How can I practice Algebraic identities MCQs?

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Yes, this topic page is arranged for chapter-wise revision and exam practice.

Class 9 Mathematics Algebraic identities MCQ

Question 1/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

पहचान ( (a+b)² ) का सही विस्तार क्या है?

What is the correct expansion of the identity ( (a+b)² )?

Explanation opens after your attempt

Correct Answer

B. \(a^2+2ab+b^2\)correct expansion

Step 1

Concept

In ( (a+b)² ), the middle term is (2ab). Exam tip: do not forget the middle term in square identities.

Step 2

Why this answer is correct

The correct answer is B. \(a^2+2ab+b^2\) / correct expansion. In ( (a+b)² ), the middle term is (2ab). Exam tip: do not forget the middle term in square identities.

Step 3

Exam Tip

( (a+b)² ) में बीच का पद (2ab) आता है। परीक्षा में वर्ग पहचान में मध्य पद न भूलें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
पहचान ( (a+b)^2 ) का सही विस्तार क्या है?

Question English:
What is the correct expansion of the identity ( (a+b)^2 )?

Options:
A. (a^2+b^2) / only square terms
B. (a^2+2ab+b^2) / correct expansion
C. (a^2-ab+b^2) / middle term negative
D. (2a+2b) / double of terms

Correct Answer:
B. (a^2+2ab+b^2) / correct expansion

Explanation Hindi:
( (a+b)^2 ) में बीच का पद (2ab) आता है। परीक्षा में वर्ग पहचान में मध्य पद न भूलें।

Explanation English:
In ( (a+b)^2 ), the middle term is (2ab). Exam tip: do not forget the middle term in square identities.

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Question 2/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

पहचान ( (x-y)² ) का सही विस्तार चुनिए।

Choose the correct expansion of the identity ( (x-y)² ).

Explanation opens after your attempt

Correct Answer

C. \(x^2-2xy+y^2\)correct expansion

Step 1

Concept

In ( (x-y)² ), the middle term is (-2xy). Exam tip: pay attention to the negative sign.

Step 2

Why this answer is correct

The correct answer is C. \(x^2-2xy+y^2\) / correct expansion. In ( (x-y)² ), the middle term is (-2xy). Exam tip: pay attention to the negative sign.

Step 3

Exam Tip

( (x-y)² ) में बीच का पद (-2xy) होता है। परीक्षा में ऋण चिह्न पर ध्यान दें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
पहचान ( (x-y)^2 ) का सही विस्तार चुनिए।

Question English:
Choose the correct expansion of the identity ( (x-y)^2 ).

Options:
A. (x^2+2xy+y^2) / plus middle term
B. (x^2-y^2) / difference only
C. (x^2-2xy+y^2) / correct expansion
D. (x^2+xy-y^2) / mixed signs

Correct Answer:
C. (x^2-2xy+y^2) / correct expansion

Explanation Hindi:
( (x-y)^2 ) में बीच का पद (-2xy) होता है। परीक्षा में ऋण चिह्न पर ध्यान दें।

Explanation English:
In ( (x-y)^2 ), the middle term is (-2xy). Exam tip: pay attention to the negative sign.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question 3/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

पहचान ( (p+q)(p-q) ) किसके बराबर होती है?

The identity ( (p+q)(p-q) ) is equal to what?

Explanation opens after your attempt

Correct Answer

A. \(p^2-q^2\)difference of squares

Step 1

Concept

( (p+q)(p-q)=p^-2-q^-2 ). Exam tip: remember it as difference of squares.

Step 2

Why this answer is correct

The correct answer is A. \(p^2-q^2\) / difference of squares. ( (p+q)(p-q)=p^-2-q^-2 ). Exam tip: remember it as difference of squares.

Step 3

Exam Tip

( (p+q)(p-q)=p^-2-q^-2 ) होता है। परीक्षा में इसे वर्गों का अंतर याद रखें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
पहचान ( (p+q)(p-q) ) किसके बराबर होती है?

Question English:
The identity ( (p+q)(p-q) ) is equal to what?

Options:
A. (p^2-q^2) / difference of squares
B. (p^2+q^2) / sum of squares
C. (p^2+2pq+q^2) / square of sum
D. (p^2-2pq+q^2) / square of difference

Correct Answer:
A. (p^2-q^2) / difference of squares

Explanation Hindi:
( (p+q)(p-q)=p^2-q^2 ) होता है। परीक्षा में इसे वर्गों का अंतर याद रखें।

Explanation English:
( (p+q)(p-q)=p^2-q^2 ). Exam tip: remember it as difference of squares.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 4/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (m+n)² ) में (2mn) को क्या कहा जा सकता है?

In ( (m+n)² ), what can (2mn) be called?

Explanation opens after your attempt

Correct Answer

D. मध्य पदmiddle term

Step 1

Concept

In ( (m+n)²=m^-2+2mn+n^-2 ), (2mn) is the middle term. Exam tip: identify all three terms.

