100 results found for "leading coefficient" in Class 10.
बहुपद (p(z)=-6z-5 +4z-4 -z+8) का अग्र गुणांक क्या है?
What is the leading coefficient of (p(z)=-6z-5 +4z-4 -z+8)?
#leading coefficient
#degree
#polynomial
A (-6)
B (4)
C (-1)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest power term \(z^5\) is (-6). The leading coefficient is written with its sign.
Step 2
Why this answer is correct
The correct answer is A. (-6). The coefficient of the highest power term \(z^5\) is (-6). The leading coefficient is written with its sign.
Step 3
Exam Tip
सबसे बड़ी घात \(z^5\) के पद का गुणांक (-6) है। अग्र गुणांक संकेत सहित लिखा जाता है।
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निम्न में से किस बहुपद में प्रमुख गुणांक (1) नहीं है?
Which of the following polynomials does not have leading coefficient (1)?
#leading-coefficient
#monic-polynomial
#classification
A \(x^3+2x+5\)
B \(x^2-4\)
C \(3x^2+x+1\)
D \(x^5-x\)
Explanation opens after your attempt
Correct Answer
C. \(3x^2+x+1\)
Step 1
Concept
The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).
Step 2
Why this answer is correct
The correct answer is C. \(3x^2+x+1\). The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).
Step 3
Exam Tip
\(3x^2+x+1\) का प्रमुख पद \(3x^2\) है। इसका प्रमुख गुणांक (3) है, (1) नहीं।
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बहुपद \(3x^4-5x^2+2x-8\) का प्रमुख गुणांक क्या है?
What is the leading coefficient of \(3x^4-5x^2+2x-8\)?
#leading-coefficient
#degree-four
#polynomial
A (3)
B (-5)
C (2)
D (-8)
Explanation opens after your attempt
Step 1
Concept
The leading term is \(3x^4\). Therefore the leading coefficient is (3).
Step 2
Why this answer is correct
The correct answer is A. (3). The leading term is \(3x^4\). Therefore the leading coefficient is (3).
Step 3
Exam Tip
प्रमुख पद \(3x^4\) है। इसलिए प्रमुख गुणांक (3) है।
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निम्न में से किस बहुपद का प्रमुख गुणांक (-2) है?
Which polynomial has leading coefficient (-2)?
#leading-coefficient
#cubic-polynomial
#easy
A \(5x^2-2x+1\)
B \(-2x^3+4x+7\)
C \(x^2-2\)
D (3x-2)
Explanation opens after your attempt
Correct Answer
B. \(-2x^3+4x+7\)
Step 1
Concept
The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).
Step 2
Why this answer is correct
The correct answer is B. \(-2x^3+4x+7\). The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).
Step 3
Exam Tip
\(-2x^3+4x+7\) का प्रमुख पद \(-2x^3\) है। इसलिए प्रमुख गुणांक (-2) है।
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बहुपद (p(y)=9y-4 -y-2 +5y-6) का अग्र गुणांक क्या है?
What is the leading coefficient of (p(y)=9y-4 -y-2 +5y-6)?
#leading coefficient
#degree
#polynomial
A (9)
B (-1)
C (5)
D (-6)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (9). The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.
Step 3
Exam Tip
सबसे बड़ी घात \(y^4\) के पद का गुणांक (9) है। अग्र गुणांक वही होता है।
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\(3x^2-5x+7\) में प्रमुख गुणांक क्या है?
What is the leading coefficient of \(3x^2-5x+7\)?
#leading-coefficient
#polynomial
A (3)
B (-5)
C (7)
D (2)
Explanation opens after your attempt
Step 1
Concept
The leading term is \(3x^2\), so the leading coefficient is (3). The coefficient of the highest degree term is the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (3). The leading term is \(3x^2\), so the leading coefficient is (3). The coefficient of the highest degree term is the leading coefficient.
Step 3
Exam Tip
प्रमुख पद \(3x^2\) है इसलिए प्रमुख गुणांक (3) है। सबसे बड़ी घात वाले पद का गुणांक प्रमुख गुणांक कहलाता है।
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बहुपद \(2x^2-7x+1\) में अग्र गुणांक क्या है?
What is the leading coefficient of \(2x^2-7x+1\)?
