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44 results found for "no-real-roots" in Class 10.

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

यदि \(x^2-16x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-16x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>64)

Step 1

Concept

For no real roots, (D<0), so (256-4n<0) and (n>64). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>64). For no real roots, (D<0), so (256-4n<0) and (n>64). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (256-4n<0) और (n>64) है। परीक्षा में (D<0) को वास्तविक मूल नहीं से जोड़ें।

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

यदि \(x^2-14x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-14x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>49)

Step 1

Concept

For no real roots, (D<0), so (196-4n<0) and (n>49). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>49). For no real roots, (D<0), so (196-4n<0) and (n>49). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (196-4n<0) और (n>49) है। परीक्षा में (D<0) को वास्तविक मूल नहीं से जोड़ें।

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

यदि \(x^2-12x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-12x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>36)

Step 1

Concept

For no real roots, (D<0), so (144-4n<0) and (n>36). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>36). For no real roots, (D<0), so (144-4n<0) and (n>36). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (144-4n<0) और (n>36) है। परीक्षा में (D<0) को वास्तविक मूल नहीं से जोड़ें।

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

यदि \(x^2-10x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-10x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>25)

Step 1

Concept

For no real roots, (D<0), so (100-4n<0) and (n>25). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>25). For no real roots, (D<0), so (100-4n<0) and (n>25). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (100-4n<0) और (n>25) है। परीक्षा में (D<0) को वास्तविक मूल नहीं से जोड़ें।

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

यदि \(x^2-8x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-8x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>16)

Step 1

Concept

For no real roots, (D<0), so (64-4n<0) and (n>16). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>16). For no real roots, (D<0), so (64-4n<0) and (n>16). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (64-4n<0) और (n>16) है। परीक्षा में (D<0) को वास्तविक मूल नहीं से जोड़ें।

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

यदि \(x^2-4x+n=0\) के वास्तविक मूल नहीं हैं, तो (n) के लिए कौनसी शर्त सही है?

If \(x^2-4x+n=0\) has no real roots, which condition on (n) is correct?

Explanation opens after your attempt
Correct Answer

A. (n>4)

Step 1

Concept

For no real roots, (D<0), so (16-4n<0) and (n>4). In exams, connect (D<0) with no real roots.

Step 2

Why this answer is correct

The correct answer is A. (n>4). For no real roots, (D<0), so (16-4n<0) and (n>4). In exams, connect (D<0) with no real roots.

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0), इसलिए (16-4n<0) और (n>4) है। परीक्षा में (D<0) को no real roots से जोड़ें।

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Question 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 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 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 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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Question Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

\(x^2-2x+5=0\) में पूर्ण वर्ग बनाने पर कौनसा रूप बनेगा?

What form is obtained by completing the square in \(x^2-2x+5=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

(x-2-2x+5=(x-1)2+4), so no real roots are obtained. In exams, the completed square form also shows the nature of roots.

Step 2

Why this answer is correct

The correct answer is A. ((x-1)2+4=0). (x-2-2x+5=(x-1)2+4), so no real roots are obtained. In exams, the completed square form also shows the nature of roots.

Step 3

Exam Tip

(x-2-2x+5=(x-1)2+4), इसलिए वास्तविक मूल नहीं मिलते। परीक्षा में पूर्ण वर्ग रूप से भी मूलों की प्रकृति समझ सकते हैं।

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Question Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

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

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

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

Here (D=(-2)2-4(1)(5)=-16<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=(-2)2-4(1)(5)=-16<0), so there are no real roots. In exams, (D<0) means no real solution.

Step 3

Exam Tip

यहां (D=(-2)2-4(1)(5)=-16<0), इसलिए वास्तविक मूल नहीं हैं। परीक्षा में (D<0) होने पर वास्तविक हल नहीं मिलता।

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

\(x^2+36=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about the real roots of \(x^2+36=0\)?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

\(x^2=-36\) is not possible in real numbers. In exams, \(x^2\) is not negative for real (x).

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक मूल नहीं / No real roots. \(x^2=-36\) is not possible in real numbers. In exams, \(x^2\) is not negative for real (x).

Step 3

Exam Tip

\(x^2=-36\) वास्तविक संख्याओं में संभव नहीं है। परीक्षा में \(x^2\) का मान वास्तविक (x) के लिए ऋणात्मक नहीं होता।

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

यदि किसी द्विघात समीकरण में (D=-9) हो, तो कौनसा निष्कर्ष सही है?

