बहुपद (4x-9) किस प्रकार का बहुपद है?
What type of polynomial is (4x-9)?
#polynomial
#type
#linear
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A नियतांक बहुपद / Constant polynomial
B रेखीय बहुपद / Linear polynomial
C द्विघात बहुपद / Quadratic polynomial
D त्रिघात बहुपद / Cubic polynomial
Explanation opens after your attempt
Correct Answer
B. रेखीय बहुपद / Linear polynomial
Step 1
Concept
The degree of (4x-9) is (1). A polynomial of degree (1) is called linear.
Step 2
Why this answer is correct
The correct answer is B. रेखीय बहुपद / Linear polynomial. The degree of (4x-9) is (1). A polynomial of degree (1) is called linear.
Step 3
Exam Tip
(4x-9) की डिग्री (1) है। डिग्री (1) वाला बहुपद रेखीय कहलाता है।
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रेखीय बहुपद की डिग्री क्या होती है?
What is the degree of a linear polynomial?
#polynomial
#linear
#degree
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A (0)
B (2)
C (1)
D (3)
Explanation opens after your attempt
Step 1
Concept
In a linear polynomial, the highest power of the variable is (1). In exams, identify the type by degree.
Step 2
Why this answer is correct
The correct answer is C. (1). In a linear polynomial, the highest power of the variable is (1). In exams, identify the type by degree.
Step 3
Exam Tip
रेखीय बहुपद में चर की सबसे बड़ी घात (1) होती है। परीक्षा में डिग्री देखकर प्रकार पहचानें।
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(7y+2) में चर (y) की सबसे बड़ी घात क्या है?
What is the highest power of (y) in (7y+2)?
#polynomial
#linear
#power
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A (7)
B (2)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
In (7y+2), the power of (y) is (1). Therefore it is a linear polynomial.
Step 2
Why this answer is correct
The correct answer is D. (1). In (7y+2), the power of (y) is (1). Therefore it is a linear polynomial.
Step 3
Exam Tip
(7y+2) में (y) की घात (1) है। इसलिए यह रेखीय बहुपद है।
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कौन सा बहुपद रेखीय नहीं है?
Which polynomial is not linear?
#polynomial
#not_linear
#degree
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A (5x-1)
B \(2x^2+3\)
C (x+8)
D (9-4x)
Explanation opens after your attempt
Correct Answer
B. \(2x^2+3\)
Step 1
Concept
The degree of \(2x^2+3\) is (2). A linear polynomial has degree (1).
Step 2
Why this answer is correct
The correct answer is B. \(2x^2+3\). The degree of \(2x^2+3\) is (2). A linear polynomial has degree (1).
Step 3
Exam Tip
\(2x^2+3\) की डिग्री (2) है। रेखीय बहुपद की डिग्री (1) होती है।
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रेखीय बहुपद का सामान्य रूप कौन सा है?
Which is the general form of a linear polynomial?
#polynomial
#general_form
#linear
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A (ax+b) जहाँ \(a\neq0\) / (ax+b) where \(a\neq0\)
B \(ax^2+b\)
C (a)
D \(ax^3+b\)
Explanation opens after your attempt
Correct Answer
A. (ax+b) जहाँ \(a\neq0\) / (ax+b) where \(a\neq0\)
Step 1
Concept
The general form of a linear polynomial is (ax+b) where \(a\neq0\). If (a=0), the polynomial will not remain linear.
Step 2
Why this answer is correct
The correct answer is A. (ax+b) जहाँ \(a\neq0\) / (ax+b) where \(a\neq0\). The general form of a linear polynomial is (ax+b) where \(a\neq0\). If (a=0), the polynomial will not remain linear.
Step 3
Exam Tip
रेखीय बहुपद का सामान्य रूप (ax+b) होता है जहाँ \(a\neq0\) है। (a=0) होने पर बहुपद रेखीय नहीं रहेगा।
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यदि (p(x)=6x+11), तो (p(x)) की डिग्री क्या है?
If (p(x)=6x+11), what is the degree of (p(x))?
#polynomial
#degree
#linear
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A (0)
B (1)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) is (1). Therefore the degree of (p(x)) is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). The highest power of (x) is (1). Therefore the degree of (p(x)) is (1).
