^-5+bx^-4+cx^-3+d) में (a=0), \(b\ne0\) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=6x^-5-4x^-2+1) और (q(x)=-6x^-5+3x^-4+x-9) के योग की घात क्या है?

यदि (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) की घात (4) है, तो (a) क्या होगा?

किस मान के लिए (p(x)=(m^-2)x^-4+3x^-2+x+1) की घात (2) से अधिक नहीं होगी?

यदि (p(x)=x^-4-5x^-2+4) है, तो (p(x)) का घात कितना है?

यदि (p(x)=mx^-4+(m+2)x^-3+5x+1) की घात (3) है, तो (m) क्या है?

यदि (p(x)=ax^-4+bx^-3+cx^-2+d) में (a=0), (b=0) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=5x^-4-2x^-2+1) और (q(x)=-5x^-4+3x^-3+x-6) के योग की घात क्या है?

यदि (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) की घात (4) है, तो (m) क्या होगा?

यदि (p(x)=mx^-3+(m^-1)x^-2+2x+1) की घात (2) है, तो (m) क्या है?

यदि (p(x)=ax^-3+bx^-2+cx+d) में (a=0) और \(b\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=4x^-4-3x^-2+2) और (q(x)=-4x^-4+5x^-3+x-8) के योग की घात क्या है?

यदि (p(x)=(a-5)x^-5+2x^-3-7x+4) की घात (3) है, तो (a) क्या होगा?

यदि (p(x)=(k-4)x^-4+3x^-2-5x+2) की घात (2) है, तो (k) का मान क्या होगा?