How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.

Mathematics Quiz - Class 9 Mathematics Exploring Algebrai...

Question 1/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (a+b)² ) का सही प्रसार कौन सा है?

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

Explanation opens after your attempt

Correct Answer

A. \(a^2+2ab+b^2\)

Step 1

Concept

This is a standard identity. Exam tip: remember the middle term (2ab).

Step 2

Why this answer is correct

The correct answer is A. \(a^2+2ab+b^2\). This is a standard identity. Exam tip: remember the middle term (2ab).

Step 3

Exam Tip

यह मानक सर्वसमिका है। परीक्षा में बीच का पद (2ab) याद रखें।

Open Question Page

Question 2/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (a-b)² ) का सही प्रसार क्या है?

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

Explanation opens after your attempt

Correct Answer

B. \(a^2-2ab+b^2\)

Step 1

Concept

In the subtraction square identity the middle term is negative. Exam tip: focus on ( -2ab ).

Step 2

Why this answer is correct

The correct answer is B. \(a^2-2ab+b^2\). In the subtraction square identity the middle term is negative. Exam tip: focus on ( -2ab ).

Step 3

Exam Tip

घटाव वाली वर्ग सर्वसमिका में बीच का पद ऋणात्मक होता है। परीक्षा में ( -2ab ) पर ध्यान दें।

Open Question Page

Question 3/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+5)² ) का प्रसार चुनिए।

Choose the expansion of ( (x+5)² ).

Explanation opens after your attempt

Correct Answer

C. \(x^2+10x+25\)

Step 1

Concept

Using ( (a+b)²=a^-2+2ab+b^-2 ), \(2\cdot x\cdot5=10x\). Exam tip: multiply the middle term carefully.

Step 2

Why this answer is correct

The correct answer is C. \(x^2+10x+25\). Using ( (a+b)²=a^-2+2ab+b^-2 ), \(2\cdot x\cdot5=10x\). Exam tip: multiply the middle term carefully.

Step 3

Exam Tip

( (a+b)²=a^-2+2ab+b^-2 ) लगाने पर \(2\cdot x\cdot5=10x\) आता है। परीक्षा में बीच का गुणन ध्यान से करें।

Open Question Page

Question 4/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (y-4)² ) में बीच वाला पद क्या होगा?

What will be the middle term in ( (y-4)² )?

Explanation opens after your attempt

Correct Answer

D. (-8y)

Step 1

Concept

In ( (a-b)² ), the middle term is (-2ab). Here it is \(-2\cdot y\cdot4=-8y\).

Step 2

Why this answer is correct

The correct answer is D. (-8y). In ( (a-b)² ), the middle term is (-2ab). Here it is \(-2\cdot y\cdot4=-8y\).

Step 3

Exam Tip

( (a-b)² ) में बीच का पद (-2ab) होता है। यहाँ \(-2\cdot y\cdot4=-8y\) है।

Open Question Page

Question 5/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (p+q)(p-q) ) किसके बराबर है?

What is ( (p+q)(p-q) ) equal to?

Explanation opens after your attempt

Correct Answer

A. \(p^2-q^2\)

Step 1

Concept

This is the difference of squares identity. Exam tip: remember ( (a+b)(a-b)=a^-2-b^-2 ).

Step 2

Why this answer is correct

The correct answer is A. \(p^2-q^2\). This is the difference of squares identity. Exam tip: remember ( (a+b)(a-b)=a^-2-b^-2 ).

Step 3

Exam Tip

यह अंतर के वर्गों की सर्वसमिका है। परीक्षा में ( (a+b)(a-b)=a^-2-b^-2 ) याद रखें।

Open Question Page

Question 6/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( x^2-49 \) को गुणनखंड रूप में लिखिए।

Write \( x^2-49 \) in factor form.

Explanation opens after your attempt

Correct Answer

B. ( (x+7)(x-7) )

Step 1

Concept

Since \(49=7^2\), \(x^2-49=x^2-7^2\). Exam tip: identify squares first.

Step 2

Why this answer is correct

The correct answer is B. ( (x+7)(x-7) ). Since \(49=7^2\), \(x^2-49=x^2-7^2\). Exam tip: identify squares first.

Step 3

Exam Tip

\(49=7^2\), इसलिए \(x^2-49=x^2-7^2\) है। परीक्षा में वर्ग पहचानना जरूरी है।

Open Question Page

Question 7/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (m+3)(m^-3) ) का मान क्या होगा?

What will be the value of ( (m+3)(m^-3) )?

Explanation opens after your attempt

Correct Answer

C. \(m^2-9\)

Step 1

Concept

This is the form ( (a+b)(a-b)=a^-2-b^-2 ). Here \(3^2=9\).

Step 2

Why this answer is correct

The correct answer is C. \(m^2-9\). This is the form ( (a+b)(a-b)=a^-2-b^-2 ). Here \(3^2=9\).

