कौन-सा व्यंजक (x) में एक चर वाला बहुपद है?
Which expression is a polynomial in one variable (x)?
#polynomials
#one_variable
#identification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3x^2-5x+7\)
B \(\frac{2}{x}+1\)
C \(\sqrt{x}+4\)
D (x+y)
Explanation opens after your attempt
Correct Answer
A. \(3x^2-5x+7\)
Explanation
Simple Explanation
\(3x^2-5x+7\) में केवल (x) है और घातें पूर्ण संख्याएँ हैं। परीक्षा में चर की घात ऋणात्मक या भिन्न नहीं होनी चाहिए। / The expression \(3x^2-5x+7\) has only (x) and non-negative integer powers. In exams, the variable power must not be negative or fractional.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3)
B (2)
C (1)
D (9)
Explanation opens after your attempt
Explanation
Simple Explanation
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें। / The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Login to save your score, XP, coins and progress. Login
बहुपद \(7x^2+5x-11\) में स्थिर पद क्या है?
What is the constant term in the polynomial \(7x^2+5x-11\)?
#constant_term
#polynomials
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7)
B (5)
C \(-11\)
D (2)
Explanation opens after your attempt
Correct Answer
C. \(-11\)
Explanation
Simple Explanation
स्थिर पद वह होता है जिसमें (x) नहीं होता। यहाँ स्थिर पद (-11) है। / The constant term is the term without (x). Here the constant term is (-11).
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5)
B \(-3\)
C (1)
D \(-6\)
Explanation opens after your attempt
Explanation
Simple Explanation
\(x^2\) के साथ लगा संख्या गुणांक (-3) है। परीक्षा में पद का चिह्न भी गुणांक में शामिल करें। / The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद द्विघात बहुपद है?
Which polynomial is a quadratic polynomial?
#quadratic_polynomial
#degree
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x+5)
B \(x^2-4x+1\)
C \(x^3+1\)
D (8)
Explanation opens after your attempt
Correct Answer
B. \(x^2-4x+1\)
Explanation
Simple Explanation
द्विघात बहुपद की घात (2) होती है। \(x^2-4x+1\) में सबसे बड़ी घात (2) है। / A quadratic polynomial has degree (2). In \(x^2-4x+1\), the highest power is (2).
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक बहुपद नहीं है?
Which expression is not a polynomial?
#not_polynomial
#negative_power
#concept
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+3x+2\)
B (5x-1)
C \(x^{-1}+4\)
D (7)
Explanation opens after your attempt
Correct Answer
C. \(x^{-1}+4\)
Explanation
Simple Explanation
\(x^{-1}\) में चर की घात ऋणात्मक है इसलिए यह बहुपद नहीं है। परीक्षा में घातें \(0,1,2,\ldots\) जैसी होनी चाहिए। / The term \(x^{-1}\) has a negative power of the variable, so it is not a polynomial. In exams, powers should be like \(0,1,2,\ldots\).
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=2x-2 -3x+1) के लिए (p(1)) का मान क्या है?
For the polynomial (p(x)=2x-2 -3x+1), what is the value of (p(1))?
#evaluation
#polynomials
#value
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C (2)
D \(-1\)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(1)=2(1)2 -3(1)+1=0)। परीक्षा में (x) की जगह दिए गए मान को सावधानी से रखें। / (p(1)=2(1)2 -3(1)+1=0). In exams, substitute the given value for (x) carefully.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
इसमें \(x^3\), \(2x^2\), (-x) और (4) चार पद हैं। परीक्षा में पदों को (+) या (-) से अलग पहचानें। / It has four terms \(x^3\), \(2x^2\), (-x), and (4). In exams, identify terms separated by (+) or (-).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद रैखिक बहुपद है?
Which polynomial is a linear polynomial?
#linear_polynomial
#degree
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+1\)
B (3x-8)
C \(x^3+x\)
D (6)
Explanation opens after your attempt
Explanation
Simple Explanation
रैखिक बहुपद की घात (1) होती है। (3x-8) की सबसे बड़ी घात (1) है। / A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (6)
B (1)
C \(-4\)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
सबसे बड़ी घात वाला पद \(6x^5\) है। इसलिए अग्र गुणांक (6) है। / The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद एकपदी है?
