25 results found for "binomial-derivative" in Class 10.
निम्न में से कौन सा द्विपदी है?
Which of the following is a binomial?
#polynomials
#binomial
#easy
#classification
A \(x^2+3\)
B \(x^2+x+3\)
C \(5x^3\)
D (7)
Explanation opens after your attempt
Correct Answer
A. \(x^2+3\)
Explanation
Simple Explanation
दो पदों वाला बहुपद द्विपदी कहलाता है। \(x^2+3\) में दो पद हैं। / A polynomial with two terms is a binomial. \(x^2+3\) has two terms.
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कौन-सा बहुपद द्विपदी है?
Which polynomial is a binomial?
#binomial
#polynomials
#classification
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).
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((3x+2)(x-4)) को सरल करने पर क्या मिलेगा?
What is obtained by simplifying ((3x+2)(x-4))?
#binomial multiplication
#polynomial
#expansion
A \(3x^2-10x-8\)
B \(3x^2+14x-8\)
C \(3x^2-12x+2\)
D \(3x^2-10x+8\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2-10x-8\)
Explanation
Simple Explanation
((3x+2)(x-4)=3x-2 -12x+2x-8=3x-2 -10x-8)। प्रत्येक पद का हर पद से गुणा करें। / ((3x+2)(x-4)=3x-2 -12x+2x-8=3x-2 -10x-8). Multiply each term by each term.
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((x-5)(x+2)) का बहुपद रूप क्या है?
What is the polynomial form of ((x-5)(x+2))?
#binomial multiplication
#expansion
#polynomial
A \(x^2-3x-10\)
B \(x^2+7x-10\)
C \(x^2-3x+10\)
D \(x^2-7x-10\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-3x-10\)
Explanation
Simple Explanation
((x-5)(x+2)=x-2 +2x-5x-10=x-2 -3x-10)। मध्य पदों को संकेत सहित जोड़ें। / ((x-5)(x+2)=x-2 +2x-5x-10=x-2 -3x-10). Combine the middle terms with signs.
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कौन सा विकल्प \(x^3-1\) के प्रकार को सही बताता है?
Which option correctly describes the type of \(x^3-1\)?
#cubic-binomial
#classification
#terms
A रैखिक द्विपदी / Linear binomial
B द्विघात त्रिपदी / Quadratic trinomial
C त्रिघात द्विपदी / Cubic binomial
D नियत एकपदी / Constant monomial
Explanation opens after your attempt
Correct Answer
C. त्रिघात द्विपदी / Cubic binomial
Explanation
Simple Explanation
\(x^3-1\) की घात (3) है और इसमें (2) पद हैं। इसलिए यह त्रिघात द्विपदी है। / \(x^3-1\) has degree (3) and (2) terms. So it is a cubic binomial.
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((2x-1)(x+5)) को सरल करने पर क्या मिलेगा?
What is obtained by simplifying ((2x-1)(x+5))?
#binomial multiplication
#polynomial
#expansion
A \(2x^2+9x-5\)
B \(2x^2+10x-1\)
C \(2x^2-9x-5\)
D \(2x^2+9x+5\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2+9x-5\)
Explanation
Simple Explanation
((2x-1)(x+5)=2x-2 +10x-x-5=2x-2 +9x-5)। हर पद का हर पद से गुणा करें। / ((2x-1)(x+5)=2x-2 +10x-x-5=2x-2 +9x-5). Multiply each term by each term.
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बहुपद \(7x^2+5\) में कितने पद हैं?
How many terms are there in \(7x^2+5\)?
#terms
#binomial
A (1)
B (2)
C (3)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
पद \(7x^2\) और (5) हैं। इसलिए इसमें (2) पद हैं। / The terms are \(7x^2\) and (5). Therefore it has (2) terms.
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निम्न में से कौन सा बहुपद (2) पदों वाला है?
Which of the following is a polynomial with (2) terms?
#binomial
#number-of-terms
A \(x^2+x+1\)
B \(5x^3-4\)
C (7x)
D \(x^4+x^3+x^2+x\)
Explanation opens after your attempt
Correct Answer
B. \(5x^3-4\)
Explanation
Simple Explanation
\(5x^3-4\) में (2) पद हैं। दो पदों वाला बहुपद द्विपदी कहलाता है। / \(5x^3-4\) has (2) terms. A polynomial with two terms is called a binomial.
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बहुपद (p(x)=7x-2 -1) में कितने पद हैं?
How many terms are there in (p(x)=7x-2 -1)?
#terms
#binomial
#polynomials
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
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.
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((5x+2)2 ) का विस्तार क्या है?
What is the expansion of ((5x+2)2 )?