Step 3

Exam Tip

यह ( (a+b)(a-b)=a^-2-b^-2 ) का रूप है। यहाँ \(3^2=9\) है।

Open Question Page

Question 8/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (2x+1)² ) का सही प्रसार कौन सा है?

Which is the correct expansion of ( (2x+1)² )?

Explanation opens after your attempt

Correct Answer

D. \(4x^2+4x+1\)

Step 1

Concept

Put (a=2x) and (b=1), so (2ab=4x). Exam tip: write ( (2x)²=4x^-2 ).

Step 2

Why this answer is correct

The correct answer is D. \(4x^2+4x+1\). Put (a=2x) and (b=1), so (2ab=4x). Exam tip: write ( (2x)²=4x^-2 ).

Step 3

Exam Tip

(a=2x) और (b=1) रखने पर (2ab=4x) मिलता है। परीक्षा में ( (2x)²=4x^-2 ) लिखें।

Open Question Page

Question 9/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (3a-2)² ) में (a) वाला पद कौन सा है?

Which is the (a)-term in ( (3a-2)² )?

Explanation opens after your attempt

Correct Answer

A. (-12a)

Step 1

Concept

The middle term is \(-2\cdot3a\cdot2=-12a\). Exam tip: do not make the sign positive by mistake.

Step 2

Why this answer is correct

The correct answer is A. (-12a). The middle term is \(-2\cdot3a\cdot2=-12a\). Exam tip: do not make the sign positive by mistake.

Step 3

Exam Tip

बीच का पद \(-2\cdot3a\cdot2=-12a\) है। परीक्षा में चिन्ह को गलती से धनात्मक न करें।

Open Question Page

Question 10/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+2)(x+5) ) का प्रसार क्या है?

What is the expansion of ( (x+2)(x+5) )?

Explanation opens after your attempt

Correct Answer

B. \(x^2+7x+10\)

Step 1

Concept

( (x+a)(x+b)=x^-2+(a+b)x+ab ). Here (a+b=7) and (ab=10).

Step 2

Why this answer is correct

The correct answer is B. \(x^2+7x+10\). ( (x+a)(x+b)=x^-2+(a+b)x+ab ). Here (a+b=7) and (ab=10).

Step 3

Exam Tip

( (x+a)(x+b)=x^-2+(a+b)x+ab ) होता है। यहाँ (a+b=7) और (ab=10) है।

Open Question Page

Question 11/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (t-3)(t+4) ) में स्थिर पद क्या है?

What is the constant term in ( (t-3)(t+4) )?

Explanation opens after your attempt

Correct Answer

C. (-12)

Step 1

Concept

The constant term is ((-3)\cdot4=-12). Exam tip: product of numbers gives the constant term.

Step 2

Why this answer is correct

The correct answer is C. (-12). The constant term is ((-3)\cdot4=-12). Exam tip: product of numbers gives the constant term.

Step 3

Exam Tip

स्थिर पद ((-3)\cdot4=-12) है। परीक्षा में केवल संख्याओं का गुणन स्थिर पद देता है।

Open Question Page

Question 12/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (a+b)²+(a-b)² ) किसके बराबर है?

What is ( (a+b)²+(a-b)² ) equal to?

Explanation opens after your attempt

Correct Answer

A. \(2a^2+2b^2\)

Step 1

Concept

On adding, (+2ab) and (-2ab) cancel. Exam tip: add the remaining terms carefully.

Step 2

Why this answer is correct

The correct answer is A. \(2a^2+2b^2\). On adding, (+2ab) and (-2ab) cancel. Exam tip: add the remaining terms carefully.

Step 3

Exam Tip

जोड़ने पर (+2ab) और (-2ab) कट जाते हैं। परीक्षा में बचे हुए पदों को ध्यान से जोड़ें।

Open Question Page

Question 13/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 101^2 \) निकालने के लिए कौन सी सर्वसमिका सबसे उपयुक्त है?

Which identity is most suitable to find \( 101^2 \)?

Explanation opens after your attempt

Correct Answer

B. ( (a+b)² )

Step 1

Concept

Since (101=100+1), ( (a+b)² ) is useful. Exam tip: choose a nearby easy number.

Step 2

Why this answer is correct

The correct answer is B. ( (a+b)² ). Since (101=100+1), ( (a+b)² ) is useful. Exam tip: choose a nearby easy number.

Step 3

Exam Tip

(101=100+1), इसलिए ( (a+b)² ) उपयोगी है। परीक्षा में पास की आसान संख्या चुनें।

Open Question Page

Question 14/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 99^2 \) को ( (100-1)² ) से निकालने पर मान क्या होगा?

Using ( (100-1)² ), what is \( 99^2 \)?

Explanation opens after your attempt

Correct Answer

A. (9801)

Step 1

Concept

( (100-1)²=10000-200+1=9801 ). Exam tip: subtract the middle term in minus identity.

