\(12x^2-7x+4\) किस प्रकार का बहुपद है?
What type of polynomial is \(12x^2-7x+4\)?
#trinomial
#terms
#classification
A एकपदी / Monomial
B द्विपदी / Binomial
C त्रिपदी / Trinomial
D शून्य बहुपद / Zero polynomial
Explanation opens after your attempt
Correct Answer
C. त्रिपदी / Trinomial
Step 1
Concept
It has (3) effective terms, so it is a trinomial. The name is identified by the number of terms.
Step 2
Why this answer is correct
The correct answer is C. त्रिपदी / Trinomial. It has (3) effective terms, so it is a trinomial. The name is identified by the number of terms.
Step 3
Exam Tip
इसमें (3) प्रभावी पद हैं इसलिए यह त्रिपदी है। पदों की संख्या से नाम पहचाना जाता है।
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बहुपद \(7x^4-3x^3+0x^2+5\) में प्रभावी पदों की संख्या कितनी है?
How many effective terms are there in the polynomial \(7x^4-3x^3+0x^2+5\)?
#terms
#zero coefficient
#polynomial
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term \(0x^2\) is not effective, so the terms are \(7x^4\), \(-3x^3\), and (5). Do not count a term with zero coefficient.
Step 2
Why this answer is correct
The correct answer is B. (3). The term \(0x^2\) is not effective, so the terms are \(7x^4\), \(-3x^3\), and (5). Do not count a term with zero coefficient.
Step 3
Exam Tip
\(0x^2\) प्रभावी पद नहीं है इसलिए पद \(7x^4\), \(-3x^3\) और (5) हैं। शून्य गुणांक वाले पद को न गिनें।
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कौन सा विकल्प \(x^3-1\) के प्रकार को सही बताता है?
Which option correctly describes the type of \(x^3-1\)?
#cubic-binomial
#classification
#terms
A रैखिक द्विपदी / Linear binomial
B द्विघात त्रिपदी / Quadratic trinomial
C त्रिघात द्विपदी / Cubic binomial
D नियत एकपदी / Constant monomial
Explanation opens after your attempt
Correct Answer
C. त्रिघात द्विपदी / Cubic binomial
Step 1
Concept
\(x^3-1\) has degree (3) and (2) terms. So it is a cubic binomial.
Step 2
Why this answer is correct
The correct answer is C. त्रिघात द्विपदी / Cubic binomial. \(x^3-1\) has degree (3) and (2) terms. So it is a cubic binomial.
Step 3
Exam Tip
\(x^3-1\) की घात (3) है और इसमें (2) पद हैं। इसलिए यह त्रिघात द्विपदी है।
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कौन सा विकल्प \(x^2-5x+6\) को पदों के सही समूह के रूप में दिखाता है?
Which option shows the correct group of terms of \(x^2-5x+6\)?
#terms
#signs
#trinomial
A \(x^2\), (-5x), (6)
B \(x^2\), (5x), (6)
C (x), (-5), (6)
D \(x^2-5\), (x+6)
Explanation opens after your attempt
Correct Answer
A. \(x^2\), (-5x), (6)
Step 1
Concept
The terms with signs are \(x^2\), (-5x), and (6). Keep the negative sign with the term while identifying terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^2\), (-5x), (6). The terms with signs are \(x^2\), (-5x), and (6). Keep the negative sign with the term while identifying terms.
Step 3
Exam Tip
चिह्न सहित पद \(x^2\), (-5x) और (6) हैं। पद पहचानते समय ऋण चिह्न साथ रखें।
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बहुपद \(8x^2-3x+1\) किस प्रकार का है?
What type of polynomial is \(8x^2-3x+1\)?
#trinomial
#classification
#terms
A एकपदी / Monomial
B द्विपदी / Binomial
C त्रिपदी / Trinomial
D शून्य बहुपद / Zero polynomial
Explanation opens after your attempt
Correct Answer
C. त्रिपदी / Trinomial
Step 1
Concept
It has three terms, so it is a trinomial. Identify the type by counting terms.
Step 2
Why this answer is correct
The correct answer is C. त्रिपदी / Trinomial. It has three terms, so it is a trinomial. Identify the type by counting terms.
Step 3
Exam Tip
इसमें तीन पद हैं इसलिए यह त्रिपदी है। पदों की संख्या से प्रकार पहचानें।
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बहुपद (p(x)=2x-3 -5x-2 +4x-1) में कितने पद हैं?
How many terms are there in (p(x)=2x-3 -5x-2 +4x-1)?
#terms
#polynomial
#counting
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The separate terms are \(2x^3\), \(-5x^2\), (4x), and (-1). Count terms with their signs.
