Search Class 10 Questions

100 results found for "degree zero count" in Class 10.

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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।

Open Question Page
Ask Friends

माया सभ्यता में लंबी गणना कैलेंडर का उपयोग किसलिए किया जाता था?

What was the Maya Long Count calendar used for?

Explanation opens after your attempt
Correct Answer

B. लंबे ऐतिहासिक समय को दर्ज करने के लिएTo record long historical time

Step 1

Concept

The Long Count system helped record long dates and royal events. For exams treat Maya chronology as advanced.

Step 2

Why this answer is correct

The correct answer is B. लंबे ऐतिहासिक समय को दर्ज करने के लिए / To record long historical time. The Long Count system helped record long dates and royal events. For exams treat Maya chronology as advanced.

Step 3

Exam Tip

लंबी गणना प्रणाली लंबी तिथियों और राजकीय घटनाओं को दर्ज करने में सहायक थी। परीक्षा में माया कालगणना को उन्नत मानें।

Open Question Page
Ask Friends

माया लांग काउंट कैलेंडर किस प्रकार की बौद्धिक क्षमता का प्रमाण है?

The Maya Long Count calendar is evidence of what intellectual ability?

Explanation opens after your attempt
Correct Answer

A. लंबी अवधि की तिथि गणना और खगोलीय समझLong-term date reckoning and astronomical understanding

Step 1

Concept

The Long Count calendar is famous for long-term date reckoning. Link it with Maya mathematics and astronomy.

Step 2

Why this answer is correct

The correct answer is A. लंबी अवधि की तिथि गणना और खगोलीय समझ / Long-term date reckoning and astronomical understanding. The Long Count calendar is famous for long-term date reckoning. Link it with Maya mathematics and astronomy.

Step 3

Exam Tip

लांग काउंट कैलेंडर लंबी तिथि गणना के लिए प्रसिद्ध है। परीक्षा में इसे माया गणित और खगोल से जोड़ें।

Open Question Page
Ask Friends

माया लांग काउंट कैलेंडर किस बौद्धिक उपलब्धि का प्रमाण है?

The Maya Long Count calendar is evidence of which intellectual achievement?

Explanation opens after your attempt
Correct Answer

A. लंबी अवधि की तिथि गणनाLong-term date reckoning

Step 1

Concept

The Long Count calendar was useful for long date reckoning. Link it with Maya mathematics and astronomy.

Step 2

Why this answer is correct

The correct answer is A. लंबी अवधि की तिथि गणना / Long-term date reckoning. The Long Count calendar was useful for long date reckoning. Link it with Maya mathematics and astronomy.

Step 3

Exam Tip

लांग काउंट कैलेंडर लंबी तिथि गणना में उपयोगी था। परीक्षा में इसे माया गणित और खगोल ज्ञान से जोड़ें।

Open Question Page
Ask Friends

माया लांग काउंट कैलेंडर का मुख्य उपयोग क्या था?

What was the main use of the Maya Long Count calendar?

Explanation opens after your attempt
Correct Answer

A. लंबे समय की तिथि गणनाLong term date reckoning

Step 1

Concept

The Long Count calendar was useful for recording long periods of dates. Link it with Maya astronomy and calculation.

Step 2

Why this answer is correct

The correct answer is A. लंबे समय की तिथि गणना / Long term date reckoning. The Long Count calendar was useful for recording long periods of dates. Link it with Maya astronomy and calculation.

Step 3

Exam Tip

लांग काउंट कैलेंडर लंबी अवधि की तिथियों को दर्ज करने के लिए उपयोगी था। परीक्षा में इसे माया खगोल और गणना से जोड़ें।

Open Question Page
Ask Friends

माया लांग काउंट कैलेंडर किस उद्देश्य के लिए उपयोगी था?

The Maya Long Count calendar was useful for what purpose?

Explanation opens after your attempt
Correct Answer

A. लंबे समय की तिथियों को दर्ज करने के लिएRecording long periods of dates

Step 1

Concept

The Long Count calendar was useful for long date reckoning. Connect it with Maya mathematics and astronomy.

