Class 9 three term square MCQ Questions

Question 1/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

यदि (a+b+c=9) और (ab+bc+ca=20) है तो \(a^2+b^2+c^2\) कितना होगा?

If (a+b+c=9) and (ab+bc+ca=20), what is \(a^2+b^2+c^2\)?

Explanation opens after your attempt

Correct Answer

A. (41)

Step 1

Concept

(a^-2+b^-2+c^-2=(a+b+c)²-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.

Step 2

Why this answer is correct

The correct answer is A. (41). (a^-2+b^-2+c^-2=(a+b+c)²-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.

Step 3

Exam Tip

(a^-2+b^-2+c^-2=(a+b+c)²-2(ab+bc+ca)=81-40=41)। परीक्षा में तीन पदों की वर्ग पहचान सीधे लगाएँ।

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Question 2/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (2x+3y+4)² ) में (xy), (x) और (y) वाले पदों का योग क्या है?

What is the sum of the terms containing (xy), (x), and (y) in ( (2x+3y+4)² )?

Explanation opens after your attempt

Correct Answer

A. (12xy+16x+24y)सही योग

Step 1

Concept

The pair terms are \(2\cdot2x\cdot3y=12xy\), \(2\cdot2x\cdot4=16x\), and \(2\cdot3y\cdot4=24y\).

Step 2

Why this answer is correct

The correct answer is A. (12xy+16x+24y) / सही योग. The pair terms are \(2\cdot2x\cdot3y=12xy\), \(2\cdot2x\cdot4=16x\), and \(2\cdot3y\cdot4=24y\).

Step 3

Exam Tip

जोड़ी पद \(2\cdot2x\cdot3y=12xy\), \(2\cdot2x\cdot4=16x\), और \(2\cdot3y\cdot4=24y\) हैं।

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Question 3/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (3a+b+c)²-\(9a^2+b^2+c^2\) ) को सरल करने पर क्या मिलेगा?

What is obtained by simplifying ( (3a+b+c)²-\(9a^2+b^2+c^2\) )?

Explanation opens after your attempt

Correct Answer

B. (6ab+6ac+2bc)सही रूप

Step 1

Concept

The pair terms in the square are (6ab), (6ac), and (2bc). Exam tip: take the double product of every pair.

Step 2

Why this answer is correct

The correct answer is B. (6ab+6ac+2bc) / सही रूप. The pair terms in the square are (6ab), (6ac), and (2bc). Exam tip: take the double product of every pair.

Step 3

Exam Tip

तीन पदों के वर्ग में जोड़ी पद (6ab), (6ac), और (2bc) आते हैं। परीक्षा में हर जोड़ी का दोहरा गुणन करें।

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Question 4/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (3p+2q+r)² ) में (pq), (pr) और (qr) वाले पदों का योग क्या होगा?

What is the sum of the terms containing (pq), (pr), and (qr) in ( (3p+2q+r)² )?

Explanation opens after your attempt

Correct Answer

B. (12pq+6pr+4qr)सही योग

Step 1

Concept

A three-term square has double products of every pair. Here the (pq), (pr), and (qr) terms are (12pq), (6pr), and (4qr).

Step 2

Why this answer is correct

The correct answer is B. (12pq+6pr+4qr) / सही योग. A three-term square has double products of every pair. Here the (pq), (pr), and (qr) terms are (12pq), (6pr), and (4qr).

Step 3

Exam Tip

तीन पदों के वर्ग में हर जोड़ी का दोहरा गुणन आता है। यहाँ (pq), (pr), (qr) पद क्रमशः (12pq), (6pr), (4qr) हैं।

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Question 5/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (2x-3y+z)² ) में (xz) वाला पद क्या है?

What is the term containing (xz) in ( (2x-3y+z)² )?

Explanation opens after your attempt

Correct Answer

B. (4xz)

Step 1

Concept

\(2\times2x\times z=4xz\). Exam tip: find the mixed term for the required pair only.

Step 2

Why this answer is correct

The correct answer is B. (4xz). \(2\times2x\times z=4xz\). Exam tip: find the mixed term for the required pair only.