Step 2
Why this answer is correct
The correct answer is C. (4). The separate terms are \(2x^3\), \(-5x^2\), (4x), and (-1). Count terms with their signs.
Step 3
Exam Tip
अलग अलग पद \(2x^3\), \(-5x^2\), (4x) और (-1) हैं। चिह्न के साथ पद गिनें।
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बहुपद \(7x^2+5\) में कितने पद हैं?
How many terms are there in \(7x^2+5\)?
#terms
#binomial
A (1)
B (2)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
The terms are \(7x^2\) and (5). Therefore it has (2) terms.
Step 2
Why this answer is correct
The correct answer is B. (2). The terms are \(7x^2\) and (5). Therefore it has (2) terms.
Step 3
Exam Tip
पद \(7x^2\) और (5) हैं। इसलिए इसमें (2) पद हैं।
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\(4x^2+0x+9\) में कितने शून्य गुणांक वाले पद को स्पष्ट लिखा गया है?
How many terms with zero coefficient are explicitly written in \(4x^2+0x+9\)?
#zero-coefficient
#terms
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 2
Why this answer is correct
The correct answer is B. (1). (0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 3
Exam Tip
(0x) एक ऐसा पद है जिसका गुणांक (0) है। शून्य गुणांक वाला पद लिखने पर भी मान नहीं बदलता।
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बहुपद \(x^2-5x+6\) में पदों की संख्या कितनी है?
How many terms are in the polynomial \(x^2-5x+6\)?
#polynomials
#terms
#easy
#trinomial
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
It has three terms: \(x^2\), (-5x), and (6). Count terms with their signs.
Step 2
Why this answer is correct
The correct answer is C. (3). It has three terms: \(x^2\), (-5x), and (6). Count terms with their signs.
Step 3
Exam Tip
इसमें \(x^2\), (-5x) और (6) तीन पद हैं। चिह्न सहित पद गिनें।
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बहुपद \(3x^2+2x-1\) में कितने पद हैं?
How many terms are there in the polynomial \(3x^2+2x-1\)?
#polynomials
#terms
#easy
#classification
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The terms are \(3x^2\), (2x), and (-1). Separate terms by plus or minus signs.
Step 2
Why this answer is correct
The correct answer is C. (3). The terms are \(3x^2\), (2x), and (-1). Separate terms by plus or minus signs.
Step 3
Exam Tip
यहाँ पद \(3x^2\), (2x) और (-1) हैं। पदों को जोड़ या घटाव के संकेतों से अलग करें।
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बहुपद (p(x)=7x-2 -1) में कितने पद हैं?
How many terms are there in (p(x)=7x-2 -1)?
#terms
#binomial
#polynomials
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
There are two terms \(7x^2\) and (-1). So it is also a binomial.
Step 2
Why this answer is correct
The correct answer is B. (2). There are two terms \(7x^2\) and (-1). So it is also a binomial.
Step 3
Exam Tip
\(7x^2\) और (-1) दो पद हैं। इसलिए यह द्विपदी भी है।
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बहुपद \(9x^4-2x^3+7\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(9x^4-2x^3+7\)?
#coefficient
#terms
#polynomials
A (9)
B \(-2\)
C (7)
D (3)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 2
Why this answer is correct
The correct answer is B. \(-2\). The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 3
Exam Tip
\(x^3\) के साथ (-2) लगा है। इसलिए \(x^3\) का गुणांक (-2) है।
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बहुपद (q(x)=x-3 +2x-2 -x+4) में कुल कितने पद हैं?
How many terms are there in (q(x)=x-3 +2x-2 -x+4)?
#terms
#polynomials
#counting
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
It has four terms \(x^3\), \(2x^2\), (-x), and (4). In exams, identify terms separated by (+) or (-).
Step 2
Why this answer is correct
The correct answer is C. (4). It has four terms \(x^3\), \(2x^2\), (-x), and (4). In exams, identify terms separated by (+) or (-).
Step 3
Exam Tip
इसमें \(x^3\), \(2x^2\), (-x) और (4) चार पद हैं। परीक्षा में पदों को (+) या (-) से अलग पहचानें।
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बहुपद \(5x^4-3x^2+x-6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^4-3x^2+x-6\)?
#coefficient
#polynomials
#terms
A (5)
B \(-3\)
C (1)
D \(-6\)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 2
Why this answer is correct
The correct answer is B. \(-3\). The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणांक (-3) है। परीक्षा में पद का चिह्न भी गुणांक में शामिल करें।
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(6x+7y+4) में पदों की संख्या कितनी है?
How many terms are there in (6x+7y+4)?
