यदि (a+2b) भुजा वाले वर्ग का मॉडल बने, तो दोनों मिश्रित आयतों का कुल क्षेत्रफल क्या होगा?
If a model is made for a square of side (a+2b), what is the total area of both mixed rectangles?
#mixed-terms
#binomial-square
#visual
A (2ab)
B (4ab)
C \(2b^2\)
D \(a^2+4b^2\)
Explanation opens after your attempt
Step 1
Concept
One mixed rectangle is (2ab), and there are two such rectangles. In exams, count the mixed rectangle twice.
Step 2
Why this answer is correct
The correct answer is B. (4ab). One mixed rectangle is (2ab), and there are two such rectangles. In exams, count the mixed rectangle twice.
Step 3
Exam Tip
एक मिश्रित आयत (2ab) है और ऐसे दो आयत होते हैं। परीक्षा में मिश्रित आयत को दो बार गिनें।
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( (x+y+z)2 ) में \(x^2+y^2+z^2\) हटाने पर क्या बचेगा?
What remains when \(x^2+y^2+z^2\) is removed from ( (x+y+z)2 )?
#three term square
#mixed terms
#identity
A (xy+yz+zx)
B (2xy+2yz+2zx)
C (xyz)
D (x+y+z)
Explanation opens after your attempt
Correct Answer
B. (2xy+2yz+2zx)
Step 1
Concept
The extra mixed terms in the square of three terms are (2xy+2yz+2zx). Exam tip: write all three mixed terms.
Step 2
Why this answer is correct
The correct answer is B. (2xy+2yz+2zx). The extra mixed terms in the square of three terms are (2xy+2yz+2zx). Exam tip: write all three mixed terms.
Step 3
Exam Tip
तीन पदों के वर्ग में अतिरिक्त मिश्र पद (2xy+2yz+2zx) होते हैं। परीक्षा में सभी तीन मिश्र पद लिखें।
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( (2a+b+c)2 ) में (2bc) के अलावा कौन से मिश्र पद आते हैं?
In ( (2a+b+c)2 ), which mixed terms come besides (2bc)?
#three term square
#mixed terms
#coefficients
A (4ab) और (4ac) / (4ab) and (4ac)
B (2ab) और (2ac) / (2ab) and (2ac)
C \(2a^2\) और \(c^2\) / \(2a^2\) and \(c^2\)
D (abc) और (2a) / (abc) and (2a)
Explanation opens after your attempt
Correct Answer
A. (4ab) और (4ac) / (4ab) and (4ac)
Step 1
Concept
The mixed terms are (2(2a)(b)=4ab) and (2(2a)(c)=4ac). Exam tip: form mixed terms with coefficients.
Step 2
Why this answer is correct
The correct answer is A. (4ab) और (4ac) / (4ab) and (4ac). The mixed terms are (2(2a)(b)=4ab) and (2(2a)(c)=4ac). Exam tip: form mixed terms with coefficients.
Step 3
Exam Tip
मिश्र पद (2(2a)(b)=4ab) और (2(2a)(c)=4ac) होते हैं। परीक्षा में गुणांक सहित मिश्र पद बनाएँ।
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( (a+b+c)2 -\(a^2+b^2+c^2\) ) का मान क्या है?
What is the value of ( (a+b+c)2 -\(a^2+b^2+c^2\) )?
#three term identity
#mixed terms
#simplification
A (ab+bc+ca)
B (2ab+2bc+2ca)
C (abc)
D \(a^2+b^2+c^2\)
Explanation opens after your attempt
Correct Answer
B. (2ab+2bc+2ca)
Step 1
Concept
In the square of three terms, the extra mixed terms are (2ab+2bc+2ca). Exam tip: remember all three pairs.
Step 2
Why this answer is correct
The correct answer is B. (2ab+2bc+2ca). In the square of three terms, the extra mixed terms are (2ab+2bc+2ca). Exam tip: remember all three pairs.
Step 3
Exam Tip
तीन पदों के वर्ग में अतिरिक्त मिश्र पद (2ab+2bc+2ca) होते हैं। परीक्षा में सभी तीन जोड़े याद रखें।
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( (a+3b+c)2 ) में (6ab) किससे आता है?
In ( (a+3b+c)2 ), where does (6ab) come from?
#three term square
#mixed terms
#algebraic identities
A \(a^2\) से / From \(a^2\)
B \(2\times a\times3b\) से / From \(2\times a\times3b\)
C \(2\times3b\times c\) से / From \(2\times3b\times c\)
D ((3b)2 ) से / From ((3b)2 )
Explanation opens after your attempt
Correct Answer
B. \(2\times a\times3b\) से / From \(2\times a\times3b\)
Step 1
Concept
In the square of three terms, twice the product of each pair appears. Exam tip: identify the pair for mixed terms.
Step 2
Why this answer is correct
The correct answer is B. \(2\times a\times3b\) से / From \(2\times a\times3b\). In the square of three terms, twice the product of each pair appears. Exam tip: identify the pair for mixed terms.
Step 3
Exam Tip
तीन पदों के वर्ग में हर जोड़े का दुगुना गुणन आता है। परीक्षा में मिश्र पदों की जोड़ी पहचानें।
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( (x+y+z)2 ) में (2xy) के साथ कौन से और मिश्र पद आते हैं?
In ( (x+y+z)2 ), which other mixed terms come with (2xy)?
#three term identity
#mixed terms
#algebra
A (2xz) और (2yz) / (2xz) and (2yz)
B \(x^2\) और \(y^2\) / \(x^2\) and \(y^2\)
C \(z^2\) और (xy) / \(z^2\) and (xy)
D (xyz) और (x+y) / (xyz) and (x+y)
Explanation opens after your attempt
Correct Answer
A. (2xz) और (2yz) / (2xz) and (2yz)
Step 1
Concept
In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.
Step 2
Why this answer is correct
The correct answer is A. (2xz) और (2yz) / (2xz) and (2yz). In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.
Step 3
Exam Tip
तीन पदों के वर्ग में मिश्र पद (2xy), (2yz), और (2zx) होते हैं। परीक्षा में सभी जोड़ों को शामिल करें।
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\(2x^2+3xy-4x^2+5xy\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(2x^2+3xy-4x^2+5xy\)?
#algebraic-expressions
#like-terms
#mixed-terms
A \(-2x^2+8xy\)
B \(6x^2+8xy\)
C \(-2x^2-2xy\)
D \(8x^2+8xy\)
Explanation opens after your attempt
Correct Answer
A. \(-2x^2+8xy\)
Step 1
Concept
\(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.
Step 2
Why this answer is correct
The correct answer is A. \(-2x^2+8xy\). \(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.
Step 3
Exam Tip
\(2x^2-4x^2=-2x^2\) और (3xy+5xy=8xy)। समान चर भाग वाले पदों को मिलाएँ।
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