#polynomials
#identity
#square of binomial
A \(25x^2+20x+4\)
B \(25x^2+10x+4\)
C \(5x^2+20x+4\)
D \(25x^2+4\)
Explanation opens after your attempt
Correct Answer
A. \(25x^2+20x+4\)
Explanation
Simple Explanation
((a+b)2 ) में (a=5x) और (b=2) लें। मध्य पद \(2\cdot5x\cdot2=20x\) है। / Take (a=5x) and (b=2) in ((a+b)2 ). The middle term is \(2\cdot5x\cdot2=20x\).
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((4x-5)2 ) का विस्तार क्या है?
What is the expansion of ((4x-5)2 )?
#polynomials
#identity
#binomial square
A \(16x^2-40x+25\)
B \(16x^2-20x+25\)
C \(4x^2-40x+25\)
D \(16x^2-25\)
Explanation opens after your attempt
Correct Answer
A. \(16x^2-40x+25\)
Explanation
Simple Explanation
((a-b)2 =a-2 -2ab+b-2 ) लगाएँ। यहाँ (a=4x) और (b=5) हैं। / Use ((a-b)2 =a-2 -2ab+b-2 ). Here (a=4x) and (b=5).
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((4x+5)(x-3)) का विस्तार क्या है?
What is the expansion of ((4x+5)(x-3))?
#polynomials
#binomial multiplication
#expansion
A \(4x^2-7x-15\)
B \(4x^2+7x-15\)
C \(4x^2-12x+5\)
D \(4x^2-15\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-7x-15\)
Explanation
Simple Explanation
वितरण से \(4x^2-12x+5x-15=4x^2-7x-15\) है। समान पदों को अंत में जोड़ें। / By distribution, \(4x^2-12x+5x-15=4x^2-7x-15\). Combine like terms at the end.
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((x-7)(x+3)) का विस्तार क्या है?
What is the expansion of ((x-7)(x+3))?
#polynomials
#binomial multiplication
#signs
A \(x^2-4x-21\)
B \(x^2+4x-21\)
C \(x^2-10x+21\)
D \(x^2-21\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-4x-21\)
Explanation
Simple Explanation
गुणा करने पर \(x^2+3x-7x-21=x^2-4x-21\) है। चिह्नों पर ध्यान दें। / Multiplying gives \(x^2+3x-7x-21=x^2-4x-21\). Pay attention to signs.
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((x+6)(x+4)) का विस्तार क्या है?
What is the expansion of ((x+6)(x+4))?
#polynomials
#binomial multiplication
#expansion
A \(x^2+10x+24\)
B \(x^2+24x+10\)
C \(x^2+10\)
D (2x+10)
Explanation opens after your attempt
Correct Answer
A. \(x^2+10x+24\)
Explanation
Simple Explanation
वितरण नियम से \(x^2+4x+6x+24=x^2+10x+24\) मिलता है। मध्य पद समान पद जोड़कर बनता है। / By distribution, \(x^2+4x+6x+24=x^2+10x+24\). The middle term forms by combining like terms.
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((4x+3)2 ) का विस्तार क्या है?
What is the expansion of ((4x+3)2 )?
#polynomials
#identity
#square of binomial
A \(16x^2+24x+9\)
B \(16x^2+12x+9\)
C \(4x^2+24x+9\)
D \(16x^2+9\)
Explanation opens after your attempt
Correct Answer
A. \(16x^2+24x+9\)
Explanation
Simple Explanation
((a+b)2 ) में (a=4x) और (b=3) लें। मध्य पद \(2\cdot4x\cdot3=24x\) है। / Take (a=4x) and (b=3) in ((a+b)2 ). The middle term is \(2\cdot4x\cdot3=24x\).
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((3x-4)2 ) का विस्तार क्या है?
What is the expansion of ((3x-4)2 )?
#polynomials
#identity
#binomial square
A \(9x^2-24x+16\)
B \(9x^2-12x+16\)
C \(3x^2-24x+16\)
D \(9x^2-16\)
Explanation opens after your attempt
Correct Answer
A. \(9x^2-24x+16\)
Explanation
Simple Explanation
((a-b)2 =a-2 -2ab+b-2 ) लगाएँ। यहाँ (a=3x) और (b=4) हैं। / Use ((a-b)2 =a-2 -2ab+b-2 ). Here (a=3x) and (b=4).
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((3x+1)(x-4)) का विस्तार क्या है?
What is the expansion of ((3x+1)(x-4))?
#polynomials
#binomial multiplication
#expansion
A \(3x^2-11x-4\)
B \(3x^2+11x-4\)
C \(3x^2-12x+1\)
D \(3x^2-4\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2-11x-4\)
Explanation
Simple Explanation
वितरण से \(3x^2-12x+x-4=3x^2-11x-4\) है। बीच के समान पद जोड़ें। / By distribution, \(3x^2-12x+x-4=3x^2-11x-4\). Combine the middle like terms.
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((x-5)(x+2)) का विस्तार क्या है?
What is the expansion of ((x-5)(x+2))?