Step 3
Exam Tip
(x) की सबसे बड़ी घात (1) है। इसलिए (p(x)) की डिग्री (1) है।
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बहुपद (12-5x) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (12-5x)?
#polynomial
#coefficient
#linear
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A (12)
B (5)
C (-5)
D (1)
Explanation opens after your attempt
Step 1
Concept
In (12-5x), the term containing (x) is (-5x). So the coefficient of (x) is (-5).
Step 2
Why this answer is correct
The correct answer is C. (-5). In (12-5x), the term containing (x) is (-5x). So the coefficient of (x) is (-5).
Step 3
Exam Tip
(12-5x) में (x) वाला पद (-5x) है। इसलिए (x) का गुणांक (-5) है।
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बहुपद (x+4) का नियतांक पद क्या है?
What is the constant term of (x+4)?
#polynomial
#constant_term
#linear
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A (1)
B (x)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
The constant term is the term without a variable. In (x+4), the constant term is (4).
Step 2
Why this answer is correct
The correct answer is D. (4). The constant term is the term without a variable. In (x+4), the constant term is (4).
Step 3
Exam Tip
नियतांक पद वह होता है जिसमें चर नहीं होता। (x+4) में नियतांक पद (4) है।
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(2x+7) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (2x+7)?
#polynomial
#missing_term
#linear
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A (0)
B (2)
C (7)
D (1)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\) term is not present in (2x+7). The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\) term is not present in (2x+7). The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
(2x+7) में \(x^2\) पद मौजूद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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रेखीय बहुपद (9x+1) का अग्र गुणांक क्या है?
What is the leading coefficient of the linear polynomial (9x+1)?
#polynomial
#leading_coefficient
#linear
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A (1)
B (9)
C (10)
D (0)
Explanation opens after your attempt
Step 1
Concept
The leading term is (9x). Therefore the leading coefficient is (9).
Step 2
Why this answer is correct
The correct answer is B. (9). The leading term is (9x). Therefore the leading coefficient is (9).
Step 3
Exam Tip
अग्र पद (9x) है। इसलिए अग्र गुणांक (9) है।
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किस विकल्प में केवल रेखीय बहुपद है?
Which option contains only a linear polynomial?
#polynomial
#identify
#linear
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A \(x^2-2\)
B (7)
C (3x+10)
D \(x^3+1\)
Explanation opens after your attempt
Correct Answer
C. (3x+10)
Step 1
Concept
The highest power in (3x+10) is (1). So this is the linear polynomial.
Step 2
Why this answer is correct
The correct answer is C. (3x+10). The highest power in (3x+10) is (1). So this is the linear polynomial.
Step 3
Exam Tip
(3x+10) की सबसे बड़ी घात (1) है। इसलिए यही रेखीय बहुपद है।
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यदि (p(x)=x-13), तो (p(x)) किस रूप में है?
If (p(x)=x-13), in which form is (p(x))?
#polynomial
#form
#linear
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A (ax+b)
B \(ax^2+b\)
C \(ax^3+b\)
D (a)
Explanation opens after your attempt
Step 1
Concept
(x-13) can be written as (1x+(-13)). It is a linear polynomial of the form (ax+b).
Step 2
Why this answer is correct
The correct answer is A. (ax+b). (x-13) can be written as (1x+(-13)). It is a linear polynomial of the form (ax+b).
Step 3
Exam Tip
(x-13) को (1x+(-13)) लिखा जा सकता है। यह (ax+b) रूप का रेखीय बहुपद है।
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(0x+6) किस प्रकार का बहुपद है?
What type of polynomial is (0x+6)?
#polynomial
#constant
#not_linear
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A रेखीय बहुपद / Linear polynomial
B नियतांक बहुपद / Constant polynomial
C द्विघात बहुपद / Quadratic polynomial
D त्रिघात बहुपद / Cubic polynomial
Explanation opens after your attempt
Correct Answer
B. नियतांक बहुपद / Constant polynomial
Step 1
Concept
(0x+6) simplifies to (6). It is a non-zero constant polynomial, not linear.
Step 2
Why this answer is correct
The correct answer is B. नियतांक बहुपद / Constant polynomial. (0x+6) simplifies to (6). It is a non-zero constant polynomial, not linear.