Step 3

Exam Tip

\(2\times2x\times z=4xz\) मिलता है। परीक्षा में जिस जोड़ी की बात हो वही मिश्र पद निकालें।

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Question 6/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (a+2b-c)² ) में (bc) वाला पद कौन सा होगा?

Which term containing (bc) appears in ( (a+2b-c)² )?

Explanation opens after your attempt

Correct Answer

C. (-4bc)

Step 1

Concept

\(2\times2b\times(-c)=-4bc\). Exam tip: handle signs carefully in squares of three terms.

Step 2

Why this answer is correct

The correct answer is C. (-4bc). \(2\times2b\times(-c)=-4bc\). Exam tip: handle signs carefully in squares of three terms.

Step 3

Exam Tip

\(2\times2b\times(-c)=-4bc\) है। परीक्षा में तीन पदों के वर्ग में चिन्हों को ध्यान से रखें।

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Question 7/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (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 )?

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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Question 8/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

यदि (x+y+z=6) और (xy+yz+zx=11) है तो \(x^2+y^2+z^2\) कितना है?

If (x+y+z=6) and (xy+yz+zx=11), what is \(x^2+y^2+z^2\)?

Explanation opens after your attempt

Correct Answer

A. (14)

Step 1

Concept

(x^-2+y^-2+z^-2=(x+y+z)²-2(xy+yz+zx)=36-22=14). Exam tip: use the three-term identity.

Step 2

Why this answer is correct

The correct answer is A. (14). (x^-2+y^-2+z^-2=(x+y+z)²-2(xy+yz+zx)=36-22=14). Exam tip: use the three-term identity.

Step 3

Exam Tip

(x^-2+y^-2+z^-2=(x+y+z)²-2(xy+yz+zx)=36-22=14)। परीक्षा में तीन पदों की पहचान उपयोग करें।

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Question 9/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (2a-b+4c)² ) में (ab) वाला पद क्या है?

What is the term containing (ab) in ( (2a-b+4c)² )?

Explanation opens after your attempt

Correct Answer

C. (-4ab)

Step 1

Concept

\(2\times2a\times(-b)=-4ab\). Exam tip: keep the negative sign with the term.

Step 2

Why this answer is correct

The correct answer is C. (-4ab). \(2\times2a\times(-b)=-4ab\). Exam tip: keep the negative sign with the term.

Step 3

Exam Tip

\(2\times2a\times(-b)=-4ab\) है। परीक्षा में ऋण चिन्ह को पद के साथ रखें।

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Question 10/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (x+2y+3z)² ) में (yz) वाला पद कौन सा होगा?

Which term containing (yz) appears in ( (x+2y+3z)² )?

Explanation opens after your attempt

Correct Answer

B. (12yz)

Step 1

Concept

\(2\times2y\times3z=12yz\). Exam tip: in the square of three terms, take twice the product of every pair.

Step 2

Why this answer is correct

The correct answer is B. (12yz). \(2\times2y\times3z=12yz\). Exam tip: in the square of three terms, take twice the product of every pair.

Step 3

Exam Tip

\(2\times2y\times3z=12yz\) होता है। परीक्षा में तीन पदों के वर्ग में हर जोड़े का दुगुना गुणन लें।

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Question 11/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( (3x-2y+z)² ) में (xy) और (yz) पदों का योग क्या है?

What is the sum of the (xy)-term and (yz)-term in ( (3x-2y+z)² )?

Explanation opens after your attempt

Correct Answer

A. ( -12xy-4yz )

Step 1

Concept

The (xy)-term is (2\cdot3x\cdot(-2y)=-12xy) and the (yz)-term is (2\cdot(-2y)\cdot z=-4yz). Their sum is (-12xy-4yz).

Step 2

Why this answer is correct

The correct answer is A. ( -12xy-4yz ). The (xy)-term is (2\cdot3x\cdot(-2y)=-12xy) and the (yz)-term is (2\cdot(-2y)\cdot z=-4yz). Their sum is (-12xy-4yz).