Which polynomial is a monomial?
#monomial
#polynomials
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3x^2\)
B (x+2)
C \(x^2+x+1\)
D \(x^3-4x\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2\)
Explanation
Simple Explanation
एकपदी में केवल एक पद होता है। \(3x^2\) एक ही पद है। / A monomial has only one term. The expression \(3x^2\) has one term.
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद द्विपदी है?
Which polynomial is a binomial?
#binomial
#polynomials
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+3x+2\)
B (5x-7)
C \(4x^3\)
D \(x^4+x^2+x+1\)
Explanation opens after your attempt
Explanation
Simple Explanation
द्विपदी में दो पद होते हैं। (5x-7) में (5x) और (-7) दो पद हैं। / A binomial has two terms. The expression (5x-7) has the two terms (5x) and (-7).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद त्रिपदी है?
Which polynomial is a trinomial?
#trinomial
#polynomials
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+x+1\)
B (2x-3)
C \(7x^4\)
D \(x^3+x^2+x+1\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+x+1\)
Explanation
Simple Explanation
त्रिपदी में तीन पद होते हैं। \(x^2+x+1\) में तीन पद हैं। / A trinomial has three terms. The expression \(x^2+x+1\) has three terms.
Login to save your score, XP, coins and progress. Login
स्थिर बहुपद (p(x)=9) की घात क्या है?
What is the degree of the constant polynomial (p(x)=9)?
#constant_polynomial
#degree
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C (9)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Explanation
Simple Explanation
शून्य से भिन्न स्थिर बहुपद की घात (0) होती है। (9) को \(9x^0\) माना जा सकता है। / A non-zero constant polynomial has degree (0). The number (9) may be written as \(9x^0\).
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
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
Explanation
Simple Explanation
शून्य बहुपद की घात परिभाषित नहीं होती। परीक्षा में इसे स्थिर शून्य से भिन्न बहुपद से अलग रखें। / The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (x) में बहुपद नहीं है?
Which expression is not a polynomial in (x)?
#not_polynomial
#fractional_power
#concept
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4x^2-1\)
B \(x^3+2x\)
C \(\sqrt{x}+5\)
D (6x+7)
Explanation opens after your attempt
Correct Answer
C. \(\sqrt{x}+5\)
Explanation
Simple Explanation
\(\sqrt{x}=x^{\frac{1}{2}}\) में चर की घात भिन्न है इसलिए यह बहुपद नहीं है। परीक्षा में घात पूर्ण संख्या होनी चाहिए। / Since \(\sqrt{x}=x^{\frac{1}{2}}\), the variable has a fractional power, so it is not a polynomial. In exams, powers must be whole numbers.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=x-2 -5x+6) के लिए (p(2)) का मान क्या है?
For (p(x)=x-2 -5x+6), what is the value of (p(2))?
#evaluation
#polynomial_value
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (2)
C \(-2\)
D (6)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(2)=22 -5(2)+6=0)। परीक्षा में ऋणात्मक पद का चिह्न ध्यान से रखें। / (p(2)=22 -5(2)+6=0). In exams, keep the sign of the negative term carefully.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
सबसे बड़ी शून्य से भिन्न घात वाला पद \(3x^3\) है। इसलिए घात (3) है। / The highest non-zero power term is \(3x^3\). So the degree is (3).
Login to save your score, XP, coins and progress. Login
\(2x^2+3xy+1\) एक चर वाला बहुपद क्यों नहीं है?
Why is \(2x^2+3xy+1\) not a polynomial in one variable?