Step 2

Why this answer is correct

The correct answer is A. (9801). ( (100-1)²=10000-200+1=9801 ). Exam tip: subtract the middle term in minus identity.

Step 3

Exam Tip

( (100-1)²=10000-200+1=9801 ) है। परीक्षा में घटाव वाली सर्वसमिका में बीच का पद घटाएँ।

Open Question Page

Question 15/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 52^2 \) को ( (50+2)² ) से निकालने पर सही उत्तर कौन सा है?

Using ( (50+2)² ), which is the correct value of \( 52^2 \)?

Explanation opens after your attempt

Correct Answer

B. (2704)

Step 1

Concept

(2500+200+4=2704). Exam tip: do not forget the (2ab) term.

Step 2

Why this answer is correct

The correct answer is B. (2704). (2500+200+4=2704). Exam tip: do not forget the (2ab) term.

Step 3

Exam Tip

(2500+200+4=2704) मिलता है। परीक्षा में (2ab) वाला पद न भूलें।

Open Question Page

Question 16/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 48^2 \) को ( (50-2)² ) से निकालने पर मान क्या है?

Using ( (50-2)² ), what is \( 48^2 \)?

Explanation opens after your attempt

Correct Answer

C. (2304)

Step 1

Concept

(2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 2

Why this answer is correct

The correct answer is C. (2304). (2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 3

Exam Tip

(2500-200+4=2304) होता है। परीक्षा में अंतिम \(b^2\) हमेशा जोड़ा जाता है।

Open Question Page

Question 17/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 63\times57 \) को जल्दी निकालने के लिए किस रूप में लिखना सही है?

To calculate \( 63\times57 \) quickly, which form is correct?

Explanation opens after your attempt

Correct Answer

D. ( (60+3)(60-3) )

Step 1

Concept

(63=60+3) and (57=60-3). Exam tip: identify ( (a+b)(a-b) ).

Step 2

Why this answer is correct

The correct answer is D. ( (60+3)(60-3) ). (63=60+3) and (57=60-3). Exam tip: identify ( (a+b)(a-b) ).

Step 3

Exam Tip

(63=60+3) और (57=60-3) है। परीक्षा में ( (a+b)(a-b) ) पहचानें।

Open Question Page

Question 18/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 75^2-25^2 \) का मान क्या होगा?

What is the value of \( 75^2-25^2 \)?

Explanation opens after your attempt

Correct Answer

A. (5000)

Step 1

Concept

(a^-2-b^-2=(a+b)(a-b)), so \(100\times50=5000\). Exam tip: use product form directly.

Step 2

Why this answer is correct

The correct answer is A. (5000). (a^-2-b^-2=(a+b)(a-b)), so \(100\times50=5000\). Exam tip: use product form directly.

Step 3

Exam Tip

(a^-2-b^-2=(a+b)(a-b)), इसलिए \(100\times50=5000\) है। परीक्षा में सीधे गुणन रूप लगाएँ।

Open Question Page

Question 19/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+6)²=x^-2+__+36 ) में रिक्त स्थान क्या होगा?

In ( (x+6)²=x^-2+__+36 ), what will fill the blank?

Explanation opens after your attempt

Correct Answer

B. (12x)

Step 1

Concept

The middle term is \(2\cdot x\cdot6=12x\). Exam tip: from \(b^2=36\), identify (b=6).

Step 2

Why this answer is correct

The correct answer is B. (12x). The middle term is \(2\cdot x\cdot6=12x\). Exam tip: from \(b^2=36\), identify (b=6).

Step 3

Exam Tip

बीच का पद \(2\cdot x\cdot6=12x\) है। परीक्षा में \(b^2=36\) देखकर (b=6) पहचानें।

Open Question Page

Question 20/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (z-8)²=z^-2-16z+__ ) में रिक्त स्थान क्या है?

In ( (z-8)²=z^-2-16z+__ ), what is the blank?

Explanation opens after your attempt

Correct Answer

C. (64)

Step 1

Concept

The last term is \(8^2=64\). Exam tip: the last term in square identity is always positive.

Step 2

Why this answer is correct

The correct answer is C. (64). The last term is \(8^2=64\). Exam tip: the last term in square identity is always positive.

Step 3

Exam Tip

अंतिम पद \(8^2=64\) है। परीक्षा में वर्ग सर्वसमिका में अंतिम पद हमेशा धनात्मक होता है।

Open Question Page

Question 21/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (r+s)² ) में \(r^2\) और \(s^2\) के अलावा कौन सा पद आता है?

Besides \(r^2\) and \(s^2\), which term appears in ( (r+s)² )?

Explanation opens after your attempt

Correct Answer

D. (2rs)

Step 1

Concept

In the plus square, the middle term is (2rs). Exam tip: do not write ( (r+s)² ) as only \(r^2+s^2\).