Step 3

Exam Tip

(xy) पद (2\cdot3x\cdot(-2y)=-12xy) और (yz) पद (2\cdot(-2y)\cdot z=-4yz) है। दोनों का योग (-12xy-4yz) है।

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Question 12/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( (x+2y+z)²-\(x^2+4y^2+z^2\) ) का सरल रूप क्या है?

What is the simplified form of ( (x+2y+z)²-\(x^2+4y^2+z^2\) )?

Explanation opens after your attempt

Correct Answer

A. (4xy+2xz+4yz)

Step 1

Concept

After subtracting square terms, only twice the pair products remain. They are (4xy), (2xz), and (4yz).

Step 2

Why this answer is correct

The correct answer is A. (4xy+2xz+4yz). After subtracting square terms, only twice the pair products remain. They are (4xy), (2xz), and (4yz).

Step 3

Exam Tip

वर्ग पद घटाने पर केवल जोड़ीदार दोगुने पद बचते हैं। ये (4xy), (2xz) और (4yz) हैं।

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Question 13/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( (a+b+c)²-\(a^2+b^2+c^2+2ab\) ) का सरल रूप क्या है?

What is the simplified form of ( (a+b+c)²-\(a^2+b^2+c^2+2ab\) )?

Explanation opens after your attempt

Correct Answer

A. (2bc+2ca)

Step 1

Concept

In the three-term square, (2ab+2bc+2ca) appear. After subtracting the given (2ab), (2bc+2ca) remains.

Step 2

Why this answer is correct

The correct answer is A. (2bc+2ca). In the three-term square, (2ab+2bc+2ca) appear. After subtracting the given (2ab), (2bc+2ca) remains.

Step 3

Exam Tip

तीन पदों के वर्ग में (2ab+2bc+2ca) आते हैं। दिए गए (2ab) को घटाने पर (2bc+2ca) बचता है।

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Question 14/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( (3a-2b+c)² ) में (bc) वाला पद कौन सा है?

Which is the (bc)-term in ( (3a-2b+c)² )?

Explanation opens after your attempt

Correct Answer

C. (-2bc)

Step 1

Concept

Twice the product of (-2b) and (c) is (2\cdot(-2b)\cdot c=-4bc). Match both sign and coefficient carefully.

Step 2

Why this answer is correct

The correct answer is C. (-2bc). Twice the product of (-2b) and (c) is (2\cdot(-2b)\cdot c=-4bc). Match both sign and coefficient carefully.

Step 3

Exam Tip

(-2b) और (c) का दोगुना गुणनफल (-4bc) नहीं बल्कि (2\cdot(-2b)\cdot c=-4bc) है। सही विकल्प में चिन्ह और गुणांक मिलाएँ।

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Question 15/50 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( (2x+3y+4z)² ) में (xz) वाला पद क्या होगा?

What will be the (xz)-term in ( (2x+3y+4z)² )?

Explanation opens after your attempt

Correct Answer

A. (16xz)

Step 1

Concept

Twice the product of (2x) and (4z) is (16xz). Exam tip: check twice the product of each pair.

Step 2

Why this answer is correct

The correct answer is A. (16xz). Twice the product of (2x) and (4z) is (16xz). Exam tip: check twice the product of each pair.

Step 3

Exam Tip

(2x) और (4z) का दोगुना गुणनफल (16xz) है। परीक्षा में हर जोड़ी का दोगुना पद देखें।

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Question 16/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (2x+3y+z)² ) में (xy), (yz) और (xz) वाले पदों का योग क्या है?

What is the sum of the terms containing (xy), (yz), and (xz) in ( (2x+3y+z)² )?

Explanation opens after your attempt

Correct Answer

C. (12xy+6yz+4xz)सही रूप

Step 1

Concept

The (xy) term is (12xy), the (yz) term is (6yz), and the (xz) term is (4xz). Exam tip: find each double product separately.

