सरल करने के बाद (3(x+2)-2x) कौन सा बहुपद बनेगा?
After simplifying (3(x+2)-2x), which polynomial is obtained?
Explanation opens after your attempt
Step 1
Concept
(3(x+2)-2x=3x+6-2x=x+6). Add or subtract like terms carefully.
Step 2
Why this answer is correct
The correct answer is A. (x+6). (3(x+2)-2x=3x+6-2x=x+6). Add or subtract like terms carefully.
Step 3
Exam Tip
(3(x+2)-2x=3x+6-2x=x+6) है। समान पदों को ध्यान से जोड़ें या घटाएं।
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किस मान पर ((a-3)x+8) रेखीय बहुपद नहीं रहेगा?
For which value will ((a-3)x+8) not remain a linear polynomial?
Explanation opens after your attempt
Step 1
Concept
To be linear, the coefficient of (x) must be non-zero. At (a=3), (a-3=0).
Step 2
Why this answer is correct
The correct answer is B. (a=3). To be linear, the coefficient of (x) must be non-zero. At (a=3), (a-3=0).
Step 3
Exam Tip
रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (a=3) पर (a-3=0) हो जाता है।
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रेखीय बहुपद (5x+20) का शून्यक क्या है?
What is the zero of the linear polynomial (5x+20)?
Explanation opens after your attempt
Step 1
Concept
Setting (5x+20=0) gives (x=-4). Pay attention to the sign while finding the zero.
Step 2
Why this answer is correct
The correct answer is C. (-4). Setting (5x+20=0) gives (x=-4). Pay attention to the sign while finding the zero.
Step 3
Exam Tip
(5x+20=0) रखने पर (x=-4) मिलता है। शून्यक निकालते समय चिन्ह पर ध्यान रखें।
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यदि (p(x)=7x-9), तो (p(2)-p(1)) का मान क्या है?
If (p(x)=7x-9), what is the value of (p(2)-p(1))?
Explanation opens after your attempt
Step 1
Concept
(p(2)=5) and (p(1)=-2). Therefore the difference is (5-(-2)=7).
Step 2
Why this answer is correct
The correct answer is D. (7). (p(2)=5) and (p(1)=-2). Therefore the difference is (5-(-2)=7).
Step 3
Exam Tip
(p(2)=5) और (p(1)=-2) हैं। इसलिए अंतर (5-(-2)=7) है।
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किस विकल्प का सरल रूप रेखीय बहुपद है?
Which option has a linear polynomial as its simplified form?
Explanation opens after your attempt
Correct Answer
A. \(x^2+x-x^2+4\)
Step 1
Concept
The first option simplifies to (x+4), whose degree is (1). Therefore it is linear.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+x-x^2+4\). The first option simplifies to (x+4), whose degree is (1). Therefore it is linear.
Step 3
Exam Tip
पहला विकल्प सरल होकर (x+4) बनता है जिसकी डिग्री (1) है। इसलिए यह रेखीय है।
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यदि (p(x)=mx+6) का शून्यक (2) है, तो (m) का मान क्या होगा?
If the zero of (p(x)=mx+6) is (2), what is the value of (m)?
Explanation opens after your attempt
Step 1
Concept
Since the zero is (2), (2m+6=0). Therefore (m=-3).
Step 2
Why this answer is correct
The correct answer is B. (-3). Since the zero is (2), (2m+6=0). Therefore (m=-3).
Step 3
Exam Tip
शून्यक (2) होने से (2m+6=0) होगा। इसलिए (m=-3) है।
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रेखीय बहुपद (ax+b) में शून्यक किस सूत्र से मिलेगा?
Which formula gives the zero of the linear polynomial (ax+b)?
Explanation opens after your attempt
Correct Answer
C. \(-\frac{b}{a}\)
Step 1
Concept
From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.
Step 2
Why this answer is correct
The correct answer is C. \(-\frac{b}{a}\). From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.
Step 3
Exam Tip
(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। यहां \(a\neq0\) होना जरूरी है।
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यदि (p(x)=2x-3) और (q(x)=4x+5), तो (p(x)+q(x)) की डिग्री क्या है?
If (p(x)=2x-3) and (q(x)=4x+5), what is the degree of (p(x)+q(x))?
Explanation opens after your attempt
Step 1
Concept
The sum is (6x+2), whose highest power is (1). Therefore the degree is (1).