Step 2

Why this answer is correct

The correct answer is D. मध्य पद / middle term. In ( (m+n)²=m^-2+2mn+n^-2 ), (2mn) is the middle term. Exam tip: identify all three terms.

Step 3

Exam Tip

( (m+n)²=m^-2+2mn+n^-2 ) में (2mn) मध्य पद है। परीक्षा में तीन पदों की पहचान करें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (m+n)^2 ) में (2mn) को क्या कहा जा सकता है?

Question English:
In ( (m+n)^2 ), what can (2mn) be called?

Options:
A. पहला वर्ग / first square
B. दूसरा वर्ग / second square
C. स्थिर पद / constant term
D. मध्य पद / middle term

Correct Answer:
D. मध्य पद / middle term

Explanation Hindi:
( (m+n)^2=m^2+2mn+n^2 ) में (2mn) मध्य पद है। परीक्षा में तीन पदों की पहचान करें।

Explanation English:
In ( (m+n)^2=m^2+2mn+n^2 ), (2mn) is the middle term. Exam tip: identify all three terms.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 5/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (7+3)² ) को पहचान से निकालने पर मान क्या होगा?

Using an identity, what is the value of ( (7+3)² )?

Explanation opens after your attempt

Correct Answer

B. (100)

Step 1

Concept

( (7+3)²=10²=100 ). Exam tip: identities make mental calculation faster.

Step 2

Why this answer is correct

The correct answer is B. (100). ( (7+3)²=10²=100 ). Exam tip: identities make mental calculation faster.

Step 3

Exam Tip

( (7+3)²=10²=100 ) होता है। परीक्षा में पहचान से मानसिक गणना तेज होती है।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (7+3)^2 ) को पहचान से निकालने पर मान क्या होगा?

Question English:
Using an identity, what is the value of ( (7+3)^2 )?

Options:
A. (70)
B. (100)
C. (49)
D. (60)

Correct Answer:
B. (100)

Explanation Hindi:
( (7+3)^2=10^2=100 ) होता है। परीक्षा में पहचान से मानसिक गणना तेज होती है।

Explanation English:
( (7+3)^2=10^2=100 ). Exam tip: identities make mental calculation faster.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 6/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (10-2)² ) का मान कौन-सा है?

What is the value of ( (10-2)² )?

Explanation opens after your attempt

Correct Answer

C. (64)

Step 1

Concept

( (10-2)²=8²=64 ). Exam tip: first find the value inside the bracket.

Step 2

Why this answer is correct

The correct answer is C. (64). ( (10-2)²=8²=64 ). Exam tip: first find the value inside the bracket.

Step 3

Exam Tip

( (10-2)²=8²=64 ) होता है। परीक्षा में पहले कोष्ठक का मान निकालें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (10-2)^2 ) का मान कौन-सा है?

Question English:
What is the value of ( (10-2)^2 )?

Options:
A. (144)
B. (100)
C. (64)
D. (80)

Correct Answer:
C. (64)

Explanation Hindi:
( (10-2)^2=8^2=64 ) होता है। परीक्षा में पहले कोष्ठक का मान निकालें।

Explanation English:
( (10-2)^2=8^2=64 ). Exam tip: first find the value inside the bracket.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

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Question 7/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

\( 15^2-5^2 \) को किस पहचान से सरल किया जा सकता है?

Which identity can simplify \( 15^2-5^2 \)?

Explanation opens after your attempt

Correct Answer

D. (a^-2-b^-2=(a+b)(a-b))

Step 1

Concept

This is the form \(a^2-b^2\). Exam tip: convert difference of squares into a product.

Step 2

Why this answer is correct

The correct answer is D. (a^-2-b^-2=(a+b)(a-b)). This is the form \(a^2-b^2\). Exam tip: convert difference of squares into a product.

Step 3

Exam Tip

यह \(a^2-b^2\) का रूप है। परीक्षा में वर्गों के अंतर को गुणनफल में बदलें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( 15^2-5^2 ) को किस पहचान से सरल किया जा सकता है?

Question English:
Which identity can simplify ( 15^2-5^2 )?

Options:
A. ( (a+b)^2 )
B. ( (a-b)^2 )
C. (a^2+b^2)
D. (a^2-b^2=(a+b)(a-b))

Correct Answer:
D. (a^2-b^2=(a+b)(a-b))

Explanation Hindi:
यह (a^2-b^2) का रूप है। परीक्षा में वर्गों के अंतर को गुणनफल में बदलें।

Explanation English:
This is the form (a^2-b^2). Exam tip: convert difference of squares into a product.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question 8/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (x+4)² ) का विस्तार क्या होगा?

What is the expansion of ( (x+4)² )?

