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no-real-roots MCQ Questions for Class 10

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60 questions tagged with no-real-roots.

Question 1/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

कथन पढ़िए: \(x^2+1=0\) के वास्तविक मूल नहीं हैं क्योंकि (D<0)। यह कथन कैसा है?

Read the statement: \(x^2+1=0\) has no real roots because (D<0). How is this statement?

Explanation opens after your attempt
Correct Answer

A. सहीcorrect

Step 1

Concept

(D=02-4(1)(1)=-4<0). Hence the statement is correct and there are no real roots.

Step 2

Why this answer is correct

The correct answer is A. सही / correct. (D=02-4(1)(1)=-4<0). Hence the statement is correct and there are no real roots.

Step 3

Exam Tip

(D=02-4(1)(1)=-4<0) है। इसलिए कथन सही है और वास्तविक मूल नहीं हैं।

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Question 2/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(x^2-4x+8=0\) के मूलों की प्रकृति बताइए।

State the nature of roots of \(x^2-4x+8=0\).

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=(-4)2-4(1)(8)=-16<0). So there are no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=(-4)2-4(1)(8)=-16<0). So there are no real roots.

Step 3

Exam Tip

(D=(-4)2-4(1)(8)=-16<0) है। इसलिए कोई वास्तविक मूल नहीं है।

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Question 3/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(3x^2-2x+4=0\) के लिए विविक्तकर का चिन्ह क्या है?

What is the sign of the discriminant for \(3x^2-2x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. ऋणात्मकnegative

Step 1

Concept

(D=(-2)2-4(3)(4)=-44<0). Hence the discriminant is negative.

Step 2

Why this answer is correct

The correct answer is A. ऋणात्मक / negative. (D=(-2)2-4(3)(4)=-44<0). Hence the discriminant is negative.

Step 3

Exam Tip

(D=(-2)2-4(3)(4)=-44<0) है। अतः विविक्तकर ऋणात्मक है।

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Question 4/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(4x^2+4x+5=0\) के लिए सही प्रकृति कौन सी है?

Which is the correct nature for \(4x^2+4x+5=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=42-4(4)(5)=-64<0). Therefore it has no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=42-4(4)(5)=-64<0). Therefore it has no real roots.

Step 3

Exam Tip

(D=42-4(4)(5)=-64<0) है। इसलिए इसके वास्तविक मूल नहीं हैं।

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Question 5/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

यदि किसी द्विघात समीकरण के वास्तविक मूल नहीं हैं, तो (D) के लिए सही शर्त क्या है?

If a quadratic equation has no real roots, what is the correct condition for (D)?

Explanation opens after your attempt
Correct Answer

A. (D<0)

Step 1

Concept

When there are no real roots, (D<0). The condition \(D\geq0\) indicates real roots.

Step 2

Why this answer is correct

The correct answer is A. (D<0). When there are no real roots, (D<0). The condition \(D\geq0\) indicates real roots.

Step 3

Exam Tip

वास्तविक मूल न होने पर (D<0) होता है। \(D\geq0\) वास्तविक मूलों की स्थिति बताता है।

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Question 6/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(2x^2+8=0\) के मूलों की प्रकृति क्या होगी?

What will be the nature of roots of \(2x^2+8=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=02-4(2)(8)=-64<0). Therefore the equation will have no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=02-4(2)(8)=-64<0). Therefore the equation will have no real roots.

Step 3

Exam Tip

(D=02-4(2)(8)=-64<0) है। इसलिए समीकरण के वास्तविक मूल नहीं होंगे।

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Question 7/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(x^2+9=0\) के लिए सही विकल्प चुनिए।

Choose the correct option for \(x^2+9=0\).

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

Here (D=02-4(1)(9)=-36<0). Therefore there are no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. Here (D=02-4(1)(9)=-36<0). Therefore there are no real roots.

Step 3

Exam Tip

यहां (D=02-4(1)(9)=-36<0) है। इसलिए वास्तविक मूल नहीं हैं।

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Question 8/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(x^2+4x+p=0\) के वास्तविक मूल न होने के लिए कौन सी शर्त सही है?

For \(x^2+4x+p=0\) to have no real roots, which condition is correct?

Explanation opens after your attempt
Correct Answer

A. (p>4)

Step 1

Concept

For no real roots (D<0), so (16-4p<0) gives (p>4). A negative discriminant gives no real roots.

Step 2

Why this answer is correct

The correct answer is A. (p>4). For no real roots (D<0), so (16-4p<0) gives (p>4). A negative discriminant gives no real roots.

Step 3

Exam Tip

वास्तविक मूल न होने के लिए (D<0), इसलिए (16-4p<0) से (p>4)। ऋणात्मक विविक्तकर पर वास्तविक मूल नहीं होते।

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Question 9/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(7x^2+2x+3=0\) के लिए सही निष्कर्ष क्या है?

What is the correct conclusion for \(7x^2+2x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=22-4(7)(3)=-80<0). So this equation has no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=22-4(7)(3)=-80<0). So this equation has no real roots.