Step 2

Why this answer is correct

The correct answer is A. लंबे समय की तिथियों को दर्ज करने के लिए / Recording long periods of dates. The Long Count calendar was useful for long date reckoning. Connect it with Maya mathematics and astronomy.

Step 3

Exam Tip

लांग काउंट कैलेंडर लंबी तिथि गणना के लिए उपयोगी था। परीक्षा में इसे माया गणना और खगोल ज्ञान से जोड़ें।

Open Question Page
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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
Ask Friends

(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
Ask Friends

\(3x^4+0x^3-2x+5\) 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
Ask Friends

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
Ask Friends

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।

Open Question Page
Ask Friends

यदि किसी बहुपद का ग्राफ (x)-अक्ष को चार बार काटता दिखे, तो यह किस प्रकार के बहुपद के लिए संभव हो सकता है?

If a polynomial graph appears to cut the (x)-axis four times, for which type of polynomial can this be possible?

Explanation opens after your attempt
Correct Answer

C. चतुर्थ घात बहुपदFourth degree polynomial

Step 1

Concept

A degree (4) polynomial can have at most (4) real zeroes. Tip: the number of real zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. चतुर्थ घात बहुपद / Fourth degree polynomial. A degree (4) polynomial can have at most (4) real zeroes. Tip: the number of real zeroes cannot exceed the degree.

Step 3

Exam Tip

घात (4) वाला बहुपद अधिकतम (4) वास्तविक शून्यक रख सकता है। टिप: वास्तविक शून्यकों की संख्या घात से अधिक नहीं होती।

Open Question Page
Ask Friends

कौन सा बहुपद (x=0) को शून्य बनाता है?

Which polynomial makes (x=0) a zero?

Explanation opens after your attempt
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।

Open Question Page
Ask Friends

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)।

Open Question Page
Ask Friends

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

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

Explanation opens after your attempt
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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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

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

Explanation opens after your attempt
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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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
Ask Friends

एक परीक्षा में (x) विद्यार्थी हैं और प्रत्येक को (x-18) प्रश्न दिए गए। कुल प्रश्न गिनती (1600) है। विद्यार्थियों की संख्या क्या है?

In an exam, there are (x) students and each is given (x-18) questions. The total question count is (1600). What is the number of students?

Explanation opens after your attempt
Correct Answer

C. (50)

Step 1

Concept

The total count is (x(x-18)=1600). This gives (x=50).

Step 2

Why this answer is correct

The correct answer is C. (50). The total count is (x(x-18)=1600). This gives (x=50).

Step 3

Exam Tip

कुल गिनती (x(x-18)=1600) है। इससे (x=50) मिलता है।

Open Question Page
Ask Friends

एक परीक्षा में (x) विद्यार्थी हैं और प्रत्येक को (x-11) प्रश्न दिए गए। कुल प्रश्न गिनती (1050) है। विद्यार्थियों की संख्या क्या है?

In an exam, there are (x) students and each is given (x-11) questions. The total question count is (1050). What is the number of students?

Explanation opens after your attempt
Correct Answer

D. (42)

Step 1

Concept

The total count is (x(x-11)=1050). This gives (x=42).

Step 2

Why this answer is correct

The correct answer is D. (42). The total count is (x(x-11)=1050). This gives (x=42).

Step 3

Exam Tip

कुल गिनती (x(x-11)=1050) है। इससे (x=42) मिलता है।

Open Question Page
Ask Friends

एक परीक्षा में (x) विद्यार्थी हैं और प्रत्येक को (x-7) प्रश्न दिए गए। कुल प्रश्न गिनती (725) है। विद्यार्थियों की संख्या क्या है?

In an exam, there are (x) students and each is given (x-7) questions. The total question count is (725). What is the number of students?

Explanation opens after your attempt
Correct Answer

B. (29)

Step 1

Concept

The total count is (x(x-7)=725). This gives (x=29).