Step 2

Why this answer is correct

The correct answer is D. (2rs). In the plus square, the middle term is (2rs). Exam tip: do not write ( (r+s)² ) as only \(r^2+s^2\).

Step 3

Exam Tip

जोड़ वाले वर्ग में बीच का पद (2rs) होता है। परीक्षा में ( (r+s)² ) को केवल \(r^2+s^2\) न लिखें।

Open Question Page

Question 22/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (2p+3q)² ) का (pq) वाला पद क्या होगा?

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

Explanation opens after your attempt

Correct Answer

A. (12pq)

Step 1

Concept

The middle term is \(2\cdot2p\cdot3q=12pq\). Exam tip: multiply the coefficients too.

Step 2

Why this answer is correct

The correct answer is A. (12pq). The middle term is \(2\cdot2p\cdot3q=12pq\). Exam tip: multiply the coefficients too.

Step 3

Exam Tip

बीच का पद \(2\cdot2p\cdot3q=12pq\) है। परीक्षा में गुणांकों को भी गुणा करें।

Open Question Page

Question 23/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (4x-1)² ) का स्थिर पद क्या है?

What is the constant term of ( (4x-1)² )?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

The last term is ((-1)²=1). Exam tip: the square of a number is positive.

Step 2

Why this answer is correct

The correct answer is B. (1). The last term is ((-1)²=1). Exam tip: the square of a number is positive.

Step 3

Exam Tip

अंतिम पद ((-1)²=1) होता है। परीक्षा में किसी संख्या का वर्ग धनात्मक होता है।

Open Question Page

Question 24/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( x^2+14x+49 \) किसका वर्ग है?

\( x^2+14x+49 \) is the square of what?

Explanation opens after your attempt

Correct Answer

C. ( (x+7)² )

Step 1

Concept

\(49=7^2\) and \(14x=2\cdot x\cdot7\). Exam tip: identify the square from first and last terms.

Step 2

Why this answer is correct

The correct answer is C. ( (x+7)² ). \(49=7^2\) and \(14x=2\cdot x\cdot7\). Exam tip: identify the square from first and last terms.

Step 3

Exam Tip

\(49=7^2\) और \(14x=2\cdot x\cdot7\) है। परीक्षा में पहला और अंतिम पद देखकर वर्ग पहचानें।

Open Question Page

Question 25/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( y^2-10y+25 \) किसका वर्ग है?

\( y^2-10y+25 \) is the square of what?

Explanation opens after your attempt

Correct Answer

D. ( (y-5)² )

Step 1

Concept

\(25=5^2\) and the middle term is (-10y). Therefore it is ( (y-5)² ).

Step 2

Why this answer is correct

The correct answer is D. ( (y-5)² ). \(25=5^2\) and the middle term is (-10y). Therefore it is ( (y-5)² ).

Step 3

Exam Tip

\(25=5^2\) और बीच का पद (-10y) है। इसलिए यह ( (y-5)² ) है।

Open Question Page

Question 26/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( a^2-b^2 \) का गुणनखंड रूप कौन सा है?

What is the factor form of \( a^2-b^2 \)?

Explanation opens after your attempt

Correct Answer

A. ( (a+b)(a-b) )

Step 1

Concept

The factor form of difference of squares is ( (a+b)(a-b) ). Exam tip: recognize it quickly.

Step 2

Why this answer is correct

The correct answer is A. ( (a+b)(a-b) ). The factor form of difference of squares is ( (a+b)(a-b) ). Exam tip: recognize it quickly.

Step 3

Exam Tip

दो वर्गों के अंतर का गुणनखंड ( (a+b)(a-b) ) होता है। परीक्षा में इसे तुरंत पहचानें।

Open Question Page

Question 27/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+9)(x-9) ) में कौन सा पद नहीं आएगा?

Which term will not appear in ( (x+9)(x-9) )?

Explanation opens after your attempt

Correct Answer

B. (18x)

Step 1

Concept

( (x+9)(x-9)=x^-2-81 ), so the middle term cancels. Exam tip: opposite sign terms add to zero.

Step 2

Why this answer is correct

The correct answer is B. (18x). ( (x+9)(x-9)=x^-2-81 ), so the middle term cancels. Exam tip: opposite sign terms add to zero.

Step 3

Exam Tip

( (x+9)(x-9)=x^-2-81 ) होता है, बीच का पद कट जाता है। परीक्षा में विपरीत चिन्ह वाले पदों का योग शून्य देखें।

Open Question Page

Question 28/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+1)(x+9) ) में (x) का गुणांक क्या है?

What is the coefficient of (x) in ( (x+1)(x+9) )?

Explanation opens after your attempt

Correct Answer

B. (10)

Step 1

Concept

In ( (x+a)(x+b) ), the coefficient of (x) is (a+b). Here (1+9=10).

Step 2

Why this answer is correct

The correct answer is B. (10). In ( (x+a)(x+b) ), the coefficient of (x) is (a+b). Here (1+9=10).

