यदि किसी बहुपद की घात (1) है, तो उसे क्या कहते हैं?
If a polynomial has degree (1), what is it called?
#polynomials
#degree
#type
#easy
A नियत बहुपद / Constant polynomial
B रैखिक बहुपद / Linear polynomial
C द्विघात बहुपद / Quadratic polynomial
D घन बहुपद / Cubic polynomial
Explanation opens after your attempt
Correct Answer
B. रैखिक बहुपद / Linear 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।
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(p(x)=ax-2 +bx+c) में यदि \(a\ne0\) है, तो यह किस प्रकार का बहुपद है?
In (p(x)=ax-2 +bx+c), if \(a\ne0\), what type of polynomial is it?
#polynomials
#quadratic-form
#easy
#degree
A रैखिक / Linear
B द्विघात / Quadratic
C घन / Cubic
D नियत / Constant
Explanation opens after your attempt
Correct Answer
B. द्विघात / Quadratic
Step 1
Concept
Since \(a\ne0\), the \(x^2\)-term remains, so the degree is (2). A degree (2) polynomial is quadratic.
Step 2
Why this answer is correct
The correct answer is B. द्विघात / Quadratic. Since \(a\ne0\), the \(x^2\)-term remains, so the degree is (2). A degree (2) polynomial is quadratic.
Step 3
Exam Tip
\(a\ne0\) होने से \(x^2\) पद रहता है, इसलिए घात (2) है। घात (2) वाला बहुपद द्विघात होता है।
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(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?
#polynomials
#linear-form
#easy
#degree
A (0)
B (1)
C (2)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
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।
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बहुपद \(11x^5-3x^2+8\) की घात क्या है?
What is the degree of \(11x^5-3x^2+8\)?
#polynomials
#degree
#easy
#highest-power
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
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।
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बहुपद (5) की घात क्या है?
What is the degree of the polynomial (5)?
#polynomials
#constant-polynomial
#easy
#degree
A (0)
B (1)
C (5)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
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।
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बहुपद \(7x^3-2x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-2x+9\)?
#polynomials
#degree
#easy
#level48
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
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।
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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))?
#linear_form
#degree
#polynomials
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
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।
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यदि (p(x)=ax-2 +bx+c) और \(a\neq0\), तो (p(x)) किस प्रकार का बहुपद है?
If (p(x)=ax-2 +bx+c) and \(a\neq0\), what type of polynomial is (p(x))?
#quadratic_form
#degree
#classification
A रैखिक / Linear
B द्विघात / Quadratic
C घन / Cubic
D स्थिर / Constant
Explanation opens after your attempt
Correct Answer
B. द्विघात / Quadratic
Step 1
Concept
Since \(a\neq0\), the \(x^2\) term is present. So the degree is (2) and it is a quadratic polynomial.
Step 2
Why this answer is correct
The correct answer is B. द्विघात / Quadratic. Since \(a\neq0\), the \(x^2\) term is present. So the degree is (2) and it is a quadratic polynomial.
Step 3
Exam Tip
क्योंकि \(a\neq0\), \(x^2\) वाला पद उपस्थित है। इसलिए घात (2) है और यह द्विघात बहुपद है।
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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?
#like_terms
#degree
#simplification
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
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।
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बहुपद (p(x)=2x-3 -7x-2 +4x-1) में अग्र पद कौन-सा है?
What is the leading term of (p(x)=2x-3 -7x-2 +4x-1)?
#leading_term
#degree
#polynomials
A \(2x^3\)
B \(-7x^2\)
C (4x)
D \(-1\)
Explanation opens after your attempt
Correct Answer
A. \(2x^3\)
Step 1
Concept
The term with the highest power is \(2x^3\). This is called the leading term.
Step 2
Why this answer is correct
The correct answer is A. \(2x^3\). The term with the highest power is \(2x^3\). This is called the leading term.
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(2x^3\) है। यही अग्र पद कहलाता है।
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कौन-सा बहुपद घन बहुपद है?
Which polynomial is a cubic polynomial?
#cubic_polynomial
#degree
#classification
A \(x^3-2x+1\)
B \(x^2+4\)
C (7x-9)
D (5)
Explanation opens after your attempt
Correct Answer
A. \(x^3-2x+1\)
Step 1
Concept
A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).
Step 2
Why this answer is correct
The correct answer is A. \(x^3-2x+1\). A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).
Step 3
Exam Tip
घन बहुपद की घात (3) होती है। \(x^3-2x+1\) की सबसे बड़ी घात (3) है।
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बहुपद \(3x^3+0x^2-2x+5\) की घात क्या है?
What is the degree of \(3x^3+0x^2-2x+5\)?
#degree
#zero_coefficient
#polynomials
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
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।
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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)?