#polynomials
#leading-coefficient
#easy
A (2)
B (-7)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (2). The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 3
Exam Tip
सबसे बड़ी घात वाले पद \(2x^2\) का गुणांक (2) है। इसी को अग्र गुणांक कहते हैं।
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बहुपद \(6x^5+x^2-4\) का अग्र गुणांक क्या है?
What is the leading coefficient of \(6x^5+x^2-4\)?
#leading_coefficient
#polynomials
#degree
A (6)
B (1)
C \(-4\)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(6x^5\) है। इसलिए अग्र गुणांक (6) है।
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दर्शक की नजर को गलत दिशा में ले जाती रेखाएं रचना को कैसे नुकसान पहुंचा सकती हैं?
How can lines leading viewer's eye in the wrong direction harm composition?
#leading lines
#composition
#attention
A वे मुख्य विषय से ध्यान हटा सकती हैं / They can take attention away from main subject
B वे हमेशा गहराई बढ़ाती हैं / They always increase depth
C वे रंग को हल्का करती हैं / They lighten colour
D वे बनावट छूने योग्य बनाती हैं / They make texture touchable
Explanation opens after your attempt
Correct Answer
A. वे मुख्य विषय से ध्यान हटा सकती हैं / They can take attention away from main subject
Step 1
Concept
Directional lines control attention flow. Exam tip: connect leading lines with focal point.
Step 2
Why this answer is correct
The correct answer is A. वे मुख्य विषय से ध्यान हटा सकती हैं / They can take attention away from main subject. Directional lines control attention flow. Exam tip: connect leading lines with focal point.
Step 3
Exam Tip
दिशात्मक रेखाएं attention flow नियंत्रित करती हैं। परीक्षा में leading lines को focal point से जोड़ें।
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यदि \(2x^2+5x-3\) को अवरोही घातों में लिखा जाए, तो प्रमुख पद कौन सा है?
If \(2x^2+5x-3\) is written in descending powers, which is the leading term?
#leading-term
#descending-order
#quadratic
A \(2x^2\)
B (5x)
C (-3)
D \(x^2\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2\)
Step 1
Concept
The term with highest power (2) is \(2x^2\). The leading term is always the full term with the greatest power.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2\). The term with highest power (2) is \(2x^2\). The leading term is always the full term with the greatest power.
Step 3
Exam Tip
सबसे बड़ी घात (2) वाला पद \(2x^2\) है। प्रमुख पद हमेशा सबसे बड़ी घात वाला पूरा पद होता है।
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बहुपद \(x^4+2x^3+x^2+x+1\) में प्रमुख पद कौन सा है?
What is the leading term in \(x^4+2x^3+x^2+x+1\)?
#leading-term
#highest-degree
A (1)
B (x)
C \(2x^3\)
D \(x^4\)
Explanation opens after your attempt
Correct Answer
D. \(x^4\)
Step 1
Concept
The term with the highest power is \(x^4\). To identify the leading term, check the powers.
Step 2
Why this answer is correct
The correct answer is D. \(x^4\). The term with the highest power is \(x^4\). To identify the leading term, check the powers.
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(x^4\) है। प्रमुख पद पहचानने के लिए घातों को देखें।
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(p(x)=x-3 +2x-2 +x) में अग्र पद कौन सा है?
What is the leading term of (p(x)=x-3 +2x-2 +x)?
#polynomials
#leading-term
#easy
A \(x^3\)
B \(2x^2\)
C (x)
D (0)
Explanation opens after your attempt
Correct Answer
A. \(x^3\)
Step 1
Concept
The term with the highest power is \(x^3\). To identify the leading term, look for the highest power.
Step 2
Why this answer is correct
The correct answer is A. \(x^3\). The term with the highest power is \(x^3\). To identify the leading term, look for the highest power.
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(x^3\) है। अग्र पद पहचानने के लिए सबसे बड़ी घात देखें।
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किस विकल्प में जर्मनी और इटली के एकीकरण के नेतृत्वकारी राज्यों का सही मेल है?
Which option correctly matches the leading states in German and Italian unification?