Step 3

Exam Tip

( (x+a)(x+b) ) में (x) का गुणांक (a+b) होता है। यहाँ (1+9=10) है।

Open Question Page

Question 29/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x-2)(x-7) ) में स्थिर पद क्या होगा?

What will be the constant term in ( (x-2)(x-7) )?

Explanation opens after your attempt

Correct Answer

A. (14)

Step 1

Concept

The constant term is ((-2)(-7)=14). Exam tip: product of two negative numbers is positive.

Step 2

Why this answer is correct

The correct answer is A. (14). The constant term is ((-2)(-7)=14). Exam tip: product of two negative numbers is positive.

Step 3

Exam Tip

स्थिर पद ((-2)(-7)=14) है। परीक्षा में दो ऋणात्मक संख्याओं का गुणन धनात्मक होता है।

Open Question Page

Question 30/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x-4)(x+6) ) में (x) का गुणांक क्या है?

What is the coefficient of (x) in ( (x-4)(x+6) )?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The coefficient of (x) is (-4+6=2). Exam tip: take the algebraic sum of the numbers.

Step 2

Why this answer is correct

The correct answer is B. (2). The coefficient of (x) is (-4+6=2). Exam tip: take the algebraic sum of the numbers.

Step 3

Exam Tip

(x) का गुणांक (-4+6=2) है। परीक्षा में संख्याओं का बीजगणितीय योग लें।

Open Question Page

Question 31/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (2x+5)(2x-5) ) का मान क्या है?

What is the value of ( (2x+5)(2x-5) )?

Explanation opens after your attempt

Correct Answer

C. \(4x^2-25\)

Step 1

Concept

This is \(a^2-b^2\), where (a=2x) and (b=5). So the answer is \(4x^2-25\).

Step 2

Why this answer is correct

The correct answer is C. \(4x^2-25\). This is \(a^2-b^2\), where (a=2x) and (b=5). So the answer is \(4x^2-25\).

Step 3

Exam Tip

यह \(a^2-b^2\) है जहाँ (a=2x) और (b=5) है। इसलिए उत्तर \(4x^2-25\) है।

Open Question Page

Question 32/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (5m+2n)² ) में पहला पद क्या होगा?

What will be the first term in ( (5m+2n)² )?

Explanation opens after your attempt

Correct Answer

D. \(25m^2\)

Step 1

Concept

The first term is ( (5m)²=25m^-2 ). Exam tip: do not forget to square the coefficient.

Step 2

Why this answer is correct

The correct answer is D. \(25m^2\). The first term is ( (5m)²=25m^-2 ). Exam tip: do not forget to square the coefficient.

Step 3

Exam Tip

पहला पद ( (5m)²=25m^-2 ) होता है। परीक्षा में गुणांक का वर्ग लेना न भूलें।

Open Question Page

Question 33/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (u-v)² ) में अंतिम पद कौन सा होता है?

What is the last term in ( (u-v)² )?

Explanation opens after your attempt

Correct Answer

A. \(v^2\)

Step 1

Concept

In the square identity, the last term is \(v^2\) and remains positive. Exam tip: the minus sign affects the middle term.

Step 2

Why this answer is correct

The correct answer is A. \(v^2\). In the square identity, the last term is \(v^2\) and remains positive. Exam tip: the minus sign affects the middle term.

Step 3

Exam Tip

वर्ग सर्वसमिका में अंतिम पद \(v^2\) होता है और धनात्मक रहता है। परीक्षा में ऋण चिन्ह केवल बीच के पद पर आता है।

Open Question Page

Question 34/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (7+3)² ) को सर्वसमिका से निकालने पर कौन सा रूप सही है?

Using identity, which form is correct for ( (7+3)² )?

Explanation opens after your attempt

Correct Answer

B. \(7^2+2\cdot7\cdot3+3^2\)

Step 1

Concept

In the plus square identity, (+2ab) appears. Exam tip: keep ( (a+b)² ) and ( (a-b)² ) separate.

Step 2

Why this answer is correct

The correct answer is B. \(7^2+2\cdot7\cdot3+3^2\). In the plus square identity, (+2ab) appears. Exam tip: keep ( (a+b)² ) and ( (a-b)² ) separate.

Step 3

Exam Tip

जोड़ वाली वर्ग सर्वसमिका में (+2ab) आता है। परीक्षा में ( (a+b)² ) और ( (a-b)² ) अलग रखें।

Open Question Page

Question 35/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (10-3)² ) के लिए कौन सा विस्तार सही है?

Which expansion is correct for ( (10-3)² )?

Explanation opens after your attempt

Correct Answer

C. \(10^2-2\cdot10\cdot3+3^2\)

Step 1

Concept

In the minus square identity, the middle term is subtracted. Exam tip: the final \(3^2\) is still added.