Step 3
Exam Tip
(0x+6) सरल होकर (6) बनता है। यह अशून्य नियतांक बहुपद है, रेखीय नहीं।
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किस मान पर ((m-2 )x+5) रेखीय बहुपद नहीं रहेगा?
For which value will ((m-2 )x+5) not remain a linear polynomial?
#polynomial
#parameter
#linear
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A (m=0)
B (m=1)
C (m=2)
D (m=3)
Explanation opens after your attempt
Step 1
Concept
To be linear, the coefficient of (x) must not be zero. At (m=2), (m-2 =0).
Step 2
Why this answer is correct
The correct answer is C. (m=2). To be linear, the coefficient of (x) must not be zero. At (m=2), (m-2 =0).
Step 3
Exam Tip
रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (m=2) पर (m-2 =0) हो जाता है।
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किस मान पर ((k+4)x-7) रेखीय बहुपद होगा?
For which value will ((k+4)x-7) be a linear polynomial?
#polynomial
#parameter
#linear
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A (k=-4)
B (k=0)
C (k) कोई भी हो / Any (k)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
At (k=0), the coefficient of (x) is (4), which is non-zero. Therefore the polynomial is linear.
Step 2
Why this answer is correct
The correct answer is B. (k=0). At (k=0), the coefficient of (x) is (4), which is non-zero. Therefore the polynomial is linear.
Step 3
Exam Tip
(k=0) पर (x) का गुणांक (4) है जो शून्य नहीं है। इसलिए बहुपद रेखीय है।
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रेखीय बहुपद (3x-6) का शून्यक क्या है?
What is the zero of the linear polynomial (3x-6)?
#polynomial
#zero
#linear
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A (2)
B (-2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
From (3x-6=0), we get (x=2). To find a zero, equate the polynomial to (0).
Step 2
Why this answer is correct
The correct answer is A. (2). From (3x-6=0), we get (x=2). To find a zero, equate the polynomial to (0).
Step 3
Exam Tip
(3x-6=0) से (x=2) मिलता है। शून्यक निकालते समय बहुपद को (0) के बराबर रखें।
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रेखीय बहुपद (x+9) का शून्यक क्या है?
What is the zero of the linear polynomial (x+9)?
#polynomial
#zero
#linear
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A (9)
B (-9)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
From (x+9=0), we get (x=-9). Pay attention to the sign.
Step 2
Why this answer is correct
The correct answer is B. (-9). From (x+9=0), we get (x=-9). Pay attention to the sign.
Step 3
Exam Tip
(x+9=0) से (x=-9) मिलता है। चिन्ह पर ध्यान देना चाहिए।
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यदि (p(x)=2x+3), तो (p(1)) का मान क्या है?
If (p(x)=2x+3), what is the value of (p(1))?
#polynomial
#value
#linear
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A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
(p(1)=2(1)+3=5). To find the value, substitute the given number for (x).
Step 2
Why this answer is correct
The correct answer is C. (5). (p(1)=2(1)+3=5). To find the value, substitute the given number for (x).
Step 3
Exam Tip
(p(1)=2(1)+3=5) है। मान निकालने के लिए (x) की जगह दी गई संख्या रखें।
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यदि (p(x)=5x-4), तो (p(0)) क्या होगा?
If (p(x)=5x-4), what is (p(0))?
#polynomial
#value_at_zero
#linear
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A (5)
B (1)
C (-4)
D (0)
Explanation opens after your attempt
Step 1
Concept
(p(0)=5(0)-4=-4). When (x=0), the constant term remains.
Step 2
Why this answer is correct
The correct answer is C. (-4). (p(0)=5(0)-4=-4). When (x=0), the constant term remains.
Step 3
Exam Tip
(p(0)=5(0)-4=-4) है। (x=0) रखने पर नियतांक पद बचता है।
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रेखीय बहुपद (10-2x) का शून्यक क्या है?
What is the zero of the linear polynomial (10-2x)?
#polynomial
#zero
#linear
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A (2)
B (5)
C (10)
D (-5)
Explanation opens after your attempt
Step 1
Concept
From (10-2x=0), we get (x=5). A linear polynomial has one zero.
Step 2
Why this answer is correct
The correct answer is B. (5). From (10-2x=0), we get (x=5). A linear polynomial has one zero.