#one_variable
#not_polynomial
#concept
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A क्योंकि इसमें दो चर हैं / Because it has two variables
B क्योंकि इसमें कोई स्थिर पद नहीं है / Because it has no constant term
C क्योंकि इसकी घात (2) है / Because its degree is (2)
D क्योंकि गुणांक वास्तविक नहीं हैं / Because coefficients are not real
Explanation opens after your attempt
Correct Answer
A. क्योंकि इसमें दो चर हैं / Because it has two variables
Explanation
Simple Explanation
इसमें (x) और (y) दोनों चर हैं। एक चर वाले बहुपद में केवल एक ही चर होना चाहिए। / It contains both (x) and (y). A polynomial in one variable should contain only one variable.
Login to save your score, XP, coins and progress. Login
बहुपद (p(t)=8t-2 -3t+4) में चर कौन-सा है?
Which is the variable in the polynomial (p(t)=8t-2 -3t+4)?
#variable
#polynomial_notation
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (p)
B (t)
C (8)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(t)) में बदलने वाला चिन्ह (t) है। इसलिए चर (t) है। / In (p(t)), the changing symbol is (t). So the variable is (t).
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B \(-2\)
C (7)
D (3)
Explanation opens after your attempt
Explanation
Simple Explanation
\(x^3\) के साथ (-2) लगा है। इसलिए \(x^3\) का गुणांक (-2) है। / The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद घन बहुपद है?
Which polynomial is a cubic polynomial?
#cubic_polynomial
#degree
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^3-2x+1\)
B \(x^2+4\)
C (7x-9)
D (5)
Explanation opens after your attempt
Correct Answer
A. \(x^3-2x+1\)
Explanation
Simple Explanation
घन बहुपद की घात (3) होती है। \(x^3-2x+1\) की सबसे बड़ी घात (3) है। / A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).
Login to save your score, XP, coins and progress. Login
बहुपद \(4x^2+3x^4-x+2\) को मानक रूप में कैसे लिखा जाएगा?
How is \(4x^2+3x^4-x+2\) written in standard form?
#standard_form
#polynomials
#arrangement
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3x^4+4x^2-x+2\)
B \(2-x+4x^2+3x^4\)
C \(4x^2+3x^4-x+2\)
D \(3x^4-x+4x^2+2\)
Explanation opens after your attempt
Correct Answer
A. \(3x^4+4x^2-x+2\)
Explanation
Simple Explanation
मानक रूप में पद घटती घातों में लिखे जाते हैं। इसलिए \(3x^4+4x^2-x+2\) सही है। / In standard form, terms are written in decreasing powers. Therefore \(3x^4+4x^2-x+2\) is correct.
Login to save your score, XP, coins and progress. Login
यदि (p(x)=5x-3), तो (p(0)) का मान क्या है?
If (p(x)=5x-3), what is the value of (p(0))?
#evaluation
#constant_term
#linear_polynomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5)
B \(-3\)
C (0)
D (3)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(0)=5(0)-3=-3)। परीक्षा में (x=0) रखने पर केवल स्थिर पद बचता है। / (p(0)=5(0)-3=-3). In exams, when (x=0), only the constant term remains.
Login to save your score, XP, coins and progress. Login
बहुपद \(x^5-4x^2+10\) में लुप्त \(x^4\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?
#missing_term
#coefficient
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B \(-4\)
C (0)
D (10)
Explanation opens after your attempt
Explanation
Simple Explanation
जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है। / A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (z) में एक चर वाला बहुपद है?
Which expression is a polynomial in one variable (z)?
#one_variable
#polynomial_identification
#z_variable
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(z^4-2z+1\)
B \(z^{-2}+3\)
C \(\frac{1}{z}+5\)
D (z+w)
Explanation opens after your attempt
Correct Answer
A. \(z^4-2z+1\)
Explanation
Simple Explanation
\(z^4-2z+1\) में केवल (z) है और घातें ऋणात्मक नहीं हैं। इसलिए यह (z) में बहुपद है। / The expression \(z^4-2z+1\) has only (z) and no negative powers. So it is a polynomial in (z).
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2x^3\)
B \(-7x^2\)
C (4x)
D \(-1\)
Explanation opens after your attempt
Correct Answer
A. \(2x^3\)
Explanation
Simple Explanation
सबसे बड़ी घात वाला पद \(2x^3\) है। यही अग्र पद कहलाता है। / The term with the highest power is \(2x^3\). This is called the leading term.