#leading states
#prussia
#sardinia piedmont
#comparison
A जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia-Piedmont in Italy
B जर्मनी में फ्रांस और इटली में ऑस्ट्रिया / France in Germany and Austria in Italy
C जर्मनी में रोम और इटली में वर्साय / Rome in Germany and Versailles in Italy
D जर्मनी में सिसिली और इटली में डेनमार्क / Sicily in Germany and Denmark in Italy
Explanation opens after your attempt
Correct Answer
A. जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia-Piedmont in Italy
Step 1
Concept
Prussia was the most effective leading state in Germany.
Step 2
Why this answer is correct
Sardinia-Piedmont played this role in Italy.
Step 3
Exam Tip
This match is very important in comparison questions. चरण 1: जर्मनी में प्रशा सबसे प्रभावी नेतृत्वकारी राज्य था। चरण 2: इटली में सार्डिनिया पीडमॉंट ने यह भूमिका निभाई। चरण 3: तुलना वाले प्रश्नों में यह मेल बहुत महत्वपूर्ण है।
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किस विकल्प में जर्मनी और इटली के नेतृत्वकारी राज्यों का सही मेल है?
Which option correctly matches the leading states of Germany and Italy?
#leading-states
#prussia
#sardinia-piedmont
#comparison
A जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia Piedmont in Italy
B जर्मनी में रोम और इटली में वर्साय / Rome in Germany and Versailles in Italy
C जर्मनी में सिसिली और इटली में ऑस्ट्रिया / Sicily in Germany and Austria in Italy
D जर्मनी में फ्रांस और इटली में ब्रिटेन / France in Germany and Britain in Italy
Explanation opens after your attempt
Correct Answer
A. जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia Piedmont in Italy
Step 1
Concept
Prussia gave military and political leadership in Germany.
Step 2
Why this answer is correct
Sardinia Piedmont led in Italy.
Step 3
Exam Tip
This comparison can often be asked in exams. चरण 1: जर्मनी में प्रशा ने सैनिक और राजनीतिक नेतृत्व दिया। चरण 2: इटली में सार्डिनिया पीडमॉंट ने नेतृत्व किया। चरण 3: यह तुलना परीक्षा में अक्सर पूछी जा सकती है।
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जर्मनी और इटली के एकीकरण में नेतृत्वकारी राज्यों की भूमिका से कौन सा निष्कर्ष निकलता है?
What conclusion follows from the role of leading states in German and Italian unification?
#leading-states
#prussia
#sardinia-piedmont
#nationalism
A राष्ट्रीय भावना को सफल बनाने में संगठित राज्य शक्ति निर्णायक बन सकती है / Organized state power can become decisive in making national feeling successful
B राष्ट्रवाद हमेशा बिना नेतृत्व के सफल होता है / Nationalism always succeeds without leadership
C राज्य शक्ति राष्ट्रवाद को कभी सहायता नहीं देती / State power never helps nationalism
D एकीकरण केवल साहित्य से पूरा होता है / Unification is completed only through literature
Explanation opens after your attempt
Correct Answer
A. राष्ट्रीय भावना को सफल बनाने में संगठित राज्य शक्ति निर्णायक बन सकती है / Organized state power can become decisive in making national feeling successful
Step 1
Concept
Prussia led in Germany.
Step 2
Why this answer is correct
Sardinia Piedmont led in Italy.
Step 3
Exam Tip
Both show that a strong state can be decisive in unification. चरण 1: जर्मनी में प्रशा ने नेतृत्व दिया। चरण 2: इटली में सार्डिनिया पीडमॉंट ने नेतृत्व दिया। चरण 3: दोनों से पता चलता है कि मजबूत राज्य एकीकरण में निर्णायक हो सकता है।
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किस विकल्प में जर्मनी और इटली के नेतृत्वकारी राज्य सही रूप में दिए गए हैं?
Which option correctly gives the leading states of Germany and Italy?
#leading-states
#prussia
#sardinia-piedmont
#comparison
A जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia Piedmont in Italy
B जर्मनी में सिसिली और इटली में प्रशा / Sicily in Germany and Prussia in Italy
C जर्मनी में रोम और इटली में वर्साय / Rome in Germany and Versailles in Italy
D जर्मनी में फ्रांस और इटली में ब्रिटेन / France in Germany and Britain in Italy
Explanation opens after your attempt
Correct Answer
A. जर्मनी में प्रशा और इटली में सार्डिनिया पीडमॉंट / Prussia in Germany and Sardinia Piedmont in Italy
Step 1
Concept
Prussia gave central leadership in German unification.