#polynomials
#binomial multiplication
#signs
A \(x^2-3x-10\)
B \(x^2+3x-10\)
C \(x^2-7x+10\)
D \(x^2-10\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-3x-10\)
Explanation
Simple Explanation
गुणा करने पर \(x^2+2x-5x-10=x^2-3x-10\) है। चिह्नों पर ध्यान दें। / Multiplying gives \(x^2+2x-5x-10=x^2-3x-10\). Pay attention to signs.
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((3x+2)2 ) का विस्तार क्या है?
What is the expansion of ((3x+2)2 )?
#polynomials
#identity
#square of binomial
A \(9x^2+12x+4\)
B \(9x^2+6x+4\)
C \(3x^2+12x+4\)
D \(9x^2+4\)
Explanation opens after your attempt
Correct Answer
A. \(9x^2+12x+4\)
Explanation
Simple Explanation
((a+b)2 ) में (a=3x) और (b=2) लें। मध्य पद \(2\cdot3x\cdot2=12x\) है। / Take (a=3x) and (b=2) in ((a+b)2 ). The middle term is \(2\cdot3x\cdot2=12x\).
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((2x-3)2 ) का विस्तार क्या है?
What is the expansion of ((2x-3)2 )?
#polynomials
#identity
#binomial square
A \(4x^2-12x+9\)
B \(4x^2-6x+9\)
C \(2x^2-12x+9\)
D \(4x^2-9\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-12x+9\)
Explanation
Simple Explanation
((a-b)2 =a-2 -2ab+b-2 ) लगाएँ। यहाँ (a=2x) और (b=3) हैं। / Use ((a-b)2 =a-2 -2ab+b-2 ). Here (a=2x) and (b=3).
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((2x+3)(x-2)) का विस्तार क्या है?
What is the expansion of ((2x+3)(x-2))?
#polynomials
#binomial multiplication
#expansion
A \(2x^2-x-6\)
B \(2x^2+x-6\)
C \(2x^2-4x+3\)
D \(2x^2-6\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-x-6\)
Explanation
Simple Explanation
वितरण से \(2x^2-4x+3x-6=2x^2-x-6\) है। समान पदों को अंत में जोड़ें। / By distribution, \(2x^2-4x+3x-6=2x^2-x-6\). Combine like terms at the end.
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((x-4)(x+1)) का विस्तार क्या है?
What is the expansion of ((x-4)(x+1))?
#polynomials
#binomial multiplication
#signs
A \(x^2-3x-4\)
B \(x^2+3x-4\)
C \(x^2-5x+4\)
D \(x^2-4\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-3x-4\)
Explanation
Simple Explanation
गुणा करने पर \(x^2+x-4x-4=x^2-3x-4\) मिलता है। चिह्नों पर विशेष ध्यान दें। / Multiplying gives \(x^2+x-4x-4=x^2-3x-4\). Pay close attention to signs.
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((2x+1)(x-4)=0) का विस्तृत रूप क्या है?
What is the expanded form of ((2x+1)(x-4)=0)?
#quadratic equations
#expansion
#binomial product
A \(2x^2-7x-4=0\)
B \(2x^2+7x-4=0\)
C \(2x^2-8x+1=0\)
D \(2x^2-7x+4=0\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-7x-4=0\)
Explanation
Simple Explanation
विस्तार करने पर \(2x^2-8x+x-4=0\) मिलता है। समान पद जोड़कर \(2x^2-7x-4=0\) बनता है। / Expanding gives \(2x^2-8x+x-4=0\). Combining like terms gives \(2x^2-7x-4=0\).
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((x+4)(x+5)=0) का विस्तृत रूप क्या है?
What is the expanded form of ((x+4)(x+5)=0)?
#quadratic equations
#binomial expansion
#standard form
A \(x^2+9x+20=0\)
B \(x^2+20x+9=0\)
C \(x^2-9x+20=0\)
D \(x^2+9x-20=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+9x+20=0\)
Explanation
Simple Explanation
विस्तार करने पर \(x^2+5x+4x+20=0\) मिलता है। समान पद जोड़कर \(x^2+9x+20=0\) बनता है। / Expanding gives \(x^2+5x+4x+20=0\). Combining like terms gives \(x^2+9x+20=0\).
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((x+2)(x+3)=0) का विस्तृत रूप क्या है?
What is the expanded form of ((x+2)(x+3)=0)?
#quadratic equations
#expansion
#binomial product
A \(x^2+5x+6=0\)
B \(x^2+6x+5=0\)
C \(x^2-5x+6=0\)
D \(x^2+5x-6=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+5x+6=0\)
Explanation
Simple Explanation
विस्तार से \(x^2+3x+2x+6=0\) मिलता है। समान पद जोड़कर \(x^2+5x+6=0\) बनता है। / Expansion gives \(x^2+3x+2x+6=0\). Combining like terms gives \(x^2+5x+6=0\).
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