Step 2
Why this answer is correct
The correct answer is D. (1). The sum is (6x+2), whose highest power is (1). Therefore the degree is (1).
Step 3
Exam Tip
योग (6x+2) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है।
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यदि (p(x)=4x+1) और (q(x)=4x-7), तो (p(x)-q(x)) किस प्रकार का बहुपद है?
If (p(x)=4x+1) and (q(x)=4x-7), what type of polynomial is (p(x)-q(x))?
Explanation opens after your attempt
Correct Answer
A. नियतांक बहुपद/Constant polynomial
Step 1
Concept
(p(x)-q(x)=8). It is a non-zero constant polynomial with degree (0).
Step 2
Why this answer is correct
The correct answer is A. नियतांक बहुपद / Constant polynomial. (p(x)-q(x)=8). It is a non-zero constant polynomial with degree (0).
Step 3
Exam Tip
(p(x)-q(x)=8) है। यह अशून्य नियतांक बहुपद है जिसकी डिग्री (0) होती है।
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किस मान पर ((k+5)x-11) का शून्यक (1) होगा?
For which value will the zero of ((k+5)x-11) be (1)?
Explanation opens after your attempt
Step 1
Concept
If the zero is (1), then (k+5-11=0). This gives (k=6).
Step 2
Why this answer is correct
The correct answer is A. (k=6). If the zero is (1), then (k+5-11=0). This gives (k=6).
Step 3
Exam Tip
शून्यक (1) होने पर (k+5-11=0) होगा। इससे (k=6) मिलता है।
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कौन सा बहुपद सरल करने पर (3x-2) बनेगा?
Which polynomial simplifies to (3x-2)?
Explanation opens after your attempt
Correct Answer
B. (7x-4x-2)
Step 1
Concept
(7x-4x-2=3x-2). First simplify like (x)-terms.
Step 2
Why this answer is correct
The correct answer is B. (7x-4x-2). (7x-4x-2=3x-2). First simplify like (x)-terms.
Step 3
Exam Tip
(7x-4x-2=3x-2) है। समान (x) वाले पदों को पहले सरल करें।
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यदि (p(x)=3x+2), तो (p(-2)) का मान क्या है?
If (p(x)=3x+2), what is the value of (p(-2))?
Explanation opens after your attempt
Step 1
Concept
(p(-2)=3(-2)+2=-4). Handle signs carefully when substituting a negative value.
Step 2
Why this answer is correct
The correct answer is C. (-4). (p(-2)=3(-2)+2=-4). Handle signs carefully when substituting a negative value.
Step 3
Exam Tip
(p(-2)=3(-2)+2=-4) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं।
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किस विकल्प में (x) का गुणांक और नियतांक पद दोनों ऋणात्मक हैं?
Which option has both the coefficient of (x) and the constant term negative?
Explanation opens after your attempt
Correct Answer
D. (-4x-3)
Step 1
Concept
In (-4x-3), the coefficient of (x) is (-4) and the constant term is (-3). Both are negative.
Step 2
Why this answer is correct
The correct answer is D. (-4x-3). In (-4x-3), the coefficient of (x) is (-4) and the constant term is (-3). Both are negative.
Step 3
Exam Tip
(-4x-3) में (x) का गुणांक (-4) और नियतांक पद (-3) है। दोनों ऋणात्मक हैं।
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यदि (p(x)=ax-10) और (p(5)=0), तो (a) का मान क्या है?
If (p(x)=ax-10) and (p(5)=0), what is the value of (a)?
Explanation opens after your attempt
Step 1
Concept
From (p(5)=5a-10=0), we get (a=2). Substitute the given value directly into the polynomial.
Step 2
Why this answer is correct
The correct answer is B. (2). From (p(5)=5a-10=0), we get (a=2). Substitute the given value directly into the polynomial.
Step 3
Exam Tip
(p(5)=5a-10=0) से (a=2) मिलता है। दिए गए मान को सीधे बहुपद में रखें।
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कौन सा रेखीय बहुपद (x=3) पर (0) हो जाता है?
Which linear polynomial becomes (0) at (x=3)?
Explanation opens after your attempt
Step 1
Concept
Substituting (x=3) in (x-3) gives (0). Therefore its zero is (3).
Step 2
Why this answer is correct
The correct answer is C. (x-3). Substituting (x=3) in (x-3) gives (0). Therefore its zero is (3).