If a quadratic equation has (D=-9), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं होंगेThere will be no real roots

Step 1

Concept

When (D<0), no real square root is obtained. In exams, remember the meaning of a negative discriminant.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं होंगे / There will be no real roots. When (D<0), no real square root is obtained. In exams, remember the meaning of a negative discriminant.

Step 3

Exam Tip

(D<0) होने पर वास्तविक वर्गमूल नहीं मिलता। परीक्षा में ऋणात्मक विविक्तकर का अर्थ याद रखें।

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Question Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

\(x^2+25=0\) के वास्तविक मूलों के बारे में सही कथन क्या है?

What is the correct statement about the real roots of \(x^2+25=0\)?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

\(x^2=-25\) is not possible in real numbers. In exams, \(x^2\) is not negative for real (x).

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक मूल नहीं / No real roots. \(x^2=-25\) is not possible in real numbers. In exams, \(x^2\) is not negative for real (x).

Step 3

Exam Tip

\(x^2=-25\) वास्तविक संख्याओं में संभव नहीं है। परीक्षा में \(x^2\) का मान वास्तविक (x) के लिए ऋणात्मक नहीं होता।

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Question Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

यदि किसी द्विघात समीकरण में (D=-4) हो, तो कौनसा निष्कर्ष सही है?

If a quadratic equation has (D=-4), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. वास्तविक मूल नहीं होंगेThere will be no real roots

Step 1

Concept

When (D<0), no real square root is obtained. In exams, remember the meaning of a negative discriminant.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक मूल नहीं होंगे / There will be no real roots. When (D<0), no real square root is obtained. In exams, remember the meaning of a negative discriminant.

Step 3

Exam Tip

(D<0) होने पर वास्तविक वर्गमूल नहीं मिलता। परीक्षा में ऋणात्मक विविक्तकर का अर्थ याद रखें।

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Question Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

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

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

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक मूल नहींNo real roots

Step 1

Concept

\(x^2=-9\) gives no solution in real numbers. In exams, remember that \(x^2\) cannot be negative for real (x).

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक मूल नहीं / No real roots. \(x^2=-9\) gives no solution in real numbers. In exams, remember that \(x^2\) cannot be negative for real (x).

Step 3

Exam Tip

\(x^2=-9\) से वास्तविक संख्या में हल नहीं मिलता। परीक्षा में \(x^2\) ऋणात्मक नहीं हो सकता यह याद रखें।

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Question Hard Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

(x-2-2x+(p+3)=0) की वास्तविक जड़ें न हों, इसके लिए (p) पर सही शर्त क्या है?

For (x-2-2x+(p+3)=0) to have no real roots, what is the correct condition on (p)?

Explanation opens after your attempt
Correct Answer

A. (p>-2)

Step 1

Concept

For no real roots, (D<0) is required. Here (D=-4(p+2)), so (p>-2).

Step 2

Why this answer is correct

The correct answer is A. (p>-2). For no real roots, (D<0) is required. Here (D=-4(p+2)), so (p>-2).

Step 3

Exam Tip

वास्तविक जड़ें न होने के लिए (D<0) चाहिए। यहाँ (D=-4(p+2)), इसलिए (p>-2) है।

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Question Hard Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

\(5x^2-2x+1=0\) की जड़ों के बारे में सही कथन कौन-सा है?

Which statement is correct about the roots of \(5x^2-2x+1=0\)?

Explanation opens after your attempt
Correct Answer

C. वास्तविक जड़ें नहींNo real roots

Step 1

Concept

Here (D=(-2)2-4(5)(1)=-16<0). Therefore the equation has no real roots.

Step 2

Why this answer is correct

The correct answer is C. वास्तविक जड़ें नहीं / No real roots. Here (D=(-2)2-4(5)(1)=-16<0). Therefore the equation has no real roots.

Step 3

Exam Tip

यहाँ (D=(-2)2-4(5)(1)=-16<0) है। इसलिए इस समीकरण की वास्तविक जड़ें नहीं हैं।

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Question Hard Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि समीकरण (x-2-4x+(m+4)=0) के वास्तविक मूल नहीं हैं तो (m) के लिए कौन सी शर्त सही है?