Step 2

Why this answer is correct

The correct answer is C. (12xy+6yz+4xz) / सही रूप. The (xy) term is (12xy), the (yz) term is (6yz), and the (xz) term is (4xz). Exam tip: find each double product separately.

Step 3

Exam Tip

(xy) पद (12xy), (yz) पद (6yz), और (xz) पद (4xz) है। परीक्षा में हर जोड़ी का दोहरा गुणन अलग निकालें।

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Question 17/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (x+2y+5z)² ) में (yz) वाला पद कौन-सा होगा?

Which term contains (yz) in ( (x+2y+5z)² )?

Explanation opens after your attempt

Correct Answer

C. (20yz)सही दोहरा गुणन

Step 1

Concept

The (yz) term is \(2\cdot2y\cdot5z=20yz\). Exam tip: do not forget the factor (2) in double products.

Step 2

Why this answer is correct

The correct answer is C. (20yz) / सही दोहरा गुणन. The (yz) term is \(2\cdot2y\cdot5z=20yz\). Exam tip: do not forget the factor (2) in double products.

Step 3

Exam Tip

(yz) पद \(2\cdot2y\cdot5z=20yz\) है। परीक्षा में दोहरे गुणन में (2) लगाना न भूलें।

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Question 18/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (2a+b+c)²-\(4a^2+b^2+c^2\) ) का सरल रूप कौन-सा है?

Which is the simplified form of ( (2a+b+c)²-\(4a^2+b^2+c^2\) )?

Explanation opens after your attempt

Correct Answer

B. (4ab+2bc+4ac)सही रूप

Step 1

Concept

The pair terms in the square are (4ab), (2bc), and (4ac). Exam tip: take the double product of each pair.

Step 2

Why this answer is correct

The correct answer is B. (4ab+2bc+4ac) / सही रूप. The pair terms in the square are (4ab), (2bc), and (4ac). Exam tip: take the double product of each pair.

Step 3

Exam Tip

तीन पदों के वर्ग में जोड़ी पद (4ab), (2bc), और (4ac) आते हैं। परीक्षा में हर जोड़ी का दोहरा गुणन करें।

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Question 19/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (2p+q+r)² ) में (pq) और (pr) वाले पदों का योग क्या होगा?

In ( (2p+q+r)² ), what is the sum of the terms containing (pq) and (pr)?

Explanation opens after your attempt

Correct Answer

B. (4pq+4pr)सही योग

Step 1

Concept

The (pq) term is \(2\cdot2p\cdot q=4pq\) and the (pr) term is (4pr). Exam tip: use double product for every pair.

Step 2

Why this answer is correct

The correct answer is B. (4pq+4pr) / सही योग. The (pq) term is \(2\cdot2p\cdot q=4pq\) and the (pr) term is (4pr). Exam tip: use double product for every pair.

Step 3

Exam Tip

(pq) पद \(2\cdot2p\cdot q=4pq\) और (pr) पद (4pr) है। परीक्षा में हर जोड़ी का दोहरा गुणन करें।

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Question 20/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (a+b+c)² ) में यदि (a+b+c=10) हो तो पूरा मान कितना होगा?

If (a+b+c=10), what is the complete value of ( (a+b+c)² )?

Explanation opens after your attempt

Correct Answer

C. (100)

Step 1

Concept

If the whole sum is (10), its square is (100). Exam tip: directly square the given sum.

Step 2

Why this answer is correct

The correct answer is C. (100). If the whole sum is (10), its square is (100). Exam tip: directly square the given sum.

Step 3

Exam Tip

यदि पूरा योग (10) है तो उसका वर्ग (100) होगा। परीक्षा में दिए गए योग का सीधे वर्ग लें।

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Question 21/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (a+b+c)² ) में यदि केवल \(a^2+b^2+c^2\) लिखा गया हो तो कौन से पद छूट गए?

If only \(a^2+b^2+c^2\) is written for ( (a+b+c)² ), which terms are missing?

Explanation opens after your attempt

Correct Answer

B. (2ab+2bc+2ca)

Step 1

Concept

The square of three terms also includes twice the pair products. Exam tip: always write (2ab+2bc+2ca).

