Concept-wise Practice

completing-square MCQ Questions for Class 10

completing-square se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

All Tags Search Similar

Practice Questions

73 questions tagged with completing-square.

Question 61/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

किस विधि में समीकरण को पहले ((x+p)2=q) जैसे रूप में बदला जाता है?

In which method is the equation first changed into a form like ((x+p)2=q)?

Explanation opens after your attempt
Correct Answer

A. पूर्ण वर्ग विधिCompleting square method

Step 1

Concept

In completing square method, the quadratic part is made into the form ((x+p)2). In exams, this method is useful when simple factors are not found quickly.

Step 2

Why this answer is correct

The correct answer is A. पूर्ण वर्ग विधि / Completing square method. In completing square method, the quadratic part is made into the form ((x+p)2). In exams, this method is useful when simple factors are not found quickly.

Step 3

Exam Tip

पूर्ण वर्ग विधि में द्विघात भाग को ((x+p)2) के रूप में बनाया जाता है। परीक्षा में यह विधि तब उपयोगी है जब सामान्य गुणनखंड जल्दी न मिलें।

Open Question Page
Ask Friends
Question 62/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(x^2+24x+144\) किसके बराबर है?

What is \(x^2+24x+144\) equal to?

Explanation opens after your attempt
Correct Answer

A. ((x+12)2)

Step 1

Concept

(x-2+24x+144=(x+12)2). In exams, identify it using \(2\cdot12x=24x\).

Step 2

Why this answer is correct

The correct answer is A. ((x+12)2). (x-2+24x+144=(x+12)2). In exams, identify it using \(2\cdot12x=24x\).

Step 3

Exam Tip

(x-2+24x+144=(x+12)2) है। परीक्षा में \(2\cdot12x=24x\) से पहचान करें।

Open Question Page
Ask Friends
Question 63/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

पूर्ण वर्ग विधि में \(x^2+24x+17=0\) के लिए किस संख्या का प्रयोग होगा?

In completing square method for \(x^2+24x+17=0\), which number will be used?

Explanation opens after your attempt
Correct Answer

A. (144)

Step 1

Concept

Half of (24) is (12), and \(12^2=144\). In exams, add the square of half the coefficient.

Step 2

Why this answer is correct

The correct answer is A. (144). Half of (24) is (12), and \(12^2=144\). In exams, add the square of half the coefficient.

Step 3

Exam Tip

(24) का आधा (12) है और \(12^2=144\) होता है। परीक्षा में आधे गुणांक का वर्ग जोड़ना होता है।

Open Question Page
Ask Friends
Question 64/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

पूर्ण वर्ग बनाते समय \(x^2-22x\) में कौनसा पद जोड़ना होगा?

While completing the square, which term must be added to \(x^2-22x\)?

Explanation opens after your attempt
Correct Answer

A. (121)

Step 1

Concept

Half of (-22) is (-11), and ((-11)2=121). In exams, the square of half the coefficient is always positive.

Step 2

Why this answer is correct

The correct answer is A. (121). Half of (-22) is (-11), and ((-11)2=121). In exams, the square of half the coefficient is always positive.

Step 3

Exam Tip

(-22) का आधा (-11) है और ((-11)2=121) होता है। परीक्षा में आधे गुणांक का वर्ग हमेशा धनात्मक होता है।

Open Question Page
Ask Friends
Question 65/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

पूर्ण वर्ग विधि में \(x^2+20x+13=0\) के लिए कौनसी संख्या जोड़ी और घटाई जाएगी?

In completing square method for \(x^2+20x+13=0\), which number will be added and subtracted?

Explanation opens after your attempt
Correct Answer

A. (100)

Step 1

Concept

Half of (20) is (10), and \(10^2=100\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 2

Why this answer is correct

The correct answer is A. (100). Half of (20) is (10), and \(10^2=100\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 3

Exam Tip

(20) का आधा (10) है और \(10^2=100\) होता है। परीक्षा में (\left\(\frac{b}{2}\right\)2) का प्रयोग करें।

Open Question Page
Ask Friends
Question 66/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(x^2+16x+64\) किसके बराबर है?

What is \(x^2+16x+64\) equal to?

Explanation opens after your attempt
Correct Answer

A. ((x+8)2)

Step 1

Concept

(x-2+16x+64=(x+8)2). In exams, identify it using \(2\cdot8x=16x\).

Step 2

Why this answer is correct

The correct answer is A. ((x+8)2). (x-2+16x+64=(x+8)2). In exams, identify it using \(2\cdot8x=16x\).

Step 3

Exam Tip

(x-2+16x+64=(x+8)2) है। परीक्षा में \(2\cdot8x=16x\) से पहचान करें।

Open Question Page
Ask Friends
Question 67/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

पूर्ण वर्ग विधि में \(x^2+16x+11=0\) के लिए किस संख्या का प्रयोग होगा?

In completing square method for \(x^2+16x+11=0\), which number will be used?

Explanation opens after your attempt
Correct Answer

A. (64)

Step 1

Concept

Half of (16) is (8), and \(8^2=64\). In exams, add the square of half the coefficient.