Login to save your score, XP, coins and progress. Login
\(\frac{x^2+1}{2}\) के बारे में कौन-सा कथन सही है?
Which statement is correct about \(\frac{x^2+1}{2}\)?
#real_coefficients
#polynomial_identification
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A यह बहुपद है / It is a polynomial
B यह बहुपद नहीं है / It is not a polynomial
C इसमें दो चर हैं / It has two variables
D इसकी घात परिभाषित नहीं है / Its degree is undefined
Explanation opens after your attempt
Correct Answer
A. यह बहुपद है / It is a polynomial
Explanation
Simple Explanation
\(\frac{x^2+1}{2}=\frac{1}{2}x^2+\frac{1}{2}\) है और गुणांक वास्तविक हैं। इसलिए यह बहुपद है। / \(\frac{x^2+1}{2}=\frac{1}{2}x^2+\frac{1}{2}\) and the coefficients are real. So it is a polynomial.
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक बहुपद नहीं है क्योंकि चर हर में है?
Which expression is not a polynomial because the variable is in the denominator?
#variable_denominator
#not_polynomial
#negative_power
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+2\)
B \(\frac{3}{x}+1\)
C (4x-5)
D \(8x^3\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{3}{x}+1\)
Explanation
Simple Explanation
\(\frac{3}{x}=3x^{-1}\) है और चर की घात ऋणात्मक है। इसलिए यह बहुपद नहीं है। / \(\frac{3}{x}=3x^{-1}\), so the variable has a negative power. Therefore it is not a polynomial.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=x-2 +2x+3) के लिए (p(-1)) का मान क्या है?
For (p(x)=x-2 +2x+3), what is the value of (p(-1))?
#evaluation
#negative_value
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(-1)=(-1)2 +2(-1)+3=2)। परीक्षा में ऋणात्मक मान रखते समय कोष्ठक लगाएं। / (p(-1)=(-1)2 +2(-1)+3=2). In exams, use brackets while substituting a negative value.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
समान पद मिलाकर \(2x^3+x+5\) मिलता है। सबसे बड़ी घात (3) है। / Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद स्थिर बहुपद है?
Which polynomial is a constant polynomial?
#constant_polynomial
#classification
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3x+2)
B \(x^2-1\)
C \(-7\)
D \(x^3\)
Explanation opens after your attempt
Explanation
Simple Explanation
स्थिर बहुपद में चर नहीं होता। (-7) शून्य से भिन्न स्थिर बहुपद है। / A constant polynomial has no variable. The number (-7) is a non-zero constant polynomial.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A रैखिक / Linear
B द्विघात / Quadratic
C घन / Cubic
D स्थिर / Constant
Explanation opens after your attempt
Correct Answer
B. द्विघात / Quadratic
Explanation
Simple Explanation
क्योंकि \(a\neq0\), \(x^2\) वाला पद उपस्थित है। इसलिए घात (2) है और यह द्विघात बहुपद है। / Since \(a\neq0\), the \(x^2\) term is present. So the degree is (2) and it is a quadratic polynomial.
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Explanation
Simple Explanation
\(a\neq0\) होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है। / Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).
Login to save your score, XP, coins and progress. Login
बहुपद \(2x^2-9\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-9\)?
#coefficient
#missing_term
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B \(-9\)
C (0)
D (1)
Explanation opens after your attempt
Explanation
Simple Explanation
इसमें (x) वाला पद लिखा नहीं है इसलिए उसका गुणांक (0) है। परीक्षा में लुप्त पद का गुणांक (0) मानें। / There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक एक चर वाला बहुपद है जिसमें वास्तविक गुणांक हैं?
Which expression is a polynomial in one variable with real coefficients?