Step 3
Exam Tip
(x=3) रखने पर (x-3=0) मिलता है। इसलिए इसका शून्यक (3) है।
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यदि (2(x-4)+5x) को सरल किया जाए, तो कौन सा बहुपद मिलेगा?
Which polynomial is obtained by simplifying (2(x-4)+5x)?
Explanation opens after your attempt
Step 1
Concept
(2(x-4)+5x=2x-8+5x=7x-8). Open brackets first and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. (7x-8). (2(x-4)+5x=2x-8+5x=7x-8). Open brackets first and then add like terms.
Step 3
Exam Tip
(2(x-4)+5x=2x-8+5x=7x-8) है। पहले कोष्ठक खोलें फिर समान पद जोड़ें।
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यदि (p(x)=6-2x), तो इसका शून्यक क्या है?
If (p(x)=6-2x), what is its zero?
Explanation opens after your attempt
Step 1
Concept
From (6-2x=0), we get (x=3). A linear polynomial has one zero.
Step 2
Why this answer is correct
The correct answer is B. (3). From (6-2x=0), we get (x=3). A linear polynomial has one zero.
Step 3
Exam Tip
(6-2x=0) से (x=3) मिलता है। रेखीय बहुपद का शून्यक एक होता है।
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किस विकल्प में (p(0)=5) और (p(x)) रेखीय है?
Which option has (p(0)=5) and (p(x)) is linear?
Explanation opens after your attempt
Correct Answer
B. (p(x)=x+5)
Step 1
Concept
(p(0)) equals the constant term. (x+5) is linear and its constant term is (5).
Step 2
Why this answer is correct
The correct answer is B. (p(x)=x+5). (p(0)) equals the constant term. (x+5) is linear and its constant term is (5).
Step 3
Exam Tip
(p(0)) नियतांक पद के बराबर होता है। (x+5) रेखीय है और इसका नियतांक पद (5) है।
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यदि (p(x)=5x-2) और (p(t)=18), तो (t) का मान क्या है?
If (p(x)=5x-2) and (p(t)=18), what is the value of (t)?
Explanation opens after your attempt
Step 1
Concept
From (5t-2=18), (5t=20) and (t=4). First form the equation.
Step 2
Why this answer is correct
The correct answer is C. (4). From (5t-2=18), (5t=20) and (t=4). First form the equation.
Step 3
Exam Tip
(5t-2=18) से (5t=20) और (t=4) मिलता है। पहले समीकरण बनाएं।
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किस विकल्प में बहुपद रेखीय है लेकिन उसका शून्यक धनात्मक नहीं है?
Which option has a linear polynomial whose zero is not positive?
Explanation opens after your attempt
Step 1
Concept
From (x+4=0), we get (x=-4). This zero is not positive.
Step 2
Why this answer is correct
The correct answer is C. (x+4). From (x+4=0), we get (x=-4). This zero is not positive.
Step 3
Exam Tip
(x+4=0) से (x=-4) मिलता है। यह शून्यक धनात्मक नहीं है।
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यदि (p(x)=2x+a) का शून्यक (-3) है, तो (a) का मान क्या है?
If the zero of (p(x)=2x+a) is (-3), what is the value of (a)?
Explanation opens after your attempt
Step 1
Concept
Since the zero is (-3), (2(-3)+a=0). Therefore (a=6).
Step 2
Why this answer is correct
The correct answer is A. (6). Since the zero is (-3), (2(-3)+a=0). Therefore (a=6).
Step 3
Exam Tip
शून्यक (-3) होने से (2(-3)+a=0) होगा। इसलिए (a=6) है।
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किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{3}{2}\) है?
Which option has zero \(\frac{3}{2}\) for a linear polynomial?
Explanation opens after your attempt
Step 1
Concept
From (2x-3=0), we get \(x=\frac{3}{2}\). Set the polynomial equal to (0) to find the zero.
Step 2
Why this answer is correct
The correct answer is B. (2x-3). From (2x-3=0), we get \(x=\frac{3}{2}\). Set the polynomial equal to (0) to find the zero.
Step 3
Exam Tip
(2x-3=0) से \(x=\frac{3}{2}\) मिलता है। शून्यक के लिए बहुपद को (0) रखें।
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यदि (p(x)=x+1) और (q(x)=x-1), तो (p(x)q(x)) किस प्रकार का बहुपद है?