Step 2
Why this answer is correct
Sardinia Piedmont became the main centre in Italian unification.
Step 3
Exam Tip
This comparison is very useful for exams. चरण 1: जर्मन एकीकरण में प्रशा ने केंद्रीय नेतृत्व दिया। चरण 2: इतालवी एकीकरण में सार्डिनिया पीडमॉंट मुख्य केंद्र बना। चरण 3: यह तुलना परीक्षा में बहुत उपयोगी है।
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जर्मनी और इटली के एकीकरण में नेतृत्वकारी राज्यों की समानता क्या थी?
What was the similarity of leading states in German and Italian unification?
#leading-states
#prussia
#sardinia-piedmont
#comparison
A दोनों ने राष्ट्रवादी लक्ष्य को संगठित राज्य शक्ति से आगे बढ़ाया / Both advanced nationalist goals through organized state power
B दोनों ने राष्ट्रवाद को पूरी तरह रोका / Both completely stopped nationalism
C दोनों ने विदेशी उपनिवेश बनना स्वीकार किया / Both accepted becoming foreign colonies
D दोनों ने केवल धार्मिक सुधार किए / Both carried out only religious reforms
Explanation opens after your attempt
Correct Answer
A. दोनों ने राष्ट्रवादी लक्ष्य को संगठित राज्य शक्ति से आगे बढ़ाया / Both advanced nationalist goals through organized state power
Step 1
Concept
Prussia led in Germany.
Step 2
Why this answer is correct
Sardinia Piedmont led in Italy.
Step 3
Exam Tip
Both examples show that a strong state was important in making nationalism successful. चरण 1: जर्मनी में प्रशा ने नेतृत्व किया। चरण 2: इटली में सार्डिनिया पीडमॉंट ने नेतृत्व किया। चरण 3: दोनों उदाहरण दिखाते हैं कि राष्ट्रवाद को सफल बनाने में मजबूत राज्य महत्त्वपूर्ण था।
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जर्मनी और इटली के एकीकरण में नेतृत्वकारी राज्यों की भूमिका से कौन सा बड़ा निष्कर्ष निकलता है?
What broad conclusion follows from the role of leading states in the unification of Germany and Italy?
#leading-state
#nationalism
#germany
#italy
A राष्ट्रवादी भावनाओं को सफल करने के लिए संगठित राज्य शक्ति निर्णायक हो सकती है / Organized state power can be decisive in making nationalist feelings successful
B राष्ट्रवाद हमेशा बिना राज्य शक्ति के सफल होता है / Nationalism always succeeds without state power
C एकीकरण में कोई नेता या संस्था जरूरी नहीं होती / No leader or institution is needed in unification
D विदेशी शासन ही राष्ट्रवाद का लक्ष्य होता है / Foreign rule itself is the aim of nationalism
Explanation opens after your attempt
Correct Answer
A. राष्ट्रवादी भावनाओं को सफल करने के लिए संगठित राज्य शक्ति निर्णायक हो सकती है / Organized state power can be decisive in making nationalist feelings successful
Step 1
Concept
Prussia led in Germany.
Step 2
Why this answer is correct
Sardinia Piedmont led in Italy.
Step 3
Exam Tip
This shows that a strong state played an important role in making nationalism successful. चरण 1: जर्मनी में प्रशा ने नेतृत्व किया। चरण 2: इटली में सार्डिनिया पीडमॉंट ने नेतृत्व किया। चरण 3: इससे पता चलता है कि राष्ट्रवाद को सफल बनाने में मजबूत राज्य की भूमिका महत्त्वपूर्ण रही।
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यदि किसी द्विघात समीकरण की जड़ें (3) और (-2) हैं और \(x^2\) का गुणांक (2) है, तो समीकरण कौन-सा है?
If the roots of a quadratic equation are (3) and (-2), and the coefficient of \(x^2\) is (2), which is the equation?
#quadratic-roots
#forming-equation
#leading-coefficient
A \(2x^2-2x-12=0\)
B \(2x^2+2x-12=0\)
C \(2x^2-2x+12=0\)
D \(x^2-x-6=0\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-2x-12=0\)
Step 1
Concept
The monic equation is \(x^2-x-6=0\). Since the coefficient of \(x^2\) must be (2), multiply the whole equation by (2).