#real_coefficients
#polynomial_identification
#irrational_coefficient
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{2}x^2-3x+1\)
B \(\sqrt{x}+2\)
C \(x^{-2}+1\)
D \(\frac{1}{x}+3\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{2}x^2-3x+1\)
Explanation
Simple Explanation
\(\sqrt{2}\) एक वास्तविक संख्या है और (x) की घातें पूर्ण संख्याएँ हैं। इसलिए यह बहुपद है। / \(\sqrt{2}\) is a real number and the powers of (x) are whole numbers. So it is a polynomial.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=3x-2 +4x+5) में कुल कितने गुणांक हैं जब इसे \(ax^2+bx+c\) रूप में देखें?
How many coefficients are there in (p(x)=3x-2 +4x+5) when viewed as \(ax^2+bx+c\)?
#coefficients
#quadratic_polynomial
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
\(ax^2+bx+c\) में (a), (b) और (c) तीन गुणांक होते हैं। यहाँ वे (3), (4) और (5) हैं। / In \(ax^2+bx+c\), there are three coefficients (a), (b), and (c). Here they are (3), (4), and (5).
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद (x) में (4) घात का है?
Which polynomial in (x) has degree (4)?
#degree_four
#polynomials
#identification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^4+x^2+1\)
B \(x^3+x+1\)
C \(x^2+4\)
D (4x+1)
Explanation opens after your attempt
Correct Answer
A. \(x^4+x^2+1\)
Explanation
Simple Explanation
\(x^4+x^2+1\) में सबसे बड़ी घात (4) है। इसलिए इसकी घात (4) है। / The highest power in \(x^4+x^2+1\) is (4). So its degree is (4).
Login to save your score, XP, coins and progress. Login
यदि (p(x)=2x-2 +kx+3) में (x) का गुणांक (5) है, तो (k) का मान क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+3) is (5), what is the value of (k)?
#coefficient
#parameter
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Explanation
Simple Explanation
(kx) में (x) का गुणांक (k) है। इसलिए (k=5) होगा। / In (kx), the coefficient of (x) is (k). Therefore (k=5).
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 +ax+4) का स्थिर पद (4) है, तो स्थिर पद कौन-सा है?
If the constant term of (p(x)=x-2 +ax+4) is (4), which term is the constant term?
#constant_term
#parameter
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2\)
B (ax)
C (4)
D (a)
Explanation opens after your attempt
Explanation
Simple Explanation
स्थिर पद में (x) नहीं होता। इसलिए (4) स्थिर पद है। / The constant term does not contain (x). So (4) is the constant term.
Login to save your score, XP, coins and progress. Login
कौन-सा कथन (p(x)=0) के लिए सही है?
Which statement is correct for (p(x)=0)?
#zero_polynomial
#classification
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A यह शून्य बहुपद है / It is the zero polynomial
B यह रैखिक बहुपद है / It is a linear polynomial
C यह द्विघात बहुपद है / It is a quadratic polynomial
D यह घन बहुपद है / It is a cubic polynomial
Explanation opens after your attempt
Correct Answer
A. यह शून्य बहुपद है / It is the zero polynomial
Explanation
Simple Explanation
(p(x)=0) को शून्य बहुपद कहते हैं। इसकी घात परिभाषित नहीं होती। / (p(x)=0) is called the zero polynomial. Its degree is undefined.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=x-3 -1) के लिए (p(1)) का मान क्या है?
For (p(x)=x-3 -1), what is the value of (p(1))?
#evaluation
#cubic_polynomial
#value
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C \(-1\)
D (2)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(1)=13 -1=0)। परीक्षा में सीधे (x=1) रखकर मान निकालें। / (p(1)=13 -1=0). In exams, substitute (x=1) directly to find the value.
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (x) में बहुपद है?
Which expression is a polynomial in (x)?
#polynomial_identification
#fraction_coefficient
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^{\frac{3}{2}}+1\)
B \(x^2+\frac{1}{3}x+2\)
C \(\frac{1}{x^2}+1\)
D \(\sqrt{x^3}+2\)
Explanation opens after your attempt
Correct Answer
B. \(x^2+\frac{1}{3}x+2\)
Explanation
Simple Explanation
\(x^2+\frac{1}{3}x+2\) में (x) की घातें (2), (1) और (0) हैं। इसलिए यह बहुपद है। / In \(x^2+\frac{1}{3}x+2\), the powers of (x) are (2), (1), and (0). So it is a polynomial.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=2x-4 -5x-3 +x-8) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -5x-3 +x-8)?