Step 2

Why this answer is correct

The correct answer is B. (29). The total count is (x(x-7)=725). This gives (x=29).

Step 3

Exam Tip

कुल गिनती (x(x-7)=725) है। इससे (x=29) मिलता है।

Open Question Page
Ask Friends

एक परीक्षा में (x) विद्यार्थी हैं और प्रत्येक को (x-5) प्रश्न दिए गए। कुल प्रश्न गिनती (414) है। विद्यार्थियों की संख्या क्या है?

In an exam, there are (x) students and each is given (x-5) questions. The total question count is (414). What is the number of students?

Explanation opens after your attempt
Correct Answer

B. (23)

Step 1

Concept

The total count is (x(x-5)=414). This gives (x=23).

Step 2

Why this answer is correct

The correct answer is B. (23). The total count is (x(x-5)=414). This gives (x=23).

Step 3

Exam Tip

कुल गिनती (x(x-5)=414) है। इससे (x=23) मिलता है।

Open Question Page
Ask Friends

प्लेटलेट्स की संख्या बहुत कम होने पर छोटी चोट भी गंभीर क्यों हो सकती है?

Why can even a small injury become serious when platelet count is very low?

Explanation opens after your attempt
Correct Answer

A. रक्त का थक्का बनने में कठिनाई होगीBlood clotting will be difficult

Step 1

Concept

Platelets help form clots.

Step 2

Why this answer is correct

Clots stop bleeding.

Step 3

Exam Tip

Low platelets increase the risk of excessive blood loss. चरण 1: प्लेटलेट्स थक्का बनाने में सहायता करते हैं। चरण 2: थक्का रक्त बहना रोकता है। चरण 3: प्लेटलेट्स कम होने पर अधिक रक्त हानि का खतरा बढ़ जाता है।

Open Question Page
Ask Friends

काउंट कावूर की कूटनीति मैजिनी की राष्ट्रवादी कल्पना से किस प्रकार अलग थी?

How was Count Cavour's diplomacy different from Mazzini's nationalist vision?

Explanation opens after your attempt
Correct Answer

A. कावूर ने राज्य शक्ति और विदेशी सहयोग का प्रयोग कियाCavour used state power and foreign alliances

Step 1

Concept

Mazzini was linked with ideas and inspiration.

Step 2

Why this answer is correct

Cavour used the government, army, and diplomacy of Sardinia-Piedmont.

Step 3

Exam Tip

Their methods were different but the goal was national unity. चरण 1: मैजिनी विचार और प्रेरणा से जुड़े थे। चरण 2: कावूर ने सार्डिनिया पीडमोंट की सरकार, सेना और कूटनीति का उपयोग किया। चरण 3: इसलिए दोनों की विधियां अलग थीं पर लक्ष्य राष्ट्रीय एकता था।

Open Question Page
Ask Friends

काउंट कावूर ने इटली के एकीकरण में मुख्य रूप से किस साधन का उपयोग किया?

What method did Count Cavour mainly use in Italian unification?

Explanation opens after your attempt
Correct Answer

A. कूटनीति और युद्धDiplomacy and war

Step 1

Concept

Cavour was a practical leader.

Step 2

Why this answer is correct

He used foreign support and war to strengthen Sardinia-Piedmont.

Step 3

Exam Tip

Connect Cavour's role with diplomacy. चरण 1: कावूर व्यावहारिक नेता थे। चरण 2: उन्होंने विदेशी सहायता और युद्ध का उपयोग कर सार्डिनिया पीडमोंट को मजबूत किया। चरण 3: कावूर की भूमिका को कूटनीति से जोड़ें।

Open Question Page
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

(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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

(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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

(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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

\(x^2+1\), \(x^3+x\), (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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

\(x^5+1\) 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
Ask Friends

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
Ask Friends

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
Ask Friends

\(6x^4-2x^2+x-8\) 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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

(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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends

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
Ask Friends