#zero_polynomial
#degree
#concept
A घात (0) है / Degree is (0)
B घात (1) है / Degree is (1)
C घात परिभाषित नहीं है / Degree is undefined
D घात (2) है / Degree is (2)
Explanation opens after your attempt
Correct Answer
C. घात परिभाषित नहीं है / Degree 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।
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स्थिर बहुपद (p(x)=9) की घात क्या है?
What is the degree of the constant polynomial (p(x)=9)?
#constant_polynomial
#degree
#basics
A (0)
B (1)
C (9)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
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।
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बहुपद \(6x^5+x^2-4\) का अग्र गुणांक क्या है?
What is the leading coefficient of \(6x^5+x^2-4\)?
#leading_coefficient
#polynomials
#degree
A (6)
B (1)
C \(-4\)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(6x^5\) है। इसलिए अग्र गुणांक (6) है।
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कौन-सा बहुपद रैखिक बहुपद है?
Which polynomial is a linear polynomial?
#linear_polynomial
#degree
#classification
A \(x^2+1\)
B (3x-8)
C \(x^3+x\)
D (6)
Explanation opens after your attempt
Step 1
Concept
A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 2
Why this answer is correct
The correct answer is B. (3x-8). A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 3
Exam Tip
रैखिक बहुपद की घात (1) होती है। (3x-8) की सबसे बड़ी घात (1) है।
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कौन-सा बहुपद द्विघात बहुपद है?
Which polynomial is a quadratic polynomial?
#quadratic_polynomial
#degree
#classification
A (2x+5)
B \(x^2-4x+1\)
C \(x^3+1\)
D (8)
Explanation opens after your attempt
Correct Answer
B. \(x^2-4x+1\)
Step 1
Concept
A quadratic polynomial has degree (2). In \(x^2-4x+1\), the highest power is (2).
Step 2
Why this answer is correct
The correct answer is B. \(x^2-4x+1\). A quadratic polynomial has degree (2). In \(x^2-4x+1\), the highest power is (2).
Step 3
Exam Tip
द्विघात बहुपद की घात (2) होती है। \(x^2-4x+1\) में सबसे बड़ी घात (2) है।
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बहुपद (p(x)=4x-3 -2x+9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-3 -2x+9)?
#degree
#polynomials
#one_variable
A (3)
B (2)
C (1)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।
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समीकरण \(x^2+1=0\) की घात क्या है?
What is the degree of \(x^2+1=0\)?
#quadratic-equations
#degree
#constant-term
A (1)
B (2)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) is (2). The constant term does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) is (2). The constant term does not change the degree.
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। स्थिर पद घात को नहीं बदलता।
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समीकरण \(7x^2-4x+9=0\) की घात क्या है?
What is the degree of the equation \(7x^2-4x+9=0\)?
#quadratic-equations
#degree
#easy
A (1)
B (2)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 3
Exam Tip
इस समीकरण में (x) की सबसे बड़ी घात (2) है। घात हमेशा चर की सबसे बड़ी शक्ति से तय होती है।
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\(6x^2-5x+2=0\) की घात क्या है?
What is the degree of \(6x^2-5x+2=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore it is a quadratic equation.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore it is a quadratic equation.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए यह द्विघात समीकरण है।
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\(2x^2+7x+3=0\) के अधिकतम कितने वास्तविक हल हो सकते हैं?
What is the maximum number of real solutions possible for \(2x^2+7x+3=0\)?
#quadratic equations
#number of solutions
#degree
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
A quadratic equation can have at most (2) real solutions. The degree indicates the maximum number of solutions.
Step 2
Why this answer is correct
The correct answer is B. (2). A quadratic equation can have at most (2) real solutions. The degree indicates the maximum number of solutions.
Step 3
Exam Tip
द्विघात समीकरण के अधिकतम (2) वास्तविक हल हो सकते हैं। घात से अधिकतम हलों का संकेत मिलता है।
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कौन सा समीकरण (t) में द्विघात है?
Which equation is quadratic in (t)?
#quadratic equations
#variable
#degree
A \(t^2+3t+2=0\)
B \(x^2+3x+2=0\)
C (t+3=0)
D (3t-2=0)
Explanation opens after your attempt
Correct Answer
A. \(t^2+3t+2=0\)
Step 1
Concept
In option (A), the variable (t) has highest power (2). So it is quadratic in (t).
Step 2
Why this answer is correct
The correct answer is A. \(t^2+3t+2=0\). In option (A), the variable (t) has highest power (2). So it is quadratic in (t).
Step 3
Exam Tip
विकल्प (A) में चर (t) की सबसे बड़ी घात (2) है। इसलिए यह (t) में द्विघात है।
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यदि किसी समीकरण में चर की सबसे बड़ी घात (2) है तो उसे क्या कहा जाता है?