#polynomials
#terms
#basics
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The expression has three terms: (6x), (7y), and (4). Identify terms by plus or minus signs.
Step 2
Why this answer is correct
The correct answer is C. (3). The expression has three terms: (6x), (7y), and (4). Identify terms by plus or minus signs.
Step 3
Exam Tip
इस व्यंजक में (6x), (7y) और (4) तीन पद हैं। पदों को जोड़ या घटाव से अलग पहचानें।
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(4x+5y+2) में पदों की संख्या कितनी है?
How many terms are there in (4x+5y+2)?
#polynomials
#terms
#basics
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The expression has three terms: (4x), (5y), and (2). Separate terms by plus or minus signs.
Step 2
Why this answer is correct
The correct answer is C. (3). The expression has three terms: (4x), (5y), and (2). Separate terms by plus or minus signs.
Step 3
Exam Tip
इस व्यंजक में (4x), (5y) और (2) तीन पद हैं। पदों को जोड़ या घटाव से अलग करें।
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(2x+3y) में पदों की संख्या कितनी है?
How many terms are there in (2x+3y)?
#polynomials
#terms
#basics
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
In (2x+3y), the two terms are (2x) and (3y). Identify terms by plus or minus signs.
Step 2
Why this answer is correct
The correct answer is B. (2). In (2x+3y), the two terms are (2x) and (3y). Identify terms by plus or minus signs.
Step 3
Exam Tip
(2x+3y) में (2x) और (3y) दो पद हैं। पदों को जोड़ या घटाव के चिह्न से अलग पहचानें।
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मानक द्विघात समीकरण \(ax^2+bx+c=0\) में अधिकतम कितने अलग-अलग पद हो सकते हैं?
In the standard quadratic equation \(ax^2+bx+c=0\), what is the maximum number of different terms?
#quadratic-equations
#terms
#standard-form
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The standard form may contain the \(x^2\) term, the (x) term, and the constant term. So the maximum number of terms is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). The standard form may contain the \(x^2\) term, the (x) term, and the constant term. So the maximum number of terms is (3).
Step 3
Exam Tip
मानक रूप में \(x^2\) पद, (x) पद और स्थिर पद हो सकते हैं। इसलिए अधिकतम (3) पद होते हैं।
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\(618=47 \times 13+7\) में (13) क्या दर्शाता है?
In \(618=47 \times 13+7\), what does (13) represent?
#real-numbers
#quotient-identification
#terms
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
C. भागफल / Quotient
Step 1
Concept
In (a=bq+r), (q) is the quotient.
Step 2
Why this answer is correct
The number multiplied with (47) is (13), so (13) is the quotient.
Step 3
Exam Tip
To identify the quotient, look at the multiplier written with the divisor. चरण 1: (a=bq+r) में (q) भागफल होता है। चरण 2: (47) के साथ गुणा होने वाली संख्या (13) है, इसलिए (13) भागफल है। चरण 3: भागफल पहचानने के लिए भाजक के साथ लिखे गुणक को देखें।
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\(618=47 \times 13+7\) में (47) क्या दर्शाता है?
In \(618=47 \times 13+7\), what does (47) represent?
#real-numbers
#divisor-identification
#terms
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
B. भाजक / Divisor
Step 1
Concept
In the Euclidean form (a=bq+r), (b) is the divisor.
Step 2
Why this answer is correct
In \(618=47 \times 13+7\), (47) is the number used for division.
Step 3
Exam Tip
Carefully identify the first number written in the product. चरण 1: यूक्लिड रूप (a=bq+r) में (b) भाजक होता है। चरण 2: \(618=47 \times 13+7\) में (47), भाग देने वाली संख्या है। चरण 3: गुणन में पहले लिखी गई संख्या को ध्यान से पहचानें।
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\(75=8 \times 9+3\) में भागफल कौन-सा है?
In \(75=8 \times 9+3\), which number is the quotient?
#real-numbers
#quotient-identification
#terms
A (75)
B (8)
C (9)
D (3)
Explanation opens after your attempt
Step 1
Concept
Compare with (a=bq+r).
Step 2
Why this answer is correct
The number multiplied with (8) is (9), so (9) is the quotient.
Step 3
Exam Tip
To identify the quotient, look at the multiplier written with the divisor. चरण 1: (a=bq+r) से तुलना करें। चरण 2: (8) के साथ गुणा होने वाली संख्या (9) है, इसलिए (9) भागफल है। चरण 3: भागफल को पहचानने के लिए भाजक के साथ लिखे गुणक को देखें।
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यूक्लिड विभाजन प्रमेय में (a=bq+r) के रूप में (a) किसे दर्शाता है?