If (p(x)=x+1) and (q(x)=x-1), what type of polynomial is (p(x)q(x))?
Explanation opens after your attempt
Correct Answer
C. द्विघात बहुपद/Quadratic polynomial
Step 1
Concept
(p(x)q(x)=(x+1)(x-1)=x-2-1). Its degree is (2), so it is quadratic.
Step 2
Why this answer is correct
The correct answer is C. द्विघात बहुपद / Quadratic polynomial. (p(x)q(x)=(x+1)(x-1)=x-2-1). Its degree is (2), so it is quadratic.
Step 3
Exam Tip
(p(x)q(x)=(x+1)(x-1)=x-2-1) है। इसकी डिग्री (2) है इसलिए यह द्विघात है।
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रेखीय बहुपद (3x+b) का शून्यक (-2) है। (b) क्या है?
The zero of the linear polynomial (3x+b) is (-2). What is (b)?
Explanation opens after your attempt
Step 1
Concept
From (3(-2)+b=0), we get (b=6). Substitute the zero into the polynomial and set it to (0).
Step 2
Why this answer is correct
The correct answer is A. (6). From (3(-2)+b=0), we get (b=6). Substitute the zero into the polynomial and set it to (0).
Step 3
Exam Tip
(3(-2)+b=0) से (b=6) मिलता है। शून्यक को बहुपद में रखकर (0) करें।
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किस विकल्प का सरल रूप शून्य बहुपद है?
Which option has the zero polynomial as its simplified form?
Explanation opens after your attempt
Correct Answer
A. (3x+2-3x-2)
Step 1
Concept
(3x+2-3x-2=0). The degree of the zero polynomial is not defined.
Step 2
Why this answer is correct
The correct answer is A. (3x+2-3x-2). (3x+2-3x-2=0). The degree of the zero polynomial is not defined.
Step 3
Exam Tip
(3x+2-3x-2=0) है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।
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यदि (p(x)=\frac{1}{2}x+3), तो (p(4)) क्या है?
If (p(x)=\frac{1}{2}x+3), what is (p(4))?
Explanation opens after your attempt
Step 1
Concept
(p(4)=\frac{1}{2}\cdot4+3=5). With fractional coefficients, multiply first.
Step 2
Why this answer is correct
The correct answer is B. (5). (p(4)=\frac{1}{2}\cdot4+3=5). With fractional coefficients, multiply first.
Step 3
Exam Tip
(p(4)=\frac{1}{2}\cdot4+3=5) है। भिन्न गुणांक में पहले गुणा करें।
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किस मान पर ((2a+1)x-4) रेखीय नहीं रहेगा?
For which value will ((2a+1)x-4) not remain linear?
Explanation opens after your attempt
Correct Answer
C. \(a=-\frac{1}{2}\)
Step 1
Concept
For it not to be linear, (2a+1=0). This gives \(a=-\frac{1}{2}\).
Step 2
Why this answer is correct
The correct answer is C. \(a=-\frac{1}{2}\). For it not to be linear, (2a+1=0). This gives \(a=-\frac{1}{2}\).
Step 3
Exam Tip
रेखीय न रहने के लिए (2a+1=0) होना चाहिए। इससे \(a=-\frac{1}{2}\) मिलता है।
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यदि (p(x)=10x-15), तो किस मान पर (p(x)=5) होगा?
If (p(x)=10x-15), for which value will (p(x)=5)?
Explanation opens after your attempt
Step 1
Concept
From (10x-15=5), (10x=20) and (x=2). First simplify the equation.
Step 2
Why this answer is correct
The correct answer is B. (x=2). From (10x-15=5), (10x=20) and (x=2). First simplify the equation.
Step 3
Exam Tip
(10x-15=5) से (10x=20) और (x=2) मिलता है। पहले समीकरण को सरल करें।
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कौन सा रेखीय बहुपद (x=0) पर (-7) देता है?
Which linear polynomial gives (-7) at (x=0)?
Explanation opens after your attempt
Step 1
Concept
At (x=0), the value of a polynomial is its constant term. The constant term of (2x-7) is (-7).
Step 2
Why this answer is correct
The correct answer is C. (2x-7). At (x=0), the value of a polynomial is its constant term. The constant term of (2x-7) is (-7).