If (x-2-4x+(m+4)=0) has no real roots, which condition on (m) is correct?

Explanation opens after your attempt
Correct Answer

A. (m>0)

Step 1

Concept

For no real roots (D<0) is required. From (16-4(m+4)<0), we get (m>0).

Step 2

Why this answer is correct

The correct answer is A. (m>0). For no real roots (D<0) is required. From (16-4(m+4)<0), we get (m>0).

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0) चाहिए। (16-4(m+4)<0) से (m>0) मिलता है।

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Question Hard Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि समीकरण (x-2-2x+(m+1)=0) के वास्तविक मूल नहीं हैं तो (m) के लिए कौन सी शर्त सही है?

If (x-2-2x+(m+1)=0) has no real roots, which condition on (m) is correct?

Explanation opens after your attempt
Correct Answer

A. (m>0)

Step 1

Concept

For no real roots (D<0) is required. From (4-4(m+1)<0), we get (m>0).

Step 2

Why this answer is correct

The correct answer is A. (m>0). For no real roots (D<0) is required. From (4-4(m+1)<0), we get (m>0).

Step 3

Exam Tip

वास्तविक मूल नहीं होने के लिए (D<0) चाहिए। (4-4(m+1)<0) से (m>0) मिलता है।

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Question Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

किस स्थिति में द्विघात समीकरण के कोई वास्तविक मूल नहीं होते?

In which condition does a quadratic equation have no real roots?

Explanation opens after your attempt
Correct Answer

C. (D<0)

Step 1

Concept

When (D<0), there are no real roots. This is a direct rule for the nature of roots.

Step 2

Why this answer is correct

The correct answer is C. (D<0). When (D<0), there are no real roots. This is a direct rule for the nature of roots.

Step 3

Exam Tip

जब (D<0) होता है तब वास्तविक मूल नहीं होते। यह मूलों की प्रकृति का सीधा नियम है।

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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण \(x^2+14x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+14x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>49)

Step 1

Concept

For no real roots, (D<0) is needed. Here (196-4k<0), so (k>49).

Step 2

Why this answer is correct

The correct answer is A. (k>49). For no real roots, (D<0) is needed. Here (196-4k<0), so (k>49).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (196-4k<0), इसलिए (k>49)।

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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(x^2+12x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+12x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>36)

Step 1

Concept

For no real roots, (D<0) is needed. Here (144-4k<0), so (k>36).

Step 2

Why this answer is correct

The correct answer is A. (k>36). For no real roots, (D<0) is needed. Here (144-4k<0), so (k>36).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (144-4k<0), इसलिए (k>36)।

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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2+10x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+10x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>25)

Step 1

Concept

For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

Step 2

Why this answer is correct

The correct answer is A. (k>25). For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (100-4k<0), इसलिए (k>25)।

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Question Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण \(x^2+8x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+8x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>16)

Step 1

Concept

For no real roots, (D<0) is needed. Here (64-4k<0), so (k>16).

Step 2

Why this answer is correct

The correct answer is A. (k>16). For no real roots, (D<0) is needed. Here (64-4k<0), so (k>16).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (64-4k<0), इसलिए (k>16)।

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Question Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(x^2+4x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+4x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>4)

Step 1

Concept

For no real roots, (D<0) is needed. Here (16-4k<0), so (k>4).

Step 2

Why this answer is correct

The correct answer is A. (k>4). For no real roots, (D<0) is needed. Here (16-4k<0), so (k>4).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (16-4k<0), इसलिए (k>4)।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि किसी द्विघात समीकरण का विवेचक (D<0) है तो वास्तविक मूलों के बारे में क्या सही है?

If the discriminant (D<0), what is true about real roots?

Explanation opens after your attempt
Correct Answer

C. कोई वास्तविक मूल नहीं होताIt has no real roots

Step 1

Concept

When (D<0), there are no real roots. A negative discriminant gives no roots on the real number line.

Step 2

Why this answer is correct

The correct answer is C. कोई वास्तविक मूल नहीं होता / It has no real roots. When (D<0), there are no real roots. A negative discriminant gives no roots on the real number line.

Step 3

Exam Tip

(D<0) होने पर वास्तविक मूल नहीं होते। विवेचक नकारात्मक हो तो वास्तविक संख्या रेखा पर मूल नहीं मिलते।

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