Step 3

Exam Tip

(D=22-4(7)(3)=-80<0) है। इसलिए यह समीकरण वास्तविक मूल नहीं रखता।

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Question 10/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(x^2+x+3=0\) के मूलों की प्रकृति क्या होगी?

What will be the nature of roots of \(x^2+x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=12-4(1)(3)=-11<0). Hence real roots will not be obtained.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=12-4(1)(3)=-11<0). Hence real roots will not be obtained.

Step 3

Exam Tip

(D=12-4(1)(3)=-11<0) है। इसलिए वास्तविक मूल नहीं मिलेंगे।

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Question 11/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

यदि (D=-7) हो तो मूलों की प्रकृति क्या होगी?

If (D=-7), what will be the nature of roots?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(-7<0), so there will be no real roots. Never treat negative (D) as equal roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (-7<0), so there will be no real roots. Never treat negative (D) as equal roots.

Step 3

Exam Tip

(-7<0) है, इसलिए वास्तविक मूल नहीं होंगे। ऋणात्मक (D) को कभी समान मूल न मानें।

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Question 12/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

किस समीकरण के वास्तविक मूल नहीं होंगे?

Which equation will have no real roots?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x+5=0\)

Step 1

Concept

For the first equation, (D=32-4(1)(5)=-11<0). A negative discriminant gives no real roots.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+3x+5=0\). For the first equation, (D=32-4(1)(5)=-11<0). A negative discriminant gives no real roots.

Step 3

Exam Tip

पहले समीकरण में (D=32-4(1)(5)=-11<0) है। ऋणात्मक विविक्तकर वास्तविक मूल नहीं देता।

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Question 13/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(5x^2+x+1=0\) के लिए मूलों की प्रकृति चुनिए।

Choose the nature of roots for \(5x^2+x+1=0\).

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

(D=12-4(5)(1)=-19<0). Therefore the equation has no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. (D=12-4(5)(1)=-19<0). Therefore the equation has no real roots.

Step 3

Exam Tip

(D=12-4(5)(1)=-19<0) है। इसलिए कोई वास्तविक मूल नहीं है।

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Question 14/60 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(x^2+2x+5=0\) के मूलों के बारे में सही कथन क्या है?

Which statement is correct about the roots of \(x^2+2x+5=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहींno real roots

Step 1

Concept

Here (D=22-4(1)(5)=-16<0). So there are no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं / no real roots. Here (D=22-4(1)(5)=-16<0). So there are no real roots.

Step 3

Exam Tip

यहां (D=22-4(1)(5)=-16<0) है। इसलिए वास्तविक मूल नहीं हैं।

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Question 15/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(7x^2-14x+19=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(7x^2-14x+19=0\)?

Explanation opens after your attempt
Correct Answer

A. (7(x-1)2+12=0)

Step 1

Concept

(7x-2-14x+19=7(x-1)2+12), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. (7(x-1)2+12=0). (7x-2-14x+19=7(x-1)2+12), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 3

Exam Tip

(7x-2-14x+19=7(x-1)2+12), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति दिखती है।

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Question 16/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(7x^2-14x+19=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(7x^2-14x+19=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-14)2-4(7)(19)=-336<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-14)2-4(7)(19)=-336<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-14)2-4(7)(19)=-336<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ वास्तविक मूल नहीं है।

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Question 17/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(6x^2-12x+17=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(6x^2-12x+17=0\)?

Explanation opens after your attempt
Correct Answer

A. (6(x-1)2+11=0)

Step 1

Concept

(6x-2-12x+17=6(x-1)2+11), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. (6(x-1)2+11=0). (6x-2-12x+17=6(x-1)2+11), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 3

Exam Tip

(6x-2-12x+17=6(x-1)2+11), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति दिखती है।

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Question 18/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(6x^2-12x+17=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(6x^2-12x+17=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-12)2-4(6)(17)=-264<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-12)2-4(6)(17)=-264<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-12)2-4(6)(17)=-264<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ वास्तविक मूल नहीं है।

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Question 19/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(5x^2-10x+13=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(5x^2-10x+13=0\)?

Explanation opens after your attempt
Correct Answer

A. (5(x-1)2+8=0)

Step 1

Concept

(5x-2-10x+13=5(x-1)2+8), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. (5(x-1)2+8=0). (5x-2-10x+13=5(x-1)2+8), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 3

Exam Tip

(5x-2-10x+13=5(x-1)2+8), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति दिखती है।

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Question 20/60 Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(5x^2-10x+13=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(5x^2-10x+13=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-10)2-4(5)(13)=-160<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-10)2-4(5)(13)=-160<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-10)2-4(5)(13)=-160<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ वास्तविक मूल नहीं है।

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Question 21/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(4x^2-8x+9=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(4x^2-8x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. (4(x-1)2+5=0)

Step 1

Concept

(4x-2-8x+9=4(x-1)2+5), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. (4(x-1)2+5=0). (4x-2-8x+9=4(x-1)2+5), so it cannot be zero for real (x). In exams, completed square form also shows the nature of roots.