Step 2

Why this answer is correct

The correct answer is B. (2ab+2bc+2ca). The square of three terms also includes twice the pair products. Exam tip: always write (2ab+2bc+2ca).

Step 3

Exam Tip

तीन पदों के वर्ग में जोड़ीदार दोगुने पद भी आते हैं। परीक्षा में (2ab+2bc+2ca) अवश्य लिखें।

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Question 22/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (x+y+z)² ) में यदि (x=1), (y=2), (z=3) हों तो पहचान से मान क्या है?

Using identity, what is the value of ( (x+y+z)² ) if (x=1), (y=2), (z=3)?

Explanation opens after your attempt

Correct Answer

B. (36)

Step 1

Concept

The sum is (1+2+3=6), and its square is (36). The identity with squares and pair terms gives the same value.

Step 2

Why this answer is correct

The correct answer is B. (36). The sum is (1+2+3=6), and its square is (36). The identity with squares and pair terms gives the same value.

Step 3

Exam Tip

योग (1+2+3=6) है और वर्ग (36) होगा। पहचान में वर्ग और जोड़ीदार पद भी यही मान देते हैं।

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Question 23/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (2a+3b+4c)² ) में (bc) वाला पद क्या होगा?

What will be the (bc)-term in ( (2a+3b+4c)² )?

Explanation opens after your attempt

Correct Answer

B. (24bc)

Step 1

Concept

From (3b) and (4c), \(2\cdot3b\cdot4c=24bc\). Exam tip: take twice every pair product.

Step 2

Why this answer is correct

The correct answer is B. (24bc). From (3b) and (4c), \(2\cdot3b\cdot4c=24bc\). Exam tip: take twice every pair product.

Step 3

Exam Tip

(3b) और (4c) से \(2\cdot3b\cdot4c=24bc\) मिलता है। परीक्षा में हर जोड़े का दोगुना लें।

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Question 24/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (2p-3q+r)² ) में (pq) वाला पद कौन सा है?

Which is the (pq)-term in ( (2p-3q+r)² )?

Explanation opens after your attempt

Correct Answer

C. (-12pq)

Step 1

Concept

Twice the product of (2p) and (-3q) is (-12pq). Exam tip: check both sign and coefficient.

Step 2

Why this answer is correct

The correct answer is C. (-12pq). Twice the product of (2p) and (-3q) is (-12pq). Exam tip: check both sign and coefficient.

Step 3

Exam Tip

(2p) और (-3q) का दोगुना गुणनफल (-12pq) है। परीक्षा में चिन्ह के साथ गुणांक भी देखें।

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Question 25/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (x+2y+3z)² ) में (xz) वाला पद और (yz) वाला पद मिलकर क्या बनाते हैं?

In ( (x+2y+3z)² ), what do the (xz) term and the (yz) term together form?

Explanation opens after your attempt

Correct Answer

A. (6xz+12yz)सही योग

Step 1

Concept

The (xz) term is \(2\cdot x\cdot3z=6xz\) and the (yz) term is \(2\cdot2y\cdot3z=12yz\). Exam tip: find each pair separately.

Step 2

Why this answer is correct

The correct answer is A. (6xz+12yz) / सही योग. The (xz) term is \(2\cdot x\cdot3z=6xz\) and the (yz) term is \(2\cdot2y\cdot3z=12yz\). Exam tip: find each pair separately.

Step 3

Exam Tip

(xz) पद \(2\cdot x\cdot3z=6xz\) और (yz) पद \(2\cdot2y\cdot3z=12yz\) है। परीक्षा में हर जोड़ी अलग निकालें।

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Question 26/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (2x+3y+4z)² ) में (yz) वाला पद कौन-सा होगा?

Which term contains (yz) in ( (2x+3y+4z)² )?

Explanation opens after your attempt

Correct Answer

C. (24yz)सही दोहरा गुणन

Step 1

Concept

The (yz) term is \(2\cdot3y\cdot4z=24yz\). Exam tip: do not forget the factor (2) in double products.