Step 2

Why this answer is correct

The correct answer is C. \(10^2-2\cdot10\cdot3+3^2\). In the minus square identity, the middle term is subtracted. Exam tip: the final \(3^2\) is still added.

Step 3

Exam Tip

घटाव वाली वर्ग सर्वसमिका में बीच का पद घटता है। परीक्षा में अंतिम \(3^2\) फिर भी जोड़ा जाता है।

Open Question Page

Question 36/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 104\times96 \) को किस सर्वसमिका से जल्दी निकाला जा सकता है?

Which identity can quickly calculate \( 104\times96 \)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(104=100+4) and (96=100-4). So the difference of squares identity is useful.

Step 2

Why this answer is correct

The correct answer is C. ( (a+b)(a-b)=a^-2-b^-2 ). (104=100+4) and (96=100-4). So the difference of squares identity is useful.

Step 3

Exam Tip

(104=100+4) और (96=100-4) है। इसलिए अंतर के वर्गों की सर्वसमिका उपयोगी है।

Open Question Page

Question 37/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (3x+4)² ) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in ( (3x+4)² )?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

( (3x)²=9x^-2 ). Exam tip: square the whole (3x).

Step 2

Why this answer is correct

The correct answer is C. (9). ( (3x)²=9x^-2 ). Exam tip: square the whole (3x).

Step 3

Exam Tip

( (3x)²=9x^-2 ) है। परीक्षा में (3x) का पूरा वर्ग लें।

Open Question Page

Question 38/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (a+2b)² ) का प्रसार कौन सा है?

Which is the expansion of ( (a+2b)² )?

Explanation opens after your attempt

Correct Answer

A. \(a^2+4ab+4b^2\)

Step 1

Concept

Here the (2ab) term is \(2\cdot a\cdot2b=4ab\). Exam tip: calculate ( (2b)²=4b^-2 ).

Step 2

Why this answer is correct

The correct answer is A. \(a^2+4ab+4b^2\). Here the (2ab) term is \(2\cdot a\cdot2b=4ab\). Exam tip: calculate ( (2b)²=4b^-2 ).

Step 3

Exam Tip

यहाँ (2ab) वाला पद \(2\cdot a\cdot2b=4ab\) है। परीक्षा में ( (2b)²=4b^-2 ) करें।

Open Question Page

Question 39/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (p-5q)² ) का सही प्रसार चुनिए।

Choose the correct expansion of ( (p-5q)² ).

Explanation opens after your attempt

Correct Answer

B. \(p^2-10pq+25q^2\)

Step 1

Concept

The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 2

Why this answer is correct

The correct answer is B. \(p^2-10pq+25q^2\). The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 3

Exam Tip

बीच का पद \(-2\cdot p\cdot5q=-10pq\) है। परीक्षा में (5q) का वर्ग \(25q^2\) लिखें।

Open Question Page

Question 40/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+4)²-(x-4)² ) का सरल रूप क्या है?

What is the simplified form of ( (x+4)²-(x-4)² )?

Explanation opens after your attempt

Correct Answer

C. (16x)

Step 1

Concept

( (a+b)²-(a-b)²=4ab ). Here (a=x), (b=4), so it is (16x).

Step 2

Why this answer is correct

The correct answer is C. (16x). ( (a+b)²-(a-b)²=4ab ). Here (a=x), (b=4), so it is (16x).

Step 3

Exam Tip

( (a+b)²-(a-b)²=4ab ) है। यहाँ (a=x), (b=4), इसलिए (16x) है।

Open Question Page

Question 41/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+4)²+(x-4)² ) का सरल रूप क्या है?

What is the simplified form of ( (x+4)²+(x-4)² )?

Explanation opens after your attempt

Correct Answer

A. \(2x^2+32\)

Step 1

Concept

( (a+b)²+(a-b)²=2a^-2+2b^-2 ). Here it gives \(2x^2+2\cdot16=2x^2+32\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+32\). ( (a+b)²+(a-b)²=2a^-2+2b^-2 ). Here it gives \(2x^2+2\cdot16=2x^2+32\).

Step 3

Exam Tip

( (a+b)²+(a-b)²=2a^-2+2b^-2 ) है। यहाँ \(2x^2+2\cdot16=2x^2+32\) मिलेगा।

Open Question Page

Question 42/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 37^2-13^2 \) का मान क्या है?

What is the value of \( 37^2-13^2 \)?

Explanation opens after your attempt

Correct Answer

B. (1200)

Step 1

Concept

(a^-2-b^-2=(a+b)(a-b)), so \(50\times24=1200\). Exam tip: find (a+b) and (a-b) directly.

Step 2

Why this answer is correct

The correct answer is B. (1200). (a^-2-b^-2=(a+b)(a-b)), so \(50\times24=1200\). Exam tip: find (a+b) and (a-b) directly.