Step 3

Exam Tip

(4x-2-8x+9=4(x-1)2+5), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति दिखती है।

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Question 22/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(4x^2-8x+9=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(4x^2-8x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-8)2-4(4)(9)=-80<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-8)2-4(4)(9)=-80<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-8)2-4(4)(9)=-80<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ वास्तविक मूल नहीं है।

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Question 23/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(3x^2-6x+7=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(3x^2-6x+7=0\)?

Explanation opens after your attempt
Correct Answer

A. (3(x-1)2+4=0)

Step 1

Concept

(3x-2-6x+7=3(x-1)2+4), so it cannot be zero for real (x). In exams, completed square form also shows the nature of real roots.

Step 2

Why this answer is correct

The correct answer is A. (3(x-1)2+4=0). (3x-2-6x+7=3(x-1)2+4), so it cannot be zero for real (x). In exams, completed square form also shows the nature of real roots.

Step 3

Exam Tip

(3x-2-6x+7=3(x-1)2+4), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी वास्तविक मूलों की प्रकृति दिखती है।

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Question 24/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(3x^2-6x+7=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(3x^2-6x+7=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-6)2-4(3)(7)=-48<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-6)2-4(3)(7)=-48<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-6)2-4(3)(7)=-48<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ वास्तविक मूल नहीं है।

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Question 25/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(2x^2-4x+5=0\) में पूर्ण वर्ग रूप कौनसा सही है?

Which completed square form is correct for \(2x^2-4x+5=0\)?

Explanation opens after your attempt
Correct Answer

A. (2(x-1)2+3=0)

Step 1

Concept

(2x-2-4x+5=2(x-1)2+3), so it cannot be zero for real (x). In exams, completed square form also shows no real roots.

Step 2

Why this answer is correct

The correct answer is A. (2(x-1)2+3=0). (2x-2-4x+5=2(x-1)2+3), so it cannot be zero for real (x). In exams, completed square form also shows no real roots.

Step 3

Exam Tip

(2x-2-4x+5=2(x-1)2+3), इसलिए यह वास्तविक (x) के लिए शून्य नहीं हो सकता। परीक्षा में पूर्ण वर्ग रूप से भी no real roots दिखता है।

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Question 26/60 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(2x^2-4x+5=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(2x^2-4x+5=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं हैंThere are no real roots

Step 1

Concept

Here (D=(-4)2-4(2)(5)=-24<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं हैं / There are no real roots. Here (D=(-4)2-4(2)(5)=-24<0), so there are no real roots. In exams, (D<0) means no real roots.

Step 3

Exam Tip

यहां (D=(-4)2-4(2)(5)=-24<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) का अर्थ no real roots है।

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Question 27/60 Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(x^2-6x+18=0\) में पूर्ण वर्ग बनाने पर कौनसा रूप बनेगा?

What form is obtained by completing the square in \(x^2-6x+18=0\)?

Explanation opens after your attempt
Correct Answer

A. ((x-3)2+9=0)

Step 1

Concept

(x-2-6x+18=(x-3)2+9), so no real roots are obtained. In exams, use completed square form to understand the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. ((x-3)2+9=0). (x-2-6x+18=(x-3)2+9), so no real roots are obtained. In exams, use completed square form to understand the nature of roots.

Step 3

Exam Tip

(x-2-6x+18=(x-3)2+9), इसलिए वास्तविक मूल नहीं मिलते। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति समझें।

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Question 28/60 Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

\(x^2-6x+18=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(x^2-6x+18=0\)?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

Here (D=(-6)2-4(1)(18)=-36<0), so there are no real roots. In exams, (D<0) means no real solution.

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक मूल नहीं / No real roots. Here (D=(-6)2-4(1)(18)=-36<0), so there are no real roots. In exams, (D<0) means no real solution.

Step 3

Exam Tip

यहां (D=(-6)2-4(1)(18)=-36<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) होने पर वास्तविक हल नहीं मिलता।

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Question 29/60 Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(x^2-4x+13=0\) में पूर्ण वर्ग बनाने पर कौनसा रूप बनेगा?

What form is obtained by completing the square in \(x^2-4x+13=0\)?

Explanation opens after your attempt
Correct Answer

A. ((x-2)2+9=0)

Step 1

Concept

(x-2-4x+13=(x-2)2+9), so no real roots are obtained. In exams, use completed square form to understand the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. ((x-2)2+9=0). (x-2-4x+13=(x-2)2+9), so no real roots are obtained. In exams, use completed square form to understand the nature of roots.

Step 3

Exam Tip

(x-2-4x+13=(x-2)2+9), इसलिए वास्तविक मूल नहीं मिलते। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति समझें।

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Question 30/60 Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(x^2-4x+13=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about real roots of \(x^2-4x+13=0\)?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

Here (D=(-4)2-4(1)(13)=-36<0), so there are no real roots. In exams, (D<0) means no real solution.

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक मूल नहीं / No real roots. Here (D=(-4)2-4(1)(13)=-36<0), so there are no real roots. In exams, (D<0) means no real solution.

Step 3

Exam Tip

यहां (D=(-4)2-4(1)(13)=-36<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) होने पर वास्तविक हल नहीं मिलता।

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