Step 2

Why this answer is correct

The correct answer is A. (64). Half of (16) is (8), and \(8^2=64\). In exams, add the square of half the coefficient.

Step 3

Exam Tip

(16) का आधा (8) है और \(8^2=64\) होता है। परीक्षा में आधे गुणांक का वर्ग जोड़ना होता है।

Open Question Page
Ask Friends
Question 68/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

पूर्ण वर्ग बनाते समय \(x^2-18x\) में कौनसा पद जोड़ना होगा?

While completing the square, which term must be added to \(x^2-18x\)?

Explanation opens after your attempt
Correct Answer

A. (81)

Step 1

Concept

Half of (-18) is (-9), and ((-9)2=81). In exams, the square of half the coefficient is always positive.

Step 2

Why this answer is correct

The correct answer is A. (81). Half of (-18) is (-9), and ((-9)2=81). In exams, the square of half the coefficient is always positive.

Step 3

Exam Tip

(-18) का आधा (-9) है और ((-9)2=81) होता है। परीक्षा में आधे गुणांक का वर्ग हमेशा धनात्मक होता है।

Open Question Page
Ask Friends
Question 69/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

पूर्ण वर्ग विधि में \(x^2+12x+7=0\) के लिए कौनसी संख्या जोड़ी और घटाई जाएगी?

In completing square method for \(x^2+12x+7=0\), which number will be added and subtracted?

Explanation opens after your attempt
Correct Answer

A. (36)

Step 1

Concept

Half of (12) is (6), and \(6^2=36\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 2

Why this answer is correct

The correct answer is A. (36). Half of (12) is (6), and \(6^2=36\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 3

Exam Tip

(12) का आधा (6) है और \(6^2=36\) होता है। परीक्षा में (\left\(\frac{b}{2}\right\)2) का प्रयोग करें।

Open Question Page
Ask Friends
Question 70/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(x^2-10x+25\) किसके बराबर है?

What is \(x^2-10x+25\) equal to?

Explanation opens after your attempt
Correct Answer

A. ((x-5)2)

Step 1

Concept

(x-2-10x+25=(x-5)2). In exams, check the pattern using \(-2\cdot5x=-10x\).

Step 2

Why this answer is correct

The correct answer is A. ((x-5)2). (x-2-10x+25=(x-5)2). In exams, check the pattern using \(-2\cdot5x=-10x\).

Step 3

Exam Tip

(x-2-10x+25=(x-5)2) है। परीक्षा में \(-2\cdot5x=-10x\) से पैटर्न जांचें।

Open Question Page
Ask Friends
Question 71/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

पूर्ण वर्ग विधि में \(x^2-10x+7=0\) के लिए किस संख्या का प्रयोग होगा?

In completing square method for \(x^2-10x+7=0\), which number will be used?

Explanation opens after your attempt
Correct Answer

A. (25)

Step 1

Concept

Half of (-10) is (-5), and ((-5)2=25). In exams, add the square of half the coefficient.

Step 2

Why this answer is correct

The correct answer is A. (25). Half of (-10) is (-5), and ((-5)2=25). In exams, add the square of half the coefficient.

Step 3

Exam Tip

(-10) का आधा (-5) है और ((-5)2=25) होता है। परीक्षा में आधे गुणांक का वर्ग जोड़ें।

Open Question Page
Ask Friends
Question 72/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

पूर्ण वर्ग बनाकर \(x^2+8x=0\) में \(x^2+8x+16\) किसके बराबर होगा?

By completing the square in \(x^2+8x=0\), what is \(x^2+8x+16\) equal to?

Explanation opens after your attempt
Correct Answer

A. ((x+4)2)

Step 1

Concept

(x-2+8x+16=(x+4)2). In exams, take half of (8), which is (4), and add its square.

Step 2

Why this answer is correct

The correct answer is A. ((x+4)2). (x-2+8x+16=(x+4)2). In exams, take half of (8), which is (4), and add its square.

Step 3

Exam Tip

(x-2+8x+16=(x+4)2) होता है। परीक्षा में (8) का आधा (4) लेकर उसका वर्ग जोड़ें।

Open Question Page
Ask Friends
Question 73/73 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

पूर्ण वर्ग विधि में \(x^2+6x+5=0\) के लिए किस संख्या को जोड़कर घटाया जाता है?

In completing square method for \(x^2+6x+5=0\), which number is added and subtracted?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

Half of the coefficient (6) is (3), and \(3^2=9\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 2

Why this answer is correct

The correct answer is A. (9). Half of the coefficient (6) is (3), and \(3^2=9\). In exams, use (\left\(\frac{b}{2}\right\)2).

Step 3

Exam Tip

(x) के गुणांक (6) का आधा (3) है और \(3^2=9\) होता है। परीक्षा में (\left\(\frac{b}{2}\right\)2) का प्रयोग करें।

Open Question Page
Ask Friends

completing-square Revision Links

All MCQ Tags

Browse concept directory

All Subjects

Subject-wise practice

Search completing-square

More keyword results