Step 3

Exam Tip

(a^-2-b^-2=(a+b)(a-b)), इसलिए \(50\times24=1200\) है। परीक्षा में सीधे (a+b) और (a-b) निकालें।

Open Question Page

Question 43/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 1002^2 \) निकालने के लिए (1002) को किस रूप में लिखना अच्छा है?

To calculate \(1002^2\), how is it good to write (1002)?

Explanation opens after your attempt

Correct Answer

C. (1000+2)

Step 1

Concept

(1002=1000+2), so ( (a+b)² ) becomes easy. Exam tip: choose a nearby round number.

Step 2

Why this answer is correct

The correct answer is C. (1000+2). (1002=1000+2), so ( (a+b)² ) becomes easy. Exam tip: choose a nearby round number.

Step 3

Exam Tip

(1002=1000+2) है, इसलिए ( (a+b)² ) आसान बनेगा। परीक्षा में पास की गोल संख्या चुनें।

Open Question Page

Question 44/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (m+n)² ) और \(m^2+n^2\) में क्या अंतर है?

What is the difference between ( (m+n)² ) and \(m^2+n^2\)?

Explanation opens after your attempt

Correct Answer

B. (2mn)

Step 1

Concept

( (m+n)²=m^-2+2mn+n^-2 ), so the extra term is (2mn). Exam tip: remember this common mistake.

Step 2

Why this answer is correct

The correct answer is B. (2mn). ( (m+n)²=m^-2+2mn+n^-2 ), so the extra term is (2mn). Exam tip: remember this common mistake.

Step 3

Exam Tip

( (m+n)²=m^-2+2mn+n^-2 ), इसलिए अतिरिक्त पद (2mn) है। परीक्षा में यह सामान्य गलती याद रखें।

Open Question Page

Question 45/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (m-n)² ) और \(m^2+n^2\) में कौन सा अतिरिक्त पद होता है?

Which extra term is present in ( (m-n)² ) compared with \(m^2+n^2\)?

Explanation opens after your attempt

Correct Answer

B. (-2mn)

Step 1

Concept

( (m-n)²=m^-2-2mn+n^-2 ). Exam tip: write (-2mn) in the minus square identity.

Step 2

Why this answer is correct

The correct answer is B. (-2mn). ( (m-n)²=m^-2-2mn+n^-2 ). Exam tip: write (-2mn) in the minus square identity.

Step 3

Exam Tip

( (m-n)²=m^-2-2mn+n^-2 ) है। परीक्षा में घटाव वाली सर्वसमिका में (-2mn) लिखें।

Open Question Page

Question 46/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+3)²=x^-2+6x+9 ) में (9) कहाँ से आया?

In ( (x+3)²=x^-2+6x+9 ), where did (9) come from?

Explanation opens after your attempt

Correct Answer

C. \(3^2\) सेFrom \(3^2\)

Step 1

Concept

The last term comes from the square of the second term. Exam tip: remember \(3^2=9\).

Step 2

Why this answer is correct

The correct answer is C. \(3^2\) से / From \(3^2\). The last term comes from the square of the second term. Exam tip: remember \(3^2=9\).

Step 3

Exam Tip

अंतिम पद दूसरे पद के वर्ग से आता है। परीक्षा में \(3^2=9\) याद रखें।

Open Question Page

Question 47/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (2a-b)² ) में बीच वाला पद क्या है?

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

Explanation opens after your attempt

Correct Answer

D. (-4ab)

Step 1

Concept

The middle term is \(-2\cdot2a\cdot b=-4ab\). Exam tip: include the coefficient of the first term.

Step 2

Why this answer is correct

The correct answer is D. (-4ab). The middle term is \(-2\cdot2a\cdot b=-4ab\). Exam tip: include the coefficient of the first term.

Step 3

Exam Tip

बीच का पद \(-2\cdot2a\cdot b=-4ab\) है। परीक्षा में पहले पद का गुणांक शामिल करें।

Open Question Page

Question 48/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+8)(x-8) ) का सरल रूप क्या होगा?

What will be the simplified form of ( (x+8)(x-8) )?

Explanation opens after your attempt

Correct Answer

C. \(x^2-64\)

Step 1

Concept

This is \(x^2-8^2\). Exam tip: treat products with opposite signs as \(a^2-b^2\).

Step 2

Why this answer is correct

The correct answer is C. \(x^2-64\). This is \(x^2-8^2\). Exam tip: treat products with opposite signs as \(a^2-b^2\).

Step 3

Exam Tip

यह \(x^2-8^2\) है। परीक्षा में विपरीत चिन्हों वाले गुणनफल को \(a^2-b^2\) मानें।

Open Question Page

Question 49/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (x+10)² ) में बीच वाला पद क्या होगा?

What will be the middle term in ( (x+10)² )?

Explanation opens after your attempt

Correct Answer

B. (20x)

Step 1

Concept

The middle term is \(2\cdot x\cdot10=20x\). Exam tip: always write the (2ab) term.