Step 3
Exam Tip
(10-2x=0) से (x=5) मिलता है। रेखीय बहुपद का शून्यक एक होता है।
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कौन सा बहुपद (x) में रेखीय है?
Which polynomial is linear in (x)?
#polynomial
#linear_in_x
#identify
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A (4x+2)
B \(4x^2+2\)
C (4)
D \(4x^3+2\)
Explanation opens after your attempt
Step 1
Concept
In (4x+2), the highest power of (x) is (1). Therefore it is linear in (x).
Step 2
Why this answer is correct
The correct answer is A. (4x+2). In (4x+2), the highest power of (x) is (1). Therefore it is linear in (x).
Step 3
Exam Tip
(4x+2) में (x) की सबसे बड़ी घात (1) है। इसलिए यह (x) में रेखीय है।
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(3t-8) किस चर में रेखीय बहुपद है?
In which variable is (3t-8) a linear polynomial?
#polynomial
#variable
#linear
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A (x)
B (y)
C (t)
D (z)
Explanation opens after your attempt
Step 1
Concept
The variable in (3t-8) is (t), and its power is (1). Therefore it is linear in (t).
Step 2
Why this answer is correct
The correct answer is C. (t). The variable in (3t-8) is (t), and its power is (1). Therefore it is linear in (t).
Step 3
Exam Tip
(3t-8) में चर (t) है और उसकी घात (1) है। इसलिए यह (t) में रेखीय है।
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रेखीय बहुपद (ax+b) में (a) के लिए सही शर्त क्या है?
What is the correct condition for (a) in the linear polynomial (ax+b)?
#polynomial
#condition
#linear
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A (a=0)
B \(a\neq0\)
C (a=1) ही / (a=1) only
D (a=b)
Explanation opens after your attempt
Correct Answer
B. \(a\neq0\)
Step 1
Concept
In a linear polynomial, the coefficient of (x) must not be zero. Therefore \(a\neq0\) is necessary.
Step 2
Why this answer is correct
The correct answer is B. \(a\neq0\). In a linear polynomial, the coefficient of (x) must not be zero. Therefore \(a\neq0\) is necessary.
Step 3
Exam Tip
रेखीय बहुपद में (x) का गुणांक शून्य नहीं होना चाहिए। इसलिए \(a\neq0\) जरूरी है।
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किस विकल्प में (x) का गुणांक (1) है?
Which option has coefficient of (x) equal to (1)?
#polynomial
#coefficient
#linear
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A (x-5)
B (5x-1)
C (-x+5)
D (2x+1)
Explanation opens after your attempt
Step 1
Concept
(x-5) can be written as (1x-5). So the coefficient of (x) is (1).
Step 2
Why this answer is correct
The correct answer is A. (x-5). (x-5) can be written as (1x-5). So the coefficient of (x) is (1).
Step 3
Exam Tip
(x-5) को (1x-5) लिखा जा सकता है। इसलिए (x) का गुणांक (1) है।
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यदि (p(x)=x+2) और (q(x)=2x+1), तो (p(x)+q(x)) क्या है?
If (p(x)=x+2) and (q(x)=2x+1), what is (p(x)+q(x))?
#polynomial
#sum
#linear
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A (3x+3)
B (2x+3)
C (3x+1)
D (x+3)
Explanation opens after your attempt
Step 1
Concept
Adding like terms gives (x+2x=3x) and (2+1=3). Therefore the sum is (3x+3).
Step 2
Why this answer is correct
The correct answer is A. (3x+3). Adding like terms gives (x+2x=3x) and (2+1=3). Therefore the sum is (3x+3).
Step 3
Exam Tip
समान पद जोड़ने पर (x+2x=3x) और (2+1=3) मिलता है। इसलिए योग (3x+3) है।
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यदि (p(x)=5x+4) और (q(x)=2x+1), तो (p(x)-q(x)) क्या है?
If (p(x)=5x+4) and (q(x)=2x+1), what is (p(x)-q(x))?
#polynomial
#difference
#linear
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A (7x+5)
B (3x+3)
C (3x+5)
D (7x+3)
Explanation opens after your attempt
Step 1
Concept
On subtracting, (5x-2x=3x) and (4-1=3). Therefore the difference is (3x+3).