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-2x-12=0\). The monic equation is \(x^2-x-6=0\). Since the coefficient of \(x^2\) must be (2), multiply the whole equation by (2).
Step 3
Exam Tip
मॉनिक समीकरण \(x^2-x-6=0\) है। \(x^2\) का गुणांक (2) चाहिए, इसलिए पूरे समीकरण को (2) से गुणा करें।
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यदि शून्यक \(2\sqrt{2}\) और \(3\sqrt{2}\) हैं, तो बहुपद का स्थिर पद क्या होगा यदि अग्र गुणांक (1) है?
If the zeroes are \(2\sqrt{2}\) and \(3\sqrt{2}\), what is the constant term if the leading coefficient is (1)?
#constant-term
#product
#irrational-zeroes
A (12)
B \(5\sqrt{2}\)
C \(6\sqrt{2}\)
D (10)
Explanation opens after your attempt
Step 1
Concept
The constant term equals the product of the zeroes. (\(2\sqrt{2}\)\(3\sqrt{2}\)=12).
Step 2
Why this answer is correct
The correct answer is A. (12). The constant term equals the product of the zeroes. (\(2\sqrt{2}\)\(3\sqrt{2}\)=12).
Step 3
Exam Tip
स्थिर पद शून्यकों के गुणनफल के बराबर है। (\(2\sqrt{2}\)\(3\sqrt{2}\)=12) है।
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बहुपद \(2x^4+3x^2-5x+7\) में \(x^3\) के गुणांक और (x) के गुणांक का योग क्या है?
In \(2x^4+3x^2-5x+7\), what is the sum of the coefficient of \(x^3\) and the coefficient of (x)?
#coefficients
#missing-term
#sum
A (-5)
B (0)
C (5)
D (3)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 2
Why this answer is correct
The correct answer is A. (-5). The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 3
Exam Tip
\(x^3\) का गुणांक (0) और (x) का गुणांक (-5) है। योग (-5) है।
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समीकरण \(x^2+12x+36=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(x^2+12x+36=0\)?
#quadratic equations
#implicit coefficient
#coefficient
A (0)
B (1)
C (12)
D (36)
Explanation opens after your attempt
Step 1
Concept
When no number is written before \(x^2\), its coefficient is (1). This is often asked.
Step 2
Why this answer is correct
The correct answer is B. (1). When no number is written before \(x^2\), its coefficient is (1). This is often asked.
Step 3
Exam Tip
जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह अक्सर पूछी जाने वाली बात है।
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किस परिस्थिति में मार्गदर्शक रेखाएं रचना को कमजोर कर सकती हैं?
In which situation can leading lines weaken a composition?
#visual-art
#line
#hard
#class-10
A जब वे मुख्य विषय से दूर ले जाएं / When they lead away from the main subject
B जब वे विषय तक पहुंचाएं / When they lead to the subject
C जब वे संतुलित हों / When they are balanced
D जब वे नियंत्रित हों / When they are controlled
Explanation opens after your attempt
Correct Answer
A. जब वे मुख्य विषय से दूर ले जाएं / When they lead away from the main subject
Step 1
Concept
Lines leading away from the main subject can distract attention. In exams always check the direction of leading lines.
Step 2
Why this answer is correct
The correct answer is A. जब वे मुख्य विषय से दूर ले जाएं / When they lead away from the main subject. Lines leading away from the main subject can distract attention. In exams always check the direction of leading lines.
Step 3
Exam Tip
मुख्य विषय से दूर जाती रेखाएं ध्यान भटका सकती हैं। परीक्षा में मार्गदर्शक रेखा की दिशा जरूर जांचें।
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यदि किनारे पर रखा केंद्र बिंदु दर्शक की नजर को चित्र से बाहर ले जा रहा है तो क्या सुधार उचित है?
If an edge focal point is leading the eye outside the picture what correction is suitable?
#focal point
#edge
#visual flow
A किनारे को और खाली करना / Make edge more empty
B दृश्य मार्ग को भीतर की ओर मोड़ना / Turn visual path inward
C केंद्र को पूरी तरह मिटाना / Remove focus completely
D रंग योजना हटाना / Remove colour scheme
Explanation opens after your attempt
Correct Answer
B. दृश्य मार्ग को भीतर की ओर मोड़ना / Turn visual path inward
Step 1
Concept
Edge focus works when eye returns into composition. Exam tip: see placement and flow together.