Step 3
Exam Tip
(x=0) पर बहुपद का मान नियतांक पद होता है। (2x-7) का नियतांक पद (-7) है।
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यदि (p(x)=4x+c) और (p(2)=11), तो (c) क्या है?
If (p(x)=4x+c) and (p(2)=11), what is (c)?
Explanation opens after your attempt
Step 1
Concept
From (p(2)=8+c=11), we get (c=3). Substitute the given value into the polynomial.
Step 2
Why this answer is correct
The correct answer is C. (3). From (p(2)=8+c=11), we get (c=3). Substitute the given value into the polynomial.
Step 3
Exam Tip
(p(2)=8+c=11) से (c=3) मिलता है। दिए गए मान को बहुपद में रखें।
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किस विकल्प में रेखीय बहुपद की डिग्री गलत बताई गई है?
In which option is the degree of the linear polynomial stated incorrectly?
Explanation opens after your attempt
Correct Answer
C. (0x+5) की डिग्री (1)/Degree of (0x+5) is (1)
Step 1
Concept
(0x+5) simplifies to (5). Its degree is (0), not (1).
Step 2
Why this answer is correct
The correct answer is C. (0x+5) की डिग्री (1) / Degree of (0x+5) is (1). (0x+5) simplifies to (5). Its degree is (0), not (1).
Step 3
Exam Tip
(0x+5) सरल होकर (5) बनता है। इसकी डिग्री (0) है (1) नहीं।
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यदि (p(x)=x+a) और (p(-5)=0), तो (a) क्या है?
If (p(x)=x+a) and (p(-5)=0), what is (a)?
Explanation opens after your attempt
Step 1
Concept
From (-5+a=0), we get (a=5). Substitute the zero into the polynomial and solve.
Step 2
Why this answer is correct
The correct answer is A. (5). From (-5+a=0), we get (a=5). Substitute the zero into the polynomial and solve.
Step 3
Exam Tip
(-5+a=0) से (a=5) मिलता है। शून्यक को बहुपद में रखकर हल करें।
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कौन सा बहुपद रेखीय है और उसका शून्यक (0) है?
Which polynomial is linear and has zero (0)?
Explanation opens after your attempt
Step 1
Concept
From (5x=0), we get (x=0), and the degree of the polynomial is (1). So it is correct.
Step 2
Why this answer is correct
The correct answer is B. (5x). From (5x=0), we get (x=0), and the degree of the polynomial is (1). So it is correct.
Step 3
Exam Tip
(5x=0) से (x=0) मिलता है और बहुपद की डिग्री (1) है। इसलिए यह सही है।
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यदि (p(x)=2x-1), तो (p(3)+p(-1)) क्या है?
If (p(x)=2x-1), what is (p(3)+p(-1))?
Explanation opens after your attempt
Step 1
Concept
(p(3)=5) and (p(-1)=-3). Therefore the sum is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). (p(3)=5) and (p(-1)=-3). Therefore the sum is (2).
Step 3
Exam Tip
(p(3)=5) और (p(-1)=-3) हैं। इसलिए योग (2) है।
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किस विकल्प में (x) का गुणांक (3) और शून्यक (-2) है?
Which option has coefficient of (x) equal to (3) and zero (-2)?
Explanation opens after your attempt
Step 1
Concept
From (3x+6=0), we get (x=-2), and the coefficient of (x) is (3).
Step 2
Why this answer is correct
The correct answer is B. (3x+6). From (3x+6=0), we get (x=-2), and the coefficient of (x) is (3).
Step 3
Exam Tip
(3x+6=0) से (x=-2) मिलता है और (x) का गुणांक (3) है।
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यदि (p(x)=kx+2) और (p(0)=2), तो (k) के बारे में कौन सा कथन सही है ताकि (p(x)) रेखीय हो?
If (p(x)=kx+2) and (p(0)=2), which statement about (k) is correct so that (p(x)) is linear?
Explanation opens after your attempt
Correct Answer
B. \(k\neq0\)
Step 1
Concept
(p(0)=2) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.
Step 2
Why this answer is correct
The correct answer is B. \(k\neq0\). (p(0)=2) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.
Step 3
Exam Tip
(p(0)=2) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है।
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किस विकल्प में दो रेखीय बहुपदों का योग नियतांक बहुपद है?
In which option is the sum of two linear polynomials a constant polynomial?