Step 2

Why this answer is correct

The correct answer is C. (24yz) / सही दोहरा गुणन. The (yz) term is \(2\cdot3y\cdot4z=24yz\). Exam tip: do not forget the factor (2) in double products.

Step 3

Exam Tip

(yz) पद \(2\cdot3y\cdot4z=24yz\) है। परीक्षा में दोहरे गुणन में (2) लगाना न भूलें।

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Question 27/50 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (a+2b+c)² ) में (bc) और (ac) वाले पदों का योग क्या होगा?

In ( (a+2b+c)² ), what is the sum of the terms containing (bc) and (ac)?

Explanation opens after your attempt

Correct Answer

B. (4bc+2ac)सही योग

Step 1

Concept

The (bc) term is \(2\cdot2b\cdot c=4bc\) and the (ac) term is (2ac). Exam tip: use double product for each pair.

Step 2

Why this answer is correct

The correct answer is B. (4bc+2ac) / सही योग. The (bc) term is \(2\cdot2b\cdot c=4bc\) and the (ac) term is (2ac). Exam tip: use double product for each pair.

Step 3

Exam Tip

(bc) पद \(2\cdot2b\cdot c=4bc\) और (ac) पद (2ac) है। परीक्षा में हर जोड़ी का दोहरा गुणन करें।

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Question 28/50 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (a-b+c)² ) में (ab) वाला पद कौन सा होगा?

Which term containing (ab) appears in ( (a-b+c)² )?

Explanation opens after your attempt

Correct Answer

B. (-2ab)

Step 1

Concept

The mixed term of (a) and (-b) is \(2\times a\times(-b)=-2ab\). Exam tip: keep the negative sign with the term.

Step 2

Why this answer is correct

The correct answer is B. (-2ab). The mixed term of (a) and (-b) is \(2\times a\times(-b)=-2ab\). Exam tip: keep the negative sign with the term.

Step 3

Exam Tip

(a) और (-b) का मिश्र पद \(2\times a\times(-b)=-2ab\) है। परीक्षा में ऋण चिन्ह को पद के साथ रखें।

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Question 29/50 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (x+2y+3z)² ) में (12yz) किस जोड़ी से आता है?

In ( (x+2y+3z)² ), from which pair does (12yz) come?

Explanation opens after your attempt

Correct Answer

C. (2y) और (3z)(2y) and (3z)

Step 1

Concept

\(2\times2y\times3z=12yz\). Exam tip: find the pair for each mixed term.

Step 2

Why this answer is correct

The correct answer is C. (2y) और (3z) / (2y) and (3z). \(2\times2y\times3z=12yz\). Exam tip: find the pair for each mixed term.

Step 3

Exam Tip

\(2\times2y\times3z=12yz\) होता है। परीक्षा में हर मिश्र पद की जोड़ी खोजें।

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Question 30/50 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (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)?

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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three term square MCQ Questions for Class 9

Practice Questions

यदि (a+b+c=9) और (ab+bc+ca=20) है तो \(a^2+b^2+c^2\) कितना होगा?

Concept

Why this answer is correct

Exam Tip

( (2x+3y+4)2 ) में (xy), (x) और (y) वाले पदों का योग क्या है?

Concept

Why this answer is correct

Exam Tip

( (3a+b+c)2-\(9a^2+b^2+c^2\) ) को सरल करने पर क्या मिलेगा?

Concept

Why this answer is correct

Exam Tip

( (3p+2q+r)2 ) में (pq), (pr) और (qr) वाले पदों का योग क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (2x-3y+z)2 ) में (xz) वाला पद क्या है?

Concept

Why this answer is correct

Exam Tip

( (a+2b-c)2 ) में (bc) वाला पद कौन सा होगा?

Concept

Why this answer is correct

Exam Tip

( (x+y+z)2 ) में \(x^2+y^2+z^2\) हटाने पर क्या बचेगा?

Concept

Why this answer is correct

Exam Tip

यदि (x+y+z=6) और (xy+yz+zx=11) है तो \(x^2+y^2+z^2\) कितना है?