Step 2
Why this answer is correct
The correct answer is B. दृश्य मार्ग को भीतर की ओर मोड़ना / Turn visual path inward. Edge focus works when eye returns into composition. Exam tip: see placement and flow together.
Step 3
Exam Tip
किनारे का केंद्र तभी सफल है जब नजर रचना में वापस आए। परीक्षा में placement और flow साथ देखें।
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एक चित्र में दर्शक की नजर को घर तक ले जाने वाली पगडंडी किस तत्व का अच्छा उदाहरण है?
A path leading the viewer's eye to a house is a good example of which element?
#directional line
#eye path
#composition
A दिशात्मक रेखा / Directional line
B गर्म रंग / Warm colour
C दानेदार बनावट / Grainy texture
D तटस्थ रंग / Neutral colour
Explanation opens after your attempt
Correct Answer
A. दिशात्मक रेखा / Directional line
Step 1
Concept
The path acts like a line and directs the eye. Exam tip: connect visual path with line.
Step 2
Why this answer is correct
The correct answer is A. दिशात्मक रेखा / Directional line. The path acts like a line and directs the eye. Exam tip: connect visual path with line.
Step 3
Exam Tip
पगडंडी रेखा की तरह आंख को दिशा देती है। परीक्षा में नजर के मार्ग को रेखा से जोड़ें।
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माओ त्से तुंग ने किस दल का नेतृत्व करते हुए चीन में सत्ता स्थापित की?
Mao Zedong established power in China while leading which party?
#world history
#famous leaders
#mao
A कुओमिन्तांग / Kuomintang
B लिबरल पार्टी / Liberal Party
C लेबर पार्टी / Labour Party
D चीनी कम्युनिस्ट पार्टी / Chinese Communist Party
Explanation opens after your attempt
Correct Answer
D. चीनी कम्युनिस्ट पार्टी / Chinese Communist Party
Step 1
Concept
Mao was the leader of the Chinese Communist Party. For exams, connect him with the founding of the People's Republic of China.
Step 2
Why this answer is correct
The correct answer is D. चीनी कम्युनिस्ट पार्टी / Chinese Communist Party. Mao was the leader of the Chinese Communist Party. For exams, connect him with the founding of the People's Republic of China.
Step 3
Exam Tip
माओ चीनी कम्युनिस्ट पार्टी के नेता थे। परीक्षा में उन्हें जनवादी चीन की स्थापना से जोड़ें।
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सुभाष चंद्र बोस किस संगठन के नेतृत्व के लिए प्रसिद्ध हैं?
Subhas Chandra Bose is famous for leading which organization?
#world history
#famous leaders
#subhas chandra bose
A रेड क्रॉस / Red Cross
B रॉयल नेवी / Royal Navy
C आजाद हिंद फौज / Indian National Army
D संयुक्त राष्ट्र / United Nations
Explanation opens after your attempt
Correct Answer
C. आजाद हिंद फौज / Indian National Army
Step 1
Concept
Subhas Chandra Bose is famous for leading the Indian National Army. For exams, also remember the slogan Jai Hind.
Step 2
Why this answer is correct
The correct answer is C. आजाद हिंद फौज / Indian National Army. Subhas Chandra Bose is famous for leading the Indian National Army. For exams, also remember the slogan Jai Hind.
Step 3
Exam Tip
सुभाष चंद्र बोस आजाद हिंद फौज के नेतृत्व के लिए प्रसिद्ध हैं। परीक्षा में नारा जय हिंद भी याद रखें।
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बहुपद (p(x)=2x-3 -7x-2 +4x-1) में अग्र पद कौन-सा है?
What is the leading term of (p(x)=2x-3 -7x-2 +4x-1)?
#leading_term
#degree
#polynomials
A \(2x^3\)
B \(-7x^2\)
C (4x)
D \(-1\)
Explanation opens after your attempt
Correct Answer
A. \(2x^3\)
Step 1
Concept
The term with the highest power is \(2x^3\). This is called the leading term.
Step 2
Why this answer is correct
The correct answer is A. \(2x^3\). The term with the highest power is \(2x^3\). This is called the leading term.
