भुजा (a+3b) वाले वर्ग में \(b^2\) वाले छोटे वर्ग का क्षेत्रफल कौन सा होगा?
In a square of side (a+3b), what will be the area of the small square containing \(b^2\)?
#coefficient square
#small square
#visual model
A \(3b^2\)
B (6ab)
C \(9b^2\)
D \(a^2\)
Explanation opens after your attempt
Correct Answer
C. \(9b^2\)
Step 1
Concept
The small part has side (3b), so its area is \(9b^2\). Exam tip: square the coefficient too.
Step 2
Why this answer is correct
The correct answer is C. \(9b^2\). The small part has side (3b), so its area is \(9b^2\). Exam tip: square the coefficient too.
Step 3
Exam Tip
छोटे भाग की भुजा (3b) है इसलिए क्षेत्रफल \(9b^2\) है। परीक्षा में गुणांक का भी वर्ग करें।
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(a+2b) भुजा वाले वर्ग में छोटे वर्ग का क्षेत्रफल क्या होगा?
In a square of side (a+2b), what is the area of the small square?
#small-square
#coefficient
#visual-model
A \(2b^2\)
B \(4b^2\)
C (2ab)
D \(a^2\)
Explanation opens after your attempt
Correct Answer
B. \(4b^2\)
Step 1
Concept
The small square has side (2b), so its area is \(4b^2\). In exams, square the whole (2b).
Step 2
Why this answer is correct
The correct answer is B. \(4b^2\). The small square has side (2b), so its area is \(4b^2\). In exams, square the whole (2b).
Step 3
Exam Tip
छोटे वर्ग की भुजा (2b) है इसलिए क्षेत्रफल \(4b^2\) है। परीक्षा में (2b) को पूरा वर्ग करें।
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भुजा (x+7) वाले वर्ग में छोटे वर्ग का क्षेत्र और दो आयतों का कुल क्षेत्र कौन सा है?
In a square with side (x+7), what are the small square area and total area of the two rectangles?
#small-square
#middle-area
#binomial-square
A (7) और (14x) / (7) and (14x)
B (49) और (7x) / (49) and (7x)
C (49) और (14x) / (49) and (14x)
D (14) और (49x) / (14) and (49x)
Explanation opens after your attempt
Correct Answer
C. (49) और (14x) / (49) and (14x)
Step 1
Concept
The small square is \(7^2=49\), and the two rectangles total \(2\times7x=14x\). Exam tip: use the constant part in both square and rectangles.
Step 2
Why this answer is correct
The correct answer is C. (49) और (14x) / (49) and (14x). The small square is \(7^2=49\), and the two rectangles total \(2\times7x=14x\). Exam tip: use the constant part in both square and rectangles.
Step 3
Exam Tip
छोटा वर्ग \(7^2=49\) और दो आयतों का कुल \(2\times7x=14x\) है। परीक्षा में स्थिर भाग को वर्ग और आयत दोनों में उपयोग करें।
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भुजा (3x+2) वाले वर्ग में छोटे वर्ग का क्षेत्र क्या होगा?
In a square with side (3x+2), what will be the area of the small square?
#small-square
#coefficient-model
#visual-identity
A (2)
B (4)
C (6x)
D \(9x^2\)
Explanation opens after your attempt
Step 1
Concept
The small square has side (2), so its area is \(2^2=4\). Exam tip: square the constant part.
Step 2
Why this answer is correct
The correct answer is B. (4). The small square has side (2), so its area is \(2^2=4\). Exam tip: square the constant part.
Step 3
Exam Tip
छोटे वर्ग की भुजा (2) है इसलिए क्षेत्र \(2^2=4\) होगा। परीक्षा में स्थिर भाग का वर्ग करें।
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भुजा (x-5) वाले वर्ग के मॉडल में अंतिम छोटा वर्ग किस क्षेत्र का होगा?
In the model of a square with side (x-5), what will be the area of the final small square?
#small-square
#minus-square
#visual-identity
A (5x)
B (10x)
C (25)
D \(x^2\)
Explanation opens after your attempt
Step 1
Concept
The small square has side (5), so its area is (25). Exam tip: the square of the negative part is positive.
Step 2
Why this answer is correct
The correct answer is C. (25). The small square has side (5), so its area is (25). Exam tip: the square of the negative part is positive.
Step 3
Exam Tip
छोटे वर्ग की भुजा (5) है इसलिए उसका क्षेत्र (25) है। परीक्षा में ऋणात्मक भाग का वर्ग धनात्मक होता है।
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यदि \(x^2+12x+36\) को पूर्ण वर्ग मॉडल से पढ़ा जाए, तो छोटे वर्ग की भुजा क्या होगी?
If \(x^2+12x+36\) is read through a complete square model, what is the side of the small square?
#complete-square
#small-square
#area-tiles
A (12)
B (36)
C (6)
D (3)
Explanation opens after your attempt
Step 1
Concept
The small square has area (36), so its side is (6). Exam tip: take the square root of the last term.
Step 2
Why this answer is correct
The correct answer is C. (6). The small square has area (36), so its side is (6). Exam tip: take the square root of the last term.
Step 3
Exam Tip
छोटे वर्ग का क्षेत्र (36) है इसलिए उसकी भुजा (6) है। परीक्षा में अंतिम पद की वर्गमूल लें।
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((x+6)2 ) के वर्ग मॉडल में छोटे वर्ग का क्षेत्रफल क्या होगा?
In the square model of ((x+6)2 ), what will be the area of the small square?
#small square
#constant area
#visual identity
A (6x)
B (12x)
C (36)
D \(x^2\)
Explanation opens after your attempt
Step 1
Concept
The side of the small square is (6). Its area will be \(6^2=36\).