Explanation opens after your attempt
Correct Answer
B. (3x+4) और (-3x+5)/(3x+4) and (-3x+5)
Step 1
Concept
(3x+4+(-3x+5)=9). When the (x)-terms cancel, a constant polynomial is obtained.
Step 2
Why this answer is correct
The correct answer is B. (3x+4) और (-3x+5) / (3x+4) and (-3x+5). (3x+4+(-3x+5)=9). When the (x)-terms cancel, a constant polynomial is obtained.
Step 3
Exam Tip
(3x+4+(-3x+5)=9) है। (x) वाले पद कटने पर नियतांक बहुपद मिलता है।
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यदि (p(x)=3x+4), तो (p(x)-4) की डिग्री क्या है?
If (p(x)=3x+4), what is the degree of (p(x)-4)?
Explanation opens after your attempt
Step 1
Concept
(p(x)-4=3x), whose degree is (1). Even after removing the constant term, the (x)-term remains.
Step 2
Why this answer is correct
The correct answer is B. (1). (p(x)-4=3x), whose degree is (1). Even after removing the constant term, the (x)-term remains.
Step 3
Exam Tip
(p(x)-4=3x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है।
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यदि (p(x)=2x+7), तो (p(x)-2x) किस प्रकार का बहुपद है?
If (p(x)=2x+7), what type of polynomial is (p(x)-2x)?
Explanation opens after your attempt
Correct Answer
B. नियतांक बहुपद/Constant polynomial
Step 1
Concept
(p(x)-2x=7). It is a non-zero constant polynomial.
Step 2
Why this answer is correct
The correct answer is B. नियतांक बहुपद / Constant polynomial. (p(x)-2x=7). It is a non-zero constant polynomial.
Step 3
Exam Tip
(p(x)-2x=7) है। यह अशून्य नियतांक बहुपद है।
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किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{5}{3}\) है?
Which option has zero \(-\frac{5}{3}\) for a linear polynomial?
Explanation opens after your attempt
Step 1
Concept
From (3x+5=0), we get \(x=-\frac{5}{3}\). Pay attention to the sign in fractional zeros.
Step 2
Why this answer is correct
The correct answer is C. (3x+5). From (3x+5=0), we get \(x=-\frac{5}{3}\). Pay attention to the sign in fractional zeros.
Step 3
Exam Tip
(3x+5=0) से \(x=-\frac{5}{3}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें।
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यदि (p(x)=9-4x), तो (p(2)) का मान क्या है?
If (p(x)=9-4x), what is the value of (p(2))?
Explanation opens after your attempt
Step 1
Concept
(p(2)=9-4(2)=1). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is D. (1). (p(2)=9-4(2)=1). Multiply first and then subtract.
Step 3
Exam Tip
(p(2)=9-4(2)=1) है। पहले गुणा करें फिर घटाएं।
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किस विकल्प में सरल करने के बाद (x) का गुणांक (0) हो जाएगा?
In which option will the coefficient of (x) become (0) after simplification?
Explanation opens after your attempt
Correct Answer
B. (7x-7x+3)
Step 1
Concept
(7x-7x+3=3). The coefficient of (x) becomes (0).
Step 2
Why this answer is correct
The correct answer is B. (7x-7x+3). (7x-7x+3=3). The coefficient of (x) becomes (0).
Step 3
Exam Tip
(7x-7x+3=3) है। इसमें (x) का गुणांक (0) हो जाता है।
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यदि (p(x)=x-4) और (q(x)=2x+1), तो (2p(x)+q(x)) क्या है?
If (p(x)=x-4) and (q(x)=2x+1), what is (2p(x)+q(x))?
Explanation opens after your attempt
Step 1
Concept
(2p(x)+q(x)=2(x-4)+(2x+1)=4x-7). First multiply and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. (4x-7). (2p(x)+q(x)=2(x-4)+(2x+1)=4x-7). First multiply and then add like terms.
Step 3
Exam Tip
(2p(x)+q(x)=2(x-4)+(2x+1)=4x-7) है। पहले गुणा फिर समान पद जोड़ें।
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यदि (p(x)=3x-6), तो कौन सा मान इसका शून्यक है?
If (p(x)=3x-6), which value is its zero?
Explanation opens after your attempt
Step 1
Concept
From (3x-6=0), we get (x=2). A zero is the value where the polynomial becomes (0).