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(2x^3\) है। यही अग्र पद कहलाता है।
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सार्डिनिया पीडमॉंट की भूमिका को इटली में नेतृत्वकारी क्यों कहा जाता है?
Why is the role of Sardinia-Piedmont called leading in Italy?
#sardinia piedmont
#cavour
#victor emmanuel
#italy
A क्योंकि उसने ऑस्ट्रिया के अधीन रहना चुना / Because it chose to remain under Austria
B क्योंकि उसके राजा और प्रधानमंत्री ने एकीकरण को राजनीतिक दिशा दी / Because its king and prime minister gave political direction to unification
C क्योंकि उसने जर्मन संसद बनाई / Because it created the German Parliament
D क्योंकि उसने फ्रांस को इटली की राजधानी घोषित किया / Because it declared France the capital of Italy
Explanation opens after your attempt
Correct Answer
B. क्योंकि उसके राजा और प्रधानमंत्री ने एकीकरण को राजनीतिक दिशा दी / Because its king and prime minister gave political direction to unification
Step 1
Concept
Sardinia-Piedmont was a strong Italian state.
Step 2
Why this answer is correct
Victor Emmanuel and Cavour made it the center of unification.
Step 3
Exam Tip
Therefore, it is seen as playing a role similar to Prussia in Italy. चरण 1: सार्डिनिया पीडमॉंट इटली का मजबूत राज्य था। चरण 2: विक्टर इमैनुएल और कावूर ने इसे एकीकरण का केंद्र बनाया। चरण 3: इसलिए इसे इटली में प्रशा जैसी भूमिका वाला राज्य माना जाता है।
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किस विकल्प में जर्मनी और इटली के सही नेतृत्वकारी व्यक्तित्व दिए गए हैं?
Which option gives correct leading personalities of Germany and Italy?
#bismarck
#cavour
#leaders
#comparison
A जर्मनी में बिस्मार्क और इटली में कावूर / Bismarck in Germany and Cavour in Italy
B जर्मनी में गैरीबाल्डी और इटली में विलियम प्रथम / Garibaldi in Germany and William I in Italy
C जर्मनी में मेत्सिनी और इटली में बिस्मार्क / Mazzini in Germany and Bismarck in Italy
D जर्मनी में पोप और इटली में जोलफेराइन / Pope in Germany and Zollverein in Italy
Explanation opens after your attempt
Correct Answer
A. जर्मनी में बिस्मार्क और इटली में कावूर / Bismarck in Germany and Cavour in Italy
Step 1
Concept
Bismarck was the chief architect of German unification.
Step 2
Why this answer is correct
Cavour was the main political leader of Italian unification.
Step 3
Exam Tip
Therefore this pair is correct for exams. चरण 1: बिस्मार्क जर्मनी के एकीकरण का प्रमुख शिल्पकार था। चरण 2: कावूर इटली के एकीकरण का प्रमुख राजनीतिक नेता था। चरण 3: इसलिए यह युग्म परीक्षा के लिए सही है।
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ओटो वॉन बिस्मार्क किस देश के प्रमुख नेता थे?
Otto von Bismarck was a leading statesman of which country?
#bismarck
#prussia
#germany
#mcq
A प्रशिया / Prussia
B इटली / Italy
C ब्रिटेन / Britain
D यूनान / Greece
Explanation opens after your attempt
Correct Answer
A. प्रशिया / Prussia
Step 1
Concept
Bismarck was the Chancellor of Prussia.
Step 2
Why this answer is correct
He played a central role in uniting the German states.
Step 3
Exam Tip
Link Bismarck with Prussia and German unification in exams. चरण 1: बिस्मार्क प्रशिया के चांसलर थे। चरण 2: उन्होंने जर्मन राज्यों को एकजुट करने में मुख्य भूमिका निभाई। चरण 3: परीक्षा में बिस्मार्क को प्रशिया और जर्मन एकीकरण से जोड़ें।
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(p(x)=4x-6 -5x-4 +2x-2 -11) में \(x^5\) का गुणांक क्या है?
What is the coefficient of \(x^5\) in (p(x)=4x-6 -5x-4 +2x-2 -11)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (4)
D (-5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 3
Exam Tip
\(x^5\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^5\) मानें।
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((3x-2)\(2x^2+x-5\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((3x-2)\(2x^2+x-5\))?
