14 results found for "distinct-real-roots" in Class 10.
Question
Easy Mathematics
Quadratic Equations Nature of Roots Class 10 Level 37
यदि किसी द्विघात समीकरण के दो असमान वास्तविक मूल हैं, तो (D) कैसा होगा?
If a quadratic equation has two distinct real roots, how will (D) be?
Explanation opens after your attempt
Step 1
Concept
For distinct real roots, (D>0). Do not add the equality sign by mistake.
Step 2
Why this answer is correct
The correct answer is A. (D>0). For distinct real roots, (D>0). Do not add the equality sign by mistake.
Step 3
Exam Tip
असमान वास्तविक मूलों के लिए (D>0) होता है। बराबर का चिन्ह गलती से न लगाएं।
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Question
Easy Mathematics
Quadratic Equations Nature of Roots Class 10 Level 37
यदि (D=0) और \(a\neq0\) हो तो द्विघात समीकरण में कितने अलग-अलग वास्तविक मूल होंगे?
If (D=0) and \(a\neq0\), how many distinct real roots will the quadratic equation have?
Explanation opens after your attempt
Step 1
Concept
At (D=0), both roots are equal, so the number of distinct real roots is (1). Remember the root is repeated.
Step 2
Why this answer is correct
The correct answer is A. (1). At (D=0), both roots are equal, so the number of distinct real roots is (1). Remember the root is repeated.
Step 3
Exam Tip
(D=0) पर दोनों मूल समान होते हैं, इसलिए अलग-अलग वास्तविक मूलों की संख्या (1) है। ध्यान रखें मूल दो बार दोहरता 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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-16x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (256-4n>0) and (n<64). In exams, connect (D>0) with distinct real roots.
Step 2
Why this answer is correct
The correct answer is A. (n<64). For two distinct real roots, (D>0), so (256-4n>0) and (n<64). In exams, connect (D>0) with distinct real roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (256-4n>0) और (n<64) है। परीक्षा में (D>0) को अलग वास्तविक मूल से जोड़ें।
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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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-14x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (196-4n>0) and (n<49). In exams, connect (D>0) with distinct real roots.
Step 2
Why this answer is correct
The correct answer is A. (n<49). For two distinct real roots, (D>0), so (196-4n>0) and (n<49). In exams, connect (D>0) with distinct real roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (196-4n>0) और (n<49) है। परीक्षा में (D>0) को अलग वास्तविक मूल से जोड़ें।
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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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-12x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (144-4n>0) and (n<36). In exams, connect (D>0) with distinct real roots.
Step 2
Why this answer is correct
The correct answer is A. (n<36). For two distinct real roots, (D>0), so (144-4n>0) and (n<36). In exams, connect (D>0) with distinct real roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (144-4n>0) और (n<36) है। परीक्षा में (D>0) को अलग वास्तविक मूल से जोड़ें।
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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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-10x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (100-4n>0) and (n<25). In exams, connect (D>0) with distinct real roots.
Step 2
Why this answer is correct
The correct answer is A. (n<25). For two distinct real roots, (D>0), so (100-4n>0) and (n<25). In exams, connect (D>0) with distinct real roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (100-4n>0) और (n<25) है। परीक्षा में (D>0) को अलग वास्तविक मूल से जोड़ें।
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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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-8x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (64-4n>0) and (n<16). In exams, connect (D>0) with distinct real roots.
Step 2
Why this answer is correct
The correct answer is A. (n<16). For two distinct real roots, (D>0), so (64-4n>0) and (n<16). In exams, connect (D>0) with distinct real roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (64-4n>0) और (n<16) है। परीक्षा में (D>0) को अलग वास्तविक मूल से जोड़ें।
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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 दो अलग वास्तविक मूल हैं, तो (n) के लिए कौनसी शर्त सही है?
If \(x^2-4x+n=0\) has two distinct real roots, which condition on (n) is correct?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0), so (16-4n>0) and (n<4). In exams, connect (D>0) with distinct roots.
Step 2
Why this answer is correct
The correct answer is A. (n<4). For two distinct real roots, (D>0), so (16-4n>0) and (n<4). In exams, connect (D>0) with distinct roots.
Step 3
Exam Tip
दो अलग वास्तविक मूलों के लिए (D>0), इसलिए (16-4n>0) और (n<4) है। परीक्षा में (D>0) को distinct roots से जोड़ें।
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Question
Easy Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33
किस स्थिति में द्विघात समीकरण के दो भिन्न वास्तविक मूल होते हैं?
In which condition does a quadratic equation have two distinct real roots?
Explanation opens after your attempt
Step 1
Concept
For two distinct real roots, (D>0) is required. This is a direct rule to check the nature.
Step 2
Why this answer is correct
The correct answer is C. (D>0). For two distinct real roots, (D>0) is required. This is a direct rule to check the nature.
Step 3
Exam Tip
दो भिन्न वास्तविक मूलों के लिए (D>0) होना चाहिए। यह प्रकृति जांचने का सीधा नियम है।
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Question
Expert Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
समीकरण \(x^2-20x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?
If the roots of \(x^2-20x+k=0\) are real and distinct, what is the correct condition on (k)?
Explanation opens after your attempt
Correct Answer
A. (k<100)
Step 1
Concept
For real and distinct roots, (D>0) is needed. Here (400-4k>0), so (k<100).
Step 2
Why this answer is correct
The correct answer is A. (k<100). For real and distinct roots, (D>0) is needed. Here (400-4k>0), so (k<100).
Step 3
Exam Tip
भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (400-4k>0), इसलिए (k<100)।
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Question
Expert Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
समीकरण \(x^2-16x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?
If the roots of \(x^2-16x+k=0\) are real and distinct, what is the correct condition on (k)?
Explanation opens after your attempt
Step 1
Concept
For real and distinct roots, (D>0) is needed. Here (256-4k>0), so (k<64).
Step 2
Why this answer is correct
The correct answer is A. (k<64). For real and distinct roots, (D>0) is needed. Here (256-4k>0), so (k<64).
Step 3
Exam Tip
भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (256-4k>0), इसलिए (k<64)।
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Question
Expert Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
समीकरण \(x^2-12x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?
If the roots of \(x^2-12x+k=0\) are real and distinct, what is the correct condition on (k)?
Explanation opens after your attempt
Step 1
Concept
For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).
Step 2
Why this answer is correct
The correct answer is A. (k<36). For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).
Step 3
Exam Tip
भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (144-4k>0), इसलिए (k<36)।
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Question
Hard Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
समीकरण \(x^2-8x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?
If the roots of \(x^2-8x+k=0\) are real and distinct, what is the correct condition on (k)?
Explanation opens after your attempt
Step 1
Concept
For real and distinct 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 real and distinct roots, (D>0) is needed. Here (64-4k>0), so (k<16).
Step 3
Exam Tip
भिन्न वास्तविक मूलों 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 \(x^2-6x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?
If the roots of \(x^2-6x+k=0\) are real and distinct, what is the correct condition on (k)?
Explanation opens after your attempt
Step 1
Concept
For real and distinct roots, (D>0) is needed. Here (36-4k>0), so (k<9).
Step 2
Why this answer is correct
The correct answer is A. (k<9). For real and distinct roots, (D>0) is needed. Here (36-4k>0), so (k<9).
Step 3
Exam Tip
भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (36-4k>0), इसलिए (k<9)।
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