Step 2
Why this answer is correct
The correct answer is B. (3x+3). On subtracting, (5x-2x=3x) and (4-1=3). Therefore the difference is (3x+3).
Step 3
Exam Tip
घटाने पर (5x-2x=3x) और (4-1=3) मिलता है। इसलिए अंतर (3x+3) है।
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(2(3x-1)) को सरल करने पर कौन सा रेखीय बहुपद मिलेगा?
Which linear polynomial is obtained by simplifying (2(3x-1))?
#polynomial
#simplification
#linear
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A (6x-2)
B (5x-1)
C (6x+2)
D (3x-2)
Explanation opens after your attempt
Step 1
Concept
(2(3x-1)=6x-2). After multiplication, the degree remains (1).
Step 2
Why this answer is correct
The correct answer is A. (6x-2). (2(3x-1)=6x-2). After multiplication, the degree remains (1).
Step 3
Exam Tip
(2(3x-1)=6x-2) होता है। गुणन के बाद भी डिग्री (1) रहती है।
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(-3(x+4)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (-3(x+4))?
#polynomial
#distribution
#linear
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A (3x+12)
B (-3x+12)
C (-3x-12)
D (x-12)
Explanation opens after your attempt
Correct Answer
C. (-3x-12)
Step 1
Concept
Multiply (-3) with both terms. Therefore (-3(x+4)=-3x-12).
Step 2
Why this answer is correct
The correct answer is C. (-3x-12). Multiply (-3) with both terms. Therefore (-3(x+4)=-3x-12).
Step 3
Exam Tip
(-3) को दोनों पदों से गुणा करें। इसलिए (-3(x+4)=-3x-12) है।
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कौन सा रेखीय बहुपद मूल बिंदु से गुजरने वाले रूप जैसा है?
Which linear polynomial is like the form passing through the origin?
#polynomial
#linear
#constant_zero
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A (4x)
B (4x+1)
C \(x^2\)
D (4)
Explanation opens after your attempt
Step 1
Concept
In (4x), the constant term is (0). Such a linear polynomial is in the form (ax).
Step 2
Why this answer is correct
The correct answer is A. (4x). In (4x), the constant term is (0). Such a linear polynomial is in the form (ax).
Step 3
Exam Tip
(4x) में नियतांक पद (0) है। ऐसा रेखीय बहुपद (ax) रूप में होता है।
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बहुपद (11x) का नियतांक पद क्या है?
What is the constant term of the polynomial (11x)?
#polynomial
#constant_term
#linear
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A (11)
B (1)
C (0)
D (x)
Explanation opens after your attempt
Step 1
Concept
There is no term without a variable in (11x). Therefore the constant term is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no term without a variable in (11x). Therefore the constant term is (0).
Step 3
Exam Tip
(11x) में बिना चर वाला कोई पद नहीं है। इसलिए नियतांक पद (0) है।
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यदि (p(x)=-2x+8), तो (p(4)) क्या है?
If (p(x)=-2x+8), what is (p(4))?
#polynomial
#value
#zero
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A (0)
B (4)
C (8)
D (-8)
Explanation opens after your attempt
Step 1
Concept
(p(4)=-2(4)+8=0). Therefore (4) is also a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(4)=-2(4)+8=0). Therefore (4) is also a zero of this polynomial.
Step 3
Exam Tip
(p(4)=-2(4)+8=0) है। इसलिए (4) इस बहुपद का शून्यक भी है।
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(7-7x) का शून्यक क्या है?
What is the zero of (7-7x)?
#polynomial
#zero
#linear
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A (0)
B (1)
C (7)
D (-1)
Explanation opens after your attempt
Step 1
Concept
From (7-7x=0), we get (x=1). For a zero, set the polynomial equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (1). From (7-7x=0), we get (x=1). For a zero, set the polynomial equal to (0).
Step 3
Exam Tip
(7-7x=0) से (x=1) मिलता है। शून्यक के लिए बहुपद को (0) रखें।
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कौन सा बहुपद (y) में रेखीय है?
Which polynomial is linear in (y)?