Explanation opens after your attempt

Correct Answer

A. \(x^2+8x+16\)

Step 1

Concept

( (x+4)²=x^-2+2\cdot x\cdot4+16=x^-2+8x+16 ). Exam tip: use (2ab).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+8x+16\). ( (x+4)²=x^-2+2\cdot x\cdot4+16=x^-2+8x+16 ). Exam tip: use (2ab).

Step 3

Exam Tip

( (x+4)²=x^-2+2\cdot x\cdot4+16=x^-2+8x+16 )। परीक्षा में (2ab) लगाएँ।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (x+4)^2 ) का विस्तार क्या होगा?

Question English:
What is the expansion of ( (x+4)^2 )?

Options:
A. (x^2+8x+16)
B. (x^2+4x+16)
C. (x^2+16x+4)
D. (x^2-8x+16)

Correct Answer:
A. (x^2+8x+16)

Explanation Hindi:
( (x+4)^2=x^2+2\cdot x\cdot4+16=x^2+8x+16 )। परीक्षा में (2ab) लगाएँ।

Explanation English:
( (x+4)^2=x^2+2\cdot x\cdot4+16=x^2+8x+16 ). Exam tip: use (2ab).

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Question 9/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (y-5)² ) का सही विस्तार चुनिए।

Choose the correct expansion of ( (y-5)² ).

Explanation opens after your attempt

Correct Answer

B. \(y^2-10y+25\)

Step 1

Concept

( (y-5)²=y^-2-10y+25 ). Exam tip: keep the sign of the middle term correct.

Step 2

Why this answer is correct

The correct answer is B. \(y^2-10y+25\). ( (y-5)²=y^-2-10y+25 ). Exam tip: keep the sign of the middle term correct.

Step 3

Exam Tip

( (y-5)²=y^-2-10y+25 ) होता है। परीक्षा में मध्य पद का चिह्न सही रखें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (y-5)^2 ) का सही विस्तार चुनिए।

Question English:
Choose the correct expansion of ( (y-5)^2 ).

Options:
A. (y^2+10y+25)
B. (y^2-10y+25)
C. (y^2-5y+25)
D. (y^2-25)

Correct Answer:
B. (y^2-10y+25)

Explanation Hindi:
( (y-5)^2=y^2-10y+25 ) होता है। परीक्षा में मध्य पद का चिह्न सही रखें।

Explanation English:
( (y-5)^2=y^2-10y+25 ). Exam tip: keep the sign of the middle term correct.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
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Question 10/603 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (3a+2b)² ) में मध्य पद क्या है?

What is the middle term in ( (3a+2b)² )?

Explanation opens after your attempt

Correct Answer

C. (12ab)

Step 1

Concept

The middle term is \(2\cdot3a\cdot2b=12ab\). Exam tip: multiply both terms and then multiply by (2).

Step 2

Why this answer is correct

The correct answer is C. (12ab). The middle term is \(2\cdot3a\cdot2b=12ab\). Exam tip: multiply both terms and then multiply by (2).

Step 3

Exam Tip

मध्य पद \(2\cdot3a\cdot2b=12ab\) है। परीक्षा में दोनों पदों को गुणा करके (2) से गुणा करें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Easy
Level: 65

Question Hindi:
( (3a+2b)^2 ) में मध्य पद क्या है?

Question English:
What is the middle term in ( (3a+2b)^2 )?

Options:
A. (6ab)
B. (9a^2)
C. (12ab)
D. (4b^2)

Correct Answer:
C. (12ab)

Explanation Hindi:
मध्य पद (2\cdot3a\cdot2b=12ab) है। परीक्षा में दोनों पदों को गुणा करके (2) से गुणा करें।

Explanation English:
The middle term is (2\cdot3a\cdot2b=12ab). Exam tip: multiply both terms and then multiply by (2).

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Mathematics Algebraic identities MCQ Questions for Class 9

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Algebraic identities Practice Questions

पहचान ( (a+b)2 ) का सही विस्तार क्या है?

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पहचान ( (x-y)2 ) का सही विस्तार चुनिए।

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( (10-2)2 ) का मान कौन-सा है?

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\( 15^2-5^2 \) को किस पहचान से सरल किया जा सकता है?

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Exam Tip

( (x+4)2 ) का विस्तार क्या होगा?

Concept

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Exam Tip

( (y-5)2 ) का सही विस्तार चुनिए।

Concept

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Exam Tip

( (3a+2b)2 ) में मध्य पद क्या है?

Concept

Why this answer is correct

Exam Tip

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पहचान ( (a+b)² ) का सही विस्तार क्या है?

पहचान ( (x-y)² ) का सही विस्तार चुनिए।

( (m+n)² ) में (2mn) को क्या कहा जा सकता है?

( (7+3)² ) को पहचान से निकालने पर मान क्या होगा?

( (10-2)² ) का मान कौन-सा है?

( (x+4)² ) का विस्तार क्या होगा?

( (y-5)² ) का सही विस्तार चुनिए।

( (3a+2b)² ) में मध्य पद क्या है?