Concept

Why this answer is correct

Exam Tip

( (2a-b+4c)2 ) में (ab) वाला पद क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+2y+3z)2 ) में (yz) वाला पद कौन सा होगा?

Concept

Why this answer is correct

Exam Tip

( (3x-2y+z)2 ) में (xy) और (yz) पदों का योग क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+2y+z)2-\(x^2+4y^2+z^2\) ) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

( (a+b+c)2-\(a^2+b^2+c^2+2ab\) ) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

( (3a-2b+c)2 ) में (bc) वाला पद कौन सा है?

Concept

Why this answer is correct

Exam Tip

( (2x+3y+4z)2 ) में (xz) वाला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (2x+3y+z)2 ) में (xy), (yz) और (xz) वाले पदों का योग क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+2y+5z)2 ) में (yz) वाला पद कौन-सा होगा?

Concept

Why this answer is correct

Exam Tip

( (2a+b+c)2-\(4a^2+b^2+c^2\) ) का सरल रूप कौन-सा है?

Concept

Why this answer is correct

Exam Tip

( (2p+q+r)2 ) में (pq) और (pr) वाले पदों का योग क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (a+b+c)2 ) में यदि (a+b+c=10) हो तो पूरा मान कितना होगा?

Concept

( (2x+3y+4)² ) में (xy), (x) और (y) वाले पदों का योग क्या है?

( (3a+b+c)²-\(9a^2+b^2+c^2\) ) को सरल करने पर क्या मिलेगा?

( (3p+2q+r)² ) में (pq), (pr) और (qr) वाले पदों का योग क्या होगा?

( (2x-3y+z)² ) में (xz) वाला पद क्या है?

( (a+2b-c)² ) में (bc) वाला पद कौन सा होगा?

( (x+y+z)² ) में \(x^2+y^2+z^2\) हटाने पर क्या बचेगा?

( (2a-b+4c)² ) में (ab) वाला पद क्या है?

( (x+2y+3z)² ) में (yz) वाला पद कौन सा होगा?

( (3x-2y+z)² ) में (xy) और (yz) पदों का योग क्या है?

( (x+2y+z)²-\(x^2+4y^2+z^2\) ) का सरल रूप क्या है?

( (a+b+c)²-\(a^2+b^2+c^2+2ab\) ) का सरल रूप क्या है?

( (3a-2b+c)² ) में (bc) वाला पद कौन सा है?

( (2x+3y+4z)² ) में (xz) वाला पद क्या होगा?

( (2x+3y+z)² ) में (xy), (yz) और (xz) वाले पदों का योग क्या है?

( (x+2y+5z)² ) में (yz) वाला पद कौन-सा होगा?

( (2a+b+c)²-\(4a^2+b^2+c^2\) ) का सरल रूप कौन-सा है?

( (2p+q+r)² ) में (pq) और (pr) वाले पदों का योग क्या होगा?

( (a+b+c)² ) में यदि (a+b+c=10) हो तो पूरा मान कितना होगा?

( (a+b+c)² ) में यदि केवल \(a^2+b^2+c^2\) लिखा गया हो तो कौन से पद छूट गए?

( (x+y+z)² ) में यदि (x=1), (y=2), (z=3) हों तो पहचान से मान क्या है?

( (2a+3b+4c)² ) में (bc) वाला पद क्या होगा?

( (2p-3q+r)² ) में (pq) वाला पद कौन सा है?

( (x+2y+3z)² ) में (xz) वाला पद और (yz) वाला पद मिलकर क्या बनाते हैं?

( (2x+3y+4z)² ) में (yz) वाला पद कौन-सा होगा?

( (a+2b+c)² ) में (bc) और (ac) वाले पदों का योग क्या होगा?

( (a-b+c)² ) में (ab) वाला पद कौन सा होगा?

( (x+2y+3z)² ) में (12yz) किस जोड़ी से आता है?

( (2a+b+c)² ) में (2bc) के अलावा कौन से मिश्र पद आते हैं?