#polynomial
#linear_in_y
#identify
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A \(y^2+3\)
B (5y-2)
C (9)
D \(y^3-y\)
Explanation opens after your attempt
Step 1
Concept
In (5y-2), the highest power of (y) is (1). Therefore it is linear in (y).
Step 2
Why this answer is correct
The correct answer is B. (5y-2). In (5y-2), the highest power of (y) is (1). Therefore it is linear in (y).
Step 3
Exam Tip
(5y-2) में (y) की सबसे बड़ी घात (1) है। इसलिए यह (y) में रेखीय है।
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बहुपद (13-2z) में चर कौन सा है?
Which is the variable in the polynomial (13-2z)?
#polynomial
#variable
#linear
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A (13)
B (2)
C (z)
D (-2)
Explanation opens after your attempt
Step 1
Concept
In (13-2z), the changing symbol is (z). Therefore the variable is (z).
Step 2
Why this answer is correct
The correct answer is C. (z). In (13-2z), the changing symbol is (z). Therefore the variable is (z).
Step 3
Exam Tip
(13-2z) में बदलने वाला चिन्ह (z) है। इसलिए चर (z) है।
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यदि (p(x)=ax+b) रेखीय है, तो इसकी डिग्री किस बात पर निर्भर करती है?
If (p(x)=ax+b) is linear, on what does its degree depend?
#polynomial
#condition
#degree
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A (b) शून्य हो / (b) is zero
B \(a\neq0\) हो / \(a\neq0\)
C (a=b) हो / (a=b)
D (b=1) हो / (b=1)
Explanation opens after your attempt
Correct Answer
B. \(a\neq0\) हो / \(a\neq0\)
Step 1
Concept
For being linear, the coefficient (a) of (x) must be non-zero. Then the degree remains (1).
Step 2
Why this answer is correct
The correct answer is B. \(a\neq0\) हो / \(a\neq0\). For being linear, the coefficient (a) of (x) must be non-zero. Then the degree remains (1).
Step 3
Exam Tip
रेखीय होने के लिए (x) का गुणांक (a) शून्य नहीं होना चाहिए। तभी डिग्री (1) रहती है।
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किस विकल्प में रेखीय बहुपद का नियतांक पद (-3) है?
Which option has a linear polynomial with constant term (-3)?
#polynomial
#constant_term
#linear
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A (2x-3)
B (2x+3)
C (3x-2)
D (-3x+2)
Explanation opens after your attempt
Step 1
Concept
In (2x-3), the term without a variable is (-3). So its constant term is (-3).
Step 2
Why this answer is correct
The correct answer is A. (2x-3). In (2x-3), the term without a variable is (-3). So its constant term is (-3).
Step 3
Exam Tip
(2x-3) में बिना चर वाला पद (-3) है। इसलिए इसका नियतांक पद (-3) है।
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किस विकल्प में रेखीय बहुपद का शून्यक (3) है?
Which option has zero (3) for a linear polynomial?
#polynomial
#zero
#linear
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A (x+3)
B (x-3)
C (3x+1)
D (x+1)
Explanation opens after your attempt
Step 1
Concept
From (x-3=0), we get (x=3). Therefore its zero is (3).
Step 2
Why this answer is correct
The correct answer is B. (x-3). From (x-3=0), we get (x=3). Therefore its zero is (3).
Step 3
Exam Tip
(x-3=0) से (x=3) मिलता है। इसलिए इसका शून्यक (3) है।
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किस विकल्प में रेखीय बहुपद का शून्यक (-4) है?
Which option has zero (-4) for a linear polynomial?
#polynomial
#zero
#linear
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A (x+4)
B (x-4)
C (4x-1)
D (x+1)
Explanation opens after your attempt
Step 1
Concept
From (x+4=0), we get (x=-4). Therefore the zero is (-4).
Step 2
Why this answer is correct
The correct answer is A. (x+4). From (x+4=0), we get (x=-4). Therefore the zero is (-4).
Step 3
Exam Tip
(x+4=0) से (x=-4) मिलता है। इसलिए शून्यक (-4) है।
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(2x+3x-1) को सरल करने पर कौन सा बहुपद मिलेगा?
Which polynomial is obtained by simplifying (2x+3x-1)?