Step 2

Why this answer is correct

The correct answer is B. (20x). The middle term is \(2\cdot x\cdot10=20x\). Exam tip: always write the (2ab) term.

Step 3

Exam Tip

बीच का पद \(2\cdot x\cdot10=20x\) होता है। परीक्षा में (2ab) वाला पद जरूर लिखें।

Open Question Page

Question 50/50 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (3x+2)(3x-2) ) का सरल रूप क्या है?

What is the simplified form of ( (3x+2)(3x-2) )?

Explanation opens after your attempt

Correct Answer

A. \(9x^2-4\)

Step 1

Concept

This is the form \(a^2-b^2\), where (a=3x) and (b=2). Exam tip: calculate ((3x)²=9x^-2).

Step 2

Why this answer is correct

The correct answer is A. \(9x^2-4\). This is the form \(a^2-b^2\), where (a=3x) and (b=2). Exam tip: calculate ((3x)²=9x^-2).

Step 3

Exam Tip

यह \(a^2-b^2\) का रूप है जहाँ (a=3x) और (b=2) है। परीक्षा में ((3x)²=9x^-2) करें।

Open Question Page

Class 9 Mathematics - Exploring Algebraic Identities - Visual models of identities Easy Quiz

( (a+b)2 ) का सही प्रसार कौन सा है?

Concept

Why this answer is correct

Exam Tip

( (a-b)2 ) का सही प्रसार क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+5)2 ) का प्रसार चुनिए।

Concept

Why this answer is correct

Exam Tip

( (y-4)2 ) में बीच वाला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (p+q)(p-q) ) किसके बराबर है?

Concept

Why this answer is correct

Exam Tip

\( x^2-49 \) को गुणनखंड रूप में लिखिए।

Concept

Why this answer is correct

Exam Tip

( (m+3)(m-3) ) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (2x+1)2 ) का सही प्रसार कौन सा है?

Concept

Why this answer is correct

Exam Tip

( (3a-2)2 ) में (a) वाला पद कौन सा है?

Concept

Why this answer is correct

Exam Tip

( (x+2)(x+5) ) का प्रसार क्या है?

Concept

Why this answer is correct

Exam Tip

( (t-3)(t+4) ) में स्थिर पद क्या है?

Concept

Why this answer is correct

Exam Tip

( (a+b)2+(a-b)2 ) किसके बराबर है?

Concept

Why this answer is correct

Exam Tip

\( 101^2 \) निकालने के लिए कौन सी सर्वसमिका सबसे उपयुक्त है?

Concept

Why this answer is correct

Exam Tip

\( 99^2 \) को ( (100-1)2 ) से निकालने पर मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

\( 52^2 \) को ( (50+2)2 ) से निकालने पर सही उत्तर कौन सा है?

Concept

Why this answer is correct

Exam Tip

\( 48^2 \) को ( (50-2)2 ) से निकालने पर मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( 63\times57 \) को जल्दी निकालने के लिए किस रूप में लिखना सही है?

Concept

Why this answer is correct

Exam Tip

\( 75^2-25^2 \) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (x+6)2=x-2+__+36 ) में रिक्त स्थान क्या होगा?

Concept

Why this answer is correct

Exam Tip

( (z-8)2=z-2-16z+__ ) में रिक्त स्थान क्या है?

Concept

Why this answer is correct

( (a+b)² ) का सही प्रसार कौन सा है?

( (a-b)² ) का सही प्रसार क्या है?

( (x+5)² ) का प्रसार चुनिए।

( (y-4)² ) में बीच वाला पद क्या होगा?

( (m+3)(m^-3) ) का मान क्या होगा?

( (2x+1)² ) का सही प्रसार कौन सा है?

( (3a-2)² ) में (a) वाला पद कौन सा है?

( (a+b)²+(a-b)² ) किसके बराबर है?

\( 99^2 \) को ( (100-1)² ) से निकालने पर मान क्या होगा?

\( 52^2 \) को ( (50+2)² ) से निकालने पर सही उत्तर कौन सा है?

\( 48^2 \) को ( (50-2)² ) से निकालने पर मान क्या है?

( (x+6)²=x^-2+__+36 ) में रिक्त स्थान क्या होगा?

( (z-8)²=z^-2-16z+__ ) में रिक्त स्थान क्या है?

( (r+s)² ) में \(r^2\) और \(s^2\) के अलावा कौन सा पद आता है?

( (2p+3q)² ) का (pq) वाला पद क्या होगा?

( (4x-1)² ) का स्थिर पद क्या है?

( (5m+2n)² ) में पहला पद क्या होगा?

( (u-v)² ) में अंतिम पद कौन सा होता है?

( (7+3)² ) को सर्वसमिका से निकालने पर कौन सा रूप सही है?

( (10-3)² ) के लिए कौन सा विस्तार सही है?

( (3x+4)² ) में \(x^2\) का गुणांक क्या है?

( (a+2b)² ) का प्रसार कौन सा है?