Step 2
Why this answer is correct
The correct answer is B. (x=2). From (3x-6=0), we get (x=2). A zero is the value where the polynomial becomes (0).
Step 3
Exam Tip
(3x-6=0) से (x=2) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो।
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किस विकल्प में (2x+5) और (x-1) का अंतर (x+6) है?
In which order is the difference of (2x+5) and (x-1) equal to (x+6)?
Explanation opens after your attempt
Correct Answer
A. (2x+5-(x-1))
Step 1
Concept
(2x+5-(x-1)=x+6). Change signs inside the bracket while subtracting.
Step 2
Why this answer is correct
The correct answer is A. (2x+5-(x-1)). (2x+5-(x-1)=x+6). Change signs inside the bracket while subtracting.
Step 3
Exam Tip
(2x+5-(x-1)=x+6) है। घटाते समय कोष्ठक के चिन्ह बदलें।
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किस मान पर ((a+2)x+a) रेखीय बहुपद होगा और (p(0)=a) रहेगा?
For which value will ((a+2)x+a) be linear and still have (p(0)=a)?
Explanation opens after your attempt
Step 1
Concept
For it to be linear, \(a+2\neq0\) is needed. At (a=0), the coefficient is (2) and (p(0)=0).
Step 2
Why this answer is correct
The correct answer is B. (a=0). For it to be linear, \(a+2\neq0\) is needed. At (a=0), the coefficient is (2) and (p(0)=0).
Step 3
Exam Tip
रेखीय होने के लिए \(a+2\neq0\) चाहिए। (a=0) पर गुणांक (2) है और (p(0)=0) रहता है।
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यदि (p(x)=\frac{3}{4}x-6), तो (p(8)) क्या है?
If (p(x)=\frac{3}{4}x-6), what is (p(8))?
Explanation opens after your attempt
Step 1
Concept
(p(8)=\frac{3}{4}\cdot8-6=0). Therefore (8) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(8)=\frac{3}{4}\cdot8-6=0). Therefore (8) is a zero of this polynomial.
Step 3
Exam Tip
(p(8)=\frac{3}{4}\cdot8-6=0) है। इसलिए (8) इस बहुपद का शून्यक है।
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यदि (p(x)=x+3), तो (p(x)2) किस प्रकार का बहुपद होगा?
If (p(x)=x+3), what type of polynomial is (p(x)2)?
Explanation opens after your attempt
Correct Answer
B. द्विघात बहुपद/Quadratic polynomial
Step 1
Concept
(p(x)2=(x+3)2) has degree (2). Therefore it is a quadratic polynomial.
Step 2
Why this answer is correct
The correct answer is B. द्विघात बहुपद / Quadratic polynomial. (p(x)2=(x+3)2) has degree (2). Therefore it is a quadratic polynomial.
Step 3
Exam Tip
(p(x)2=(x+3)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है।
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किस विकल्प में रेखीय बहुपद का अग्र गुणांक (0) नहीं है?
Which option has a linear polynomial whose leading coefficient is not (0)?
Explanation opens after your attempt
Step 1
Concept
In (5x+0), the coefficient of (x) is (5), which is non-zero. Therefore it is a linear polynomial.
Step 2
Why this answer is correct
The correct answer is B. (5x+0). In (5x+0), the coefficient of (x) is (5), which is non-zero. Therefore it is a linear polynomial.
Step 3
Exam Tip
(5x+0) में (x) का गुणांक (5) है जो शून्य नहीं है। इसलिए यह रेखीय बहुपद है।
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यदि (p(x)=2x+b) और (p(3)=p(1)+8), तो (b) के बारे में क्या सही है?
If (p(x)=2x+b) and (p(3)=p(1)+8), what is correct about (b)?
Explanation opens after your attempt
Correct Answer
B. हर (b) सही है/Every (b) is valid
Step 1
Concept
(p(3)-p(1)=(6+b)-(2+b)=4). Therefore the given condition for (8) is never true.
Step 2
Why this answer is correct
The correct answer is B. हर (b) सही है / Every (b) is valid. (p(3)-p(1)=(6+b)-(2+b)=4). Therefore the given condition for (8) is never true.
Step 3
Exam Tip
(p(3)-p(1)=(6+b)-(2+b)=4) होता है। इसलिए दी गई शर्त (8) के लिए कभी सही नहीं होती।
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