In Euclid’s division lemma (a=bq+r), what does (a) represent?
#real-numbers
#terms
#dividend
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
A. भाज्य / Dividend
Step 1
Concept
In (a=bq+r), (a) is the number being divided.
Step 2
Why this answer is correct
Such a number is called the dividend.
Step 3
Exam Tip
Remembering the meanings of symbols helps solve questions quickly. चरण 1: (a=bq+r) में (a) वह संख्या है जिसे भाग दिया जाता है। चरण 2: ऐसी संख्या को भाज्य कहा जाता है। चरण 3: प्रतीकों के अर्थ याद रखने से सवाल जल्दी हल होते हैं।
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यदि \(90=13 \times 6+12\), तो भाग देने वाली संख्या कौन-सी है?
If \(90=13 \times 6+12\), which number is the divisor?
#real-numbers
#divisor-identification
#terms
A (90)
B (13)
C (6)
D (12)
Explanation opens after your attempt
Step 1
Concept
In the form (a=bq+r), (b) is the divisor.
Step 2
Why this answer is correct
Here (13) is multiplied by (6), so (13) is the divisor.
Step 3
Exam Tip
While identifying terms, look at the first number in the product. चरण 1: रूप (a=bq+r) में (b) भाजक होता है। चरण 2: यहाँ (13), (6) से गुणा हो रहा है, इसलिए (13) भाजक है। चरण 3: पदों की पहचान करते समय गुणा वाले पहले अंक पर ध्यान दें।
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\(76=9 \times 8+4\) में भागफल कौन-सा है?
In \(76=9 \times 8+4\), which number is the quotient?
#real-numbers
#quotient-identification
#terms
A (76)
B (9)
C (8)
D (4)
Explanation opens after your attempt
Step 1
Concept
Compare with the form (a=bq+r).
Step 2
Why this answer is correct
The number multiplied with (9) is (8), so the quotient is (8).
Step 3
Exam Tip
The quotient is written as the multiplier of the divisor. चरण 1: रूप (a=bq+r) से तुलना करें। चरण 2: (9) के साथ गुणा होने वाली संख्या (8) है, इसलिए भागफल (8) है। चरण 3: भागफल हमेशा भाजक के साथ गुणा होकर लिखा जाता है।
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\(76=9 \times 8+4\) में (4) क्या दर्शाता है?
In \(76=9 \times 8+4\), what does (4) represent?
#real-numbers
#terms
#remainder-identification
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
D. शेषफल / Remainder
Step 1
Concept
In (a=bq+r), the final added part is the remainder.
Step 2
Why this answer is correct
In \(76=9 \times 8+4\), (4) is less than (9), so it is the remainder.
Step 3
Exam Tip
Identify the terms by observing the form. चरण 1: (a=bq+r) में अंतिम जोड़ा गया भाग शेषफल होता है। चरण 2: \(76=9 \times 8+4\) में (4), (9) से छोटा है, इसलिए यह शेषफल है। चरण 3: रूप को देखकर पदों की पहचान करें।
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यूक्लिड विभाजन प्रमेय में (q) को क्या कहा जाता है?
In Euclid’s division lemma, what is (q) called?
#real-numbers
#terms
#division-lemma
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
C. भागफल / Quotient
Step 1
Concept
In (a=bq+r), (a) is the dividend and (b) is the divisor.
Step 2
Why this answer is correct
(q) represents the quotient.
Step 3
Exam Tip
Remembering the names of symbols makes the formula easier to use. चरण 1: (a=bq+r) में (a) भाज्य और (b) भाजक है। चरण 2: (q) भागफल को दर्शाता है। चरण 3: प्रतीकों के नाम याद रखने से सूत्र का प्रयोग आसान हो जाता है।
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(a=bq+r) में (b) को क्या कहा जाता है?
In (a=bq+r), what is (b) called?
#real-numbers
#terms
#euclid-division-lemma
A भाज्य / Dividend
B भाजक / Divisor
C भागफल / Quotient
D शेषफल / Remainder
Explanation opens after your attempt
Correct Answer
B. भाजक / Divisor
Step 1
Concept
In the form (a=bq+r), (a) is the dividend.
Step 2
Why this answer is correct
(b) is the number by which division is done, so it is the divisor.
Step 3
Exam Tip
Keep the meaning of symbols clear to avoid calculation errors. चरण 1: रूप (a=bq+r) में (a) भाज्य होता है। चरण 2: (b) वह संख्या है जिससे भाग दिया जाता है, इसलिए यह भाजक है। चरण 3: प्रतीकों के अर्थ साफ रखें, इससे गणना में गलती कम होती है।
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