If the highest power of the variable in an equation is (2), what is it called?
#quadratic equations
#definition
#degree
A रैखिक समीकरण / Linear equation
B द्विघात समीकरण / Quadratic equation
C घन समीकरण / Cubic equation
D चर रहित समीकरण / Equation without variable
Explanation opens after your attempt
Correct Answer
B. द्विघात समीकरण / Quadratic equation
Step 1
Concept
When the highest power is (2), the equation is called quadratic. Identifying degree is the first step.
Step 2
Why this answer is correct
The correct answer is B. द्विघात समीकरण / Quadratic equation. When the highest power is (2), the equation is called quadratic. Identifying degree is the first step.
Step 3
Exam Tip
सबसे बड़ी घात (2) होने पर समीकरण द्विघात कहलाता है। घात पहचानना पहला कदम है।
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\(5x^2+2x-1=0\) की घात क्या है?
What is the degree of \(5x^2+2x-1=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore the equation is quadratic.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।
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\(x^2+3x+2=0\) में कितने अधिकतम वास्तविक हल हो सकते हैं?
What is the maximum number of real solutions possible for \(x^2+3x+2=0\)?
#quadratic equations
#number of solutions
#degree
A (1)
B (2)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
A quadratic equation can have at most (2) real solutions. In easy questions, degree indicates the maximum possible solutions.
Step 2
Why this answer is correct
The correct answer is B. (2). A quadratic equation can have at most (2) real solutions. In easy questions, degree indicates the maximum possible solutions.
Step 3
Exam Tip
द्विघात समीकरण के अधिकतम (2) वास्तविक हल हो सकते हैं। आसान प्रश्न में घात से अधिकतम हल का संकेत मिलता है।
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कौन सा समीकरण (x) में द्विघात है लेकिन (y) में नहीं?
Which equation is quadratic in (x) but not in (y)?
#quadratic equations
#variable
#degree
A \(x^2+5x+6=0\)
B \(y^2+2y+1=0\)
C (x+5=0)
D (y+3=0)
Explanation opens after your attempt
Correct Answer
A. \(x^2+5x+6=0\)
Step 1
Concept
In option (A), the variable (x) has degree (2). So it is quadratic in (x).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+5x+6=0\). In option (A), the variable (x) has degree (2). So it is quadratic in (x).
Step 3
Exam Tip
विकल्प (A) में चर (x) की घात (2) है। इसलिए यह (x) में द्विघात है।
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यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?
If an equation in (x) has degree (2), what is it called?
#quadratic equations
#definition
#degree
A रैखिक समीकरण / Linear equation
B द्विघात समीकरण / Quadratic equation
C घन समीकरण / Cubic equation
D स्थिर समीकरण / Constant equation
Explanation opens after your attempt
Correct Answer
B. द्विघात समीकरण / Quadratic equation
Step 1
Concept
An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).
Step 2
Why this answer is correct
The correct answer is B. द्विघात समीकरण / Quadratic equation. An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).
Step 3
Exam Tip
घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें।
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कौन सा समीकरण द्विघात नहीं है?
Which equation is not quadratic?
#quadratic equations
#not quadratic
#degree
A \(x^2+x+1=0\)
B \(2x^2-3=0\)
C \(x^3+x+1=0\)
D \(4x^2=7\)
Explanation opens after your attempt
Correct Answer
C. \(x^3+x+1=0\)
Step 1
Concept
The degree of \(x^3+x+1=0\) is (3). So it is not a quadratic equation.
Step 2
Why this answer is correct
The correct answer is C. \(x^3+x+1=0\). The degree of \(x^3+x+1=0\) is (3). So it is not a quadratic equation.
Step 3
Exam Tip
\(x^3+x+1=0\) की घात (3) है। इसलिए यह द्विघात समीकरण नहीं है।
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निम्न में से कौन सा द्विघात बहुपद है?
Which of the following is a quadratic polynomial?
#quadratic equations
#quadratic polynomial
#degree
A (7x+1)
B \(x^2-3x+2\)
C \(x^3-1\)
D (5)
Explanation opens after your attempt
Correct Answer
B. \(x^2-3x+2\)
Step 1
Concept
A quadratic polynomial has degree (2). In \(x^2-3x+2\), the highest power is (2).
Step 2
Why this answer is correct
The correct answer is B. \(x^2-3x+2\). A quadratic polynomial has degree (2). In \(x^2-3x+2\), the highest power is (2).
Step 3
Exam Tip
द्विघात बहुपद की घात (2) होती है। \(x^2-3x+2\) में सबसे बड़ी घात (2) है।
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