#coefficient
#missing_term
#degree_four
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B \(-5\)
C (1)
D (0)
Explanation opens after your attempt
Explanation
Simple Explanation
इस बहुपद में \(x^2\) पद नहीं है। इसलिए \(x^2\) का गुणांक (0) है। / There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -4), तो (p(3)) का मान क्या है?
If (p(x)=x-2 -4), what is the value of (p(3))?
#evaluation
#quadratic_polynomial
#value
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3)
B (5)
C (9)
D (13)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(3)=32 -4=5)। परीक्षा में पहले घात का मान निकालें फिर घटाएं। / (p(3)=32 -4=5). In exams, first evaluate the power and then subtract.
Login to save your score, XP, coins and progress. Login
कौन-सा बहुपद (x) में (0) घात का है?
Which polynomial in (x) has degree (0)?
#degree_zero
#constant_polynomial
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (12)
B (x+12)
C \(x^2+12\)
D (0)
Explanation opens after your attempt
Explanation
Simple Explanation
(12) शून्य से भिन्न स्थिर बहुपद है और इसकी घात (0) है। (0) बहुपद की घात परिभाषित नहीं होती। / The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.
Login to save your score, XP, coins and progress. Login
बहुपद (p(x)=7x-2 -1) में कितने पद हैं?
How many terms are there in (p(x)=7x-2 -1)?
#terms
#binomial
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
\(7x^2\) और (-1) दो पद हैं। इसलिए यह द्विपदी भी है। / There are two terms \(7x^2\) and (-1). So it is also a binomial.
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक मानक बहुपद रूप में लिखा है?
Which expression is written in standard polynomial form?
#standard_form
#arrangement
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(5+2x+x^3\)
B \(x^3+2x+5\)
C \(2x+5+x^3\)
D \(5+x^3+2x\)
Explanation opens after your attempt
Correct Answer
B. \(x^3+2x+5\)
Explanation
Simple Explanation
मानक रूप में पद बड़ी घात से छोटी घात की ओर लिखे जाते हैं। \(x^3+2x+5\) इसी क्रम में है। / In standard form, terms are written from higher power to lower power. The expression \(x^3+2x+5\) follows this order.
Login to save your score, XP, coins and progress. Login
यदि (p(x)=2x-2 +3x-2), तो (p(-2)) का मान क्या है?
If (p(x)=2x-2 +3x-2), what is the value of (p(-2))?
#evaluation
#negative_value
#quadratic_polynomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (2)
C \(-4\)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
(p(-2)=2(-2)2 +3(-2)-2=0)। परीक्षा में ((-2)2 ) को (4) लिखना न भूलें। / (p(-2)=2(-2)2 +3(-2)-2=0). In exams, remember that ((-2)2 ) is (4).
Login to save your score, XP, coins and progress. Login
कौन-सा कथन \(x^2+\sqrt{3}x+1\) के लिए सही है?
Which statement is correct for \(x^2+\sqrt{3}x+1\)?
#real_coefficients
#irrational_coefficient
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A यह बहुपद है / It is a polynomial
B यह बहुपद नहीं है क्योंकि \(\sqrt{3}\) है / It is not a polynomial because of \(\sqrt{3}\)
C इसमें चर हर में है / The variable is in denominator
D इसकी घात परिभाषित नहीं है / Its degree is undefined
Explanation opens after your attempt
Correct Answer
A. यह बहुपद है / It is a polynomial
Explanation
Simple Explanation
\(\sqrt{3}\) वास्तविक गुणांक है और (x) की घातें पूर्ण संख्याएँ हैं। इसलिए यह बहुपद है। / \(\sqrt{3}\) is a real coefficient and the powers of (x) are whole numbers. Therefore it is a polynomial.
Login to save your score, XP, coins and progress. Login