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.

Practice Questions

70 questions tagged with completing-square.

Question 61/70 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।

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Question 62/70 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।

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Question 63/70 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।

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Question 64/70 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।

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Question 65/70 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।

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Question 66/70 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।

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Question 67/70 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।

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Question 68/70 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।

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Question 69/70 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।

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Question 70/70 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।

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