Step 2
Why this answer is correct
The correct answer is C. (36). The side of the small square is (6). Its area will be \(6^2=36\).
Step 3
Exam Tip
छोटे वर्ग की भुजा (6) है। उसका क्षेत्रफल \(6^2=36\) होगा।
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भुजा (a+2) वाले वर्ग में छोटे कोने वाले वर्ग का क्षेत्रफल क्या होगा?
In a square with side (a+2), what is the area of the small corner square?
#small square
#area model
#constant term
A (2)
B (2a)
C (4)
D \(a^2\)
Explanation opens after your attempt
Step 1
Concept
The small square has side (2), so its area is \(2^2=4\). Exam tip: connect the constant term with the small square.
Step 2
Why this answer is correct
The correct answer is C. (4). The small square has side (2), so its area is \(2^2=4\). Exam tip: connect the constant term with the small square.
Step 3
Exam Tip
छोटे वर्ग की भुजा (2) है इसलिए क्षेत्रफल \(2^2=4\) होगा। परीक्षा में स्थिर पद को छोटे वर्ग से जोड़ें।
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एक वर्ग मॉडल में \(x^2+14x+49\) क्षेत्रफल दिखता है। इस मॉडल में छोटे वर्ग की भुजा क्या है?
A square model shows area \(x^2+14x+49\). What is the side of the small square in this model?
#perfect square
#visual model
#small square
A (7)
B (14)
C (49)
D (2)
Explanation opens after your attempt
Step 1
Concept
\(49=7^2\) and \(14x=2\cdot7x\). Exam tip: take the square root of the constant term to find the small square side.
Step 2
Why this answer is correct
The correct answer is A. (7). \(49=7^2\) and \(14x=2\cdot7x\). Exam tip: take the square root of the constant term to find the small square side.
Step 3
Exam Tip
\(49=7^2\) और \(14x=2\cdot7x\) है। परीक्षा में स्थिर पद का वर्गमूल लेकर छोटे वर्ग की भुजा पाएं।
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भुजा (2a+b) वाले वर्ग में \(b^2\) भाग किससे बनता है?
In a square of side (2a+b), how is the \(b^2\) part formed?
#small square
#b square
#area model
A (2a) और (b) के आयत से / From a rectangle of (2a) and (b)
B (2a) के वर्ग से / From the square of (2a)
C (b) के वर्ग से / From the square of (b)
D (a) और (b) के योग से / From the sum of (a) and (b)
Explanation opens after your attempt
Correct Answer
C. (b) के वर्ग से / From the square of (b)
Step 1
Concept
\(b^2\) is the area of the small square with side (b). Exam tip: connect a square term with the square of its side.
Step 2
Why this answer is correct
The correct answer is C. (b) के वर्ग से / From the square of (b). \(b^2\) is the area of the small square with side (b). Exam tip: connect a square term with the square of its side.
Step 3
Exam Tip
\(b^2\) भुजा (b) वाले छोटे वर्ग का क्षेत्रफल है। परीक्षा में वर्ग पद को उसी भुजा के वर्ग से जोड़ें।
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\((m+4)^2\) के दृश्य मॉडल में छोटे वर्ग का क्षेत्र क्या होगा?
In the visual model of \((m+4)^2\), what is the area of the small square?
#small square
#area model
#binomial square
A \(m^2\)
B \(16\)
C \(4m\)
D \(8m\)
Explanation opens after your attempt
Step 1
Concept
The small square has side \(4\), so its area is \(4^2=16\). Exam tip: square the constant number.
Step 2
Why this answer is correct
The correct answer is B. \(16\). The small square has side \(4\), so its area is \(4^2=16\). Exam tip: square the constant number.
Step 3
Exam Tip
छोटे वर्ग की भुजा \(4\) है, इसलिए उसका क्षेत्र \(4^2=16\) है। परीक्षा में स्थिर संख्या का वर्ग करें।
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\(49^2\) के दृश्य मॉडल में \((50-1)^2\) लेने पर छोटा वर्ग कौन सा है?
In the visual model of \(49^2\), using \((50-1)^2\), which is the small square?
#near fifty
#minus model
#small square
A \(50^2\)
B \(49^2\)
C \(1^2\)
D \(2 \times 50 \times 1\)
Explanation opens after your attempt
Correct Answer
C. \(1^2\)
Step 1
Concept
In \((50-1)^2\), the small square is \(1^2\). Exam tip: identify the small subtracted part.
Step 2
Why this answer is correct
The correct answer is C. \(1^2\). In \((50-1)^2\), the small square is \(1^2\). Exam tip: identify the small subtracted part.
Step 3
Exam Tip
\((50-1)^2\) में छोटा वर्ग \(1^2\) है। परीक्षा में घटाए गए छोटे भाग को पहचानें।
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दृश्य मॉडल में \(15^2\) को \((10+5)^2\) से निकालने पर छोटे वर्ग का क्षेत्रफल कितना है?
In the visual model of \(15^2\) using \((10+5)^2\), what is the area of the small square?
#numeric model
#small square
#area
A \(10\)
B \(25\)
C \(50\)
D \(100\)
Explanation opens after your attempt
Step 1
Concept
The small square has side \(5\), so its area is \(5^2=25\). Exam tip: identify the small square separately.
Step 2
Why this answer is correct
The correct answer is B. \(25\). The small square has side \(5\), so its area is \(5^2=25\). Exam tip: identify the small square separately.
Step 3
Exam Tip
छोटे वर्ग की भुजा \(5\) है इसलिए क्षेत्रफल \(5^2=25\) होगा। परीक्षा में छोटे वर्ग को अलग पहचानें।
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