#polynomial
#simplification
#linear
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A (5x-1)
B (6x-1)
C (5x+1)
D (x-1)
Explanation opens after your attempt
Step 1
Concept
Adding like terms gives (2x+3x=5x). Therefore the simplified form is (5x-1).
Step 2
Why this answer is correct
The correct answer is A. (5x-1). Adding like terms gives (2x+3x=5x). Therefore the simplified form is (5x-1).
Step 3
Exam Tip
समान पद जोड़ने पर (2x+3x=5x) है। इसलिए सरल रूप (5x-1) है।
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(9x-4x+6) का सरल रूप क्या है?
What is the simplified form of (9x-4x+6)?
#polynomial
#like_terms
#linear
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A (13x+6)
B (5x+6)
C (5x-6)
D (9x+2)
Explanation opens after your attempt
Step 1
Concept
(9x-4x=5x). Therefore the simplified form is (5x+6).
Step 2
Why this answer is correct
The correct answer is B. (5x+6). (9x-4x=5x). Therefore the simplified form is (5x+6).
Step 3
Exam Tip
(9x-4x=5x) होता है। इसलिए सरल रूप (5x+6) है।
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कौन सा बहुपद (x) में रेखीय है लेकिन नियतांक पद नहीं है?
Which polynomial is linear in (x) but has no constant term?
#polynomial
#linear
#constant_zero
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A (6x)
B (6)
C \(x^2+6\)
D (6x+1)
Explanation opens after your attempt
Step 1
Concept
(6x) has degree (1) and constant term (0). So it is the correct option.
Step 2
Why this answer is correct
The correct answer is A. (6x). (6x) has degree (1) and constant term (0). So it is the correct option.
Step 3
Exam Tip
(6x) की डिग्री (1) है और नियतांक पद (0) है। इसलिए यह सही विकल्प है।
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यदि (p(x)=3x+2), तो (p(2)) क्या होगा?
If (p(x)=3x+2), what is (p(2))?
#polynomial
#value
#linear
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A (5)
B (6)
C (8)
D (10)
Explanation opens after your attempt
Step 1
Concept
(p(2)=3(2)+2=8). Substitute the given value for (x).
Step 2
Why this answer is correct
The correct answer is C. (8). (p(2)=3(2)+2=8). Substitute the given value for (x).
Step 3
Exam Tip
(p(2)=3(2)+2=8) है। दिए गए मान को (x) की जगह रखें।
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यदि (p(x)=4x-1), तो (p(3)) क्या होगा?
If (p(x)=4x-1), what is (p(3))?
#polynomial
#value
#linear
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A (11)
B (12)
C (7)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(3)=4(3)-1=11). In calculation, multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is A. (11). (p(3)=4(3)-1=11). In calculation, multiply first and then subtract.
Step 3
Exam Tip
(p(3)=4(3)-1=11) है। गणना में पहले गुणा करें फिर घटाएं।
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कौन सा बहुपद रेखीय है और उसका अग्र गुणांक ऋणात्मक है?
Which polynomial is linear and has a negative leading coefficient?
#polynomial
#negative_leading
#linear
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A (2x+5)
B (-3x+4)
C \(x^2-3\)
D (7)
Explanation opens after your attempt
Correct Answer
B. (-3x+4)
Step 1
Concept
(-3x+4) is linear and the coefficient of (x) is (-3). Therefore the leading coefficient is negative.
Step 2
Why this answer is correct
The correct answer is B. (-3x+4). (-3x+4) is linear and the coefficient of (x) is (-3). Therefore the leading coefficient is negative.
Step 3
Exam Tip
(-3x+4) रेखीय है और (x) का गुणांक (-3) है। इसलिए अग्र गुणांक ऋणात्मक है।
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किस विकल्प में (p(0)=2) है यदि (p(x)) रेखीय बहुपद है?
Which option has (p(0)=2) if (p(x)) is a linear polynomial?
#polynomial
#value_at_zero
#linear
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A (p(x)=5x+2)
B (p(x)=5x-2)
C (p(x)=2x+5)
D (p(x)=x-5)
Explanation opens after your attempt
Correct Answer
A. (p(x)=5x+2)
Step 1
Concept
(p(0)) equals the constant term. In (5x+2), the constant term is (2).
Step 2
Why this answer is correct
The correct answer is A. (p(x)=5x+2). (p(0)) equals the constant term. In (5x+2), the constant term is (2).
Step 3
Exam Tip
(p(0)) नियतांक पद के बराबर होता है। (5x+2) में नियतांक पद (2) है।
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रेखीय बहुपद (ax+b) का (x) वाला पद कौन सा है?
Which is the (x)-term in the linear polynomial (ax+b)?
#polynomial
#x_term
#linear
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A (a)
B (b)
C (ax)
D (a+b)
Explanation opens after your attempt
Step 1
Concept
In (ax+b), the term containing (x) is (ax). This term makes the polynomial linear.
Step 2
Why this answer is correct
The correct answer is C. (ax). In (ax+b), the term containing (x) is (ax). This term makes the polynomial linear.
Step 3
Exam Tip
(ax+b) में (x) वाला पद (ax) है। यही पद बहुपद को रेखीय बनाता है।
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यदि (p(x)=0\cdot x+0), तो क्या यह रेखीय बहुपद है?
If (p(x)=0\cdot x+0), is it a linear polynomial?
#polynomial
#zero_polynomial
#not_linear
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A हाँ क्योंकि (x) लिखा है / Yes because (x) is written
B हाँ क्योंकि डिग्री (1) है / Yes because degree is (1)
C नहीं यह शून्य बहुपद है / No it is the zero polynomial
D हाँ क्योंकि नियतांक (0) है / Yes because constant is (0)
Explanation opens after your attempt
Correct Answer
C. नहीं यह शून्य बहुपद है / No it is the zero polynomial
Step 1
Concept
\(0\cdot x+0\) is the zero polynomial and its degree is not defined. Therefore it is not a linear polynomial.
Step 2
Why this answer is correct
The correct answer is C. नहीं यह शून्य बहुपद है / No it is the zero polynomial. \(0\cdot x+0\) is the zero polynomial and its degree is not defined. Therefore it is not a linear polynomial.
Step 3
Exam Tip
\(0\cdot x+0\) शून्य बहुपद है और इसकी डिग्री परिभाषित नहीं होती। इसलिए यह रेखीय बहुपद नहीं है।
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यदि (p(x)=2x-5), तो (p(5)) क्या होगा?
If (p(x)=2x-5), what is (p(5))?
#polynomial
#value
#linear
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A (0)
B (5)
C (10)
D (15)
Explanation opens after your attempt
Step 1
Concept
(p(5)=2(5)-5=5). To find the value, substitute the given number for (x).
Step 2
Why this answer is correct
The correct answer is B. (5). (p(5)=2(5)-5=5). To find the value, substitute the given number for (x).
Step 3
Exam Tip
(p(5)=2(5)-5=5) है। मान निकालते समय (x) की जगह दी गई संख्या रखें।
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किस विकल्प में (x) का गुणांक (4) और नियतांक पद (-1) है?
Which option has coefficient of (x) equal to (4) and constant term (-1)?
#polynomial
#coefficient
#constant_term
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A (4x-1)
B (4x+1)
C (-4x-1)
D (x-4)
Explanation opens after your attempt
Step 1
Concept
In (4x-1), the coefficient of (x) is (4) and the constant term is (-1). In a linear polynomial, identify both parts separately.
Step 2
Why this answer is correct
The correct answer is A. (4x-1). In (4x-1), the coefficient of (x) is (4) and the constant term is (-1). In a linear polynomial, identify both parts separately.
Step 3
Exam Tip
(4x-1) में (x) का गुणांक (4) और नियतांक पद (-1) है। रेखीय बहुपद में दोनों भाग अलग पहचानें।
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रेखीय बहुपद (6x+12) का शून्यक क्या है?
What is the zero of the linear polynomial (6x+12)?
#polynomial
#zero
#linear
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A (2)
B (-2)
C (6)
D (-12)
Explanation opens after your attempt
Step 1
Concept
From (6x+12=0), we get (x=-2). To find the zero, equate the polynomial to (0).
Step 2
Why this answer is correct
The correct answer is B. (-2). From (6x+12=0), we get (x=-2). To find the zero, equate the polynomial to (0).
Step 3
Exam Tip
(6x+12=0) से (x=-2) मिलता है। शून्यक निकालने के लिए बहुपद को (0) के बराबर रखें।
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