#multiplication
#coefficient
#expansion
A (-1)
B (1)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), so the coefficient of \(x^2\) is (-1). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is A. (-1). ((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), so the coefficient of \(x^2\) is (-1). Combine like terms after expansion.
Step 3
Exam Tip
((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), इसलिए \(x^2\) का गुणांक (-1) है। विस्तार के बाद समान पद मिलाएं।
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(p(x)=5x-4 -3x-3 +2x-2 -x+8) और (q(x)=-2x-4 +7x-3 -5x-2 +4x-6) के योग में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in the sum of (p(x)=5x-4 -3x-3 +2x-2 -x+8) and (q(x)=-2x-4 +7x-3 -5x-2 +4x-6)?
#addition
#coefficient
#like terms
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (4). The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^3\) के गुणांक (-3) और (7) हैं, इसलिए योग (4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=3x-5 -2x-4 +7x-6) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=3x-5 -2x-4 +7x-6)?
#missing term
#coefficient
#polynomial
A (0)
B (3)
C (-2)
D (7)
Explanation opens after your attempt
Step 1
Concept
The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) मानें।
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((2x-1)\(x^2-3x+4\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((2x-1)\(x^2-3x+4\))?
#multiplication
#coefficient
#expansion
A (-7)
B (-6)
C (-5)
D (8)
Explanation opens after your attempt
Step 1
Concept
((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), so the coefficient is (-7). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is A. (-7). ((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), so the coefficient is (-7). Combine like terms after expansion.
Step 3
Exam Tip
((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), इसलिए गुणांक (-7) है। विस्तार के बाद समान पद मिलाएं।
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(p(x)=4x-3 -7x-2 +2x-5) और (q(x)=-x-3 +3x-2 -6x+9) के योग में (x) का गुणांक क्या है?
What is the coefficient of (x) in the sum of (p(x)=4x-3 -7x-2 +2x-5) and (q(x)=-x-3 +3x-2 -6x+9)?
#addition
#coefficient
#like terms
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is B. (-4). The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 3
Exam Tip
(x) के गुणांक (2) और (-6) हैं, इसलिए योग (-4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=2x-4 -3x-3 +5x-9) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -3x-3 +5x-9)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (-3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 3
Exam Tip
\(x^2\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^2\) मानें।
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((x-2)\(3x^2+4x-5\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((x-2)\(3x^2+4x-5\))?
#multiplication
#coefficient
#expansion
A (-4)
B (-2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), so the coefficient of \(x^2\) is (-2). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is B. (-2). ((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), so the coefficient of \(x^2\) is (-2). Combine like terms after expansion.
Step 3
Exam Tip
((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), इसलिए \(x^2\) का गुणांक (-2) है। विस्तार में समान पद मिलाएं।
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(p(x)=3x-3 -2x-2 +5x-1) और (q(x)=-x-3 +7x-2 -4x+6) के योग में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in the sum of (p(x)=3x-3 -2x-2 +5x-1) and (q(x)=-x-3 +7x-2 -4x+6)?
#addition
#coefficient
#like terms
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (5). The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^2\) के गुणांक (-2) और (7) हैं, जिनका योग (5) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=3x-3 -7x-2 +2x-11) में \(x^2\) के गुणांक और अचर पद का योग क्या है?
In (p(x)=3x-3 -7x-2 +2x-11), what is the sum of the coefficient of \(x^2\) and the constant term?
#coefficient
#constant term
#signs
A (-18)
B (-11)
C (-7)
D (4)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.
Step 2
Why this answer is correct
The correct answer is A. (-18). The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.
Step 3
Exam Tip
\(x^2\) का गुणांक (-7) और अचर पद (-11) है, इसलिए योग (-18) है। संकेत सहित जोड़ना न भूलें।
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(p(x)=7x-4 -2x-2 +9) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=7x-4 -2x-2 +9)?
#coefficient
#missing term
#quartic
A (7)
B (-2)
C (0)
D (9)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) समझें।
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बहुपद (p(x)=5x-3 +0x-2 -4x+12) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=5x-3 +0x-2 -4x+12)?
#coefficient
#missing term
#polynomial
A (0)
B (5)
C (-4)
D (12)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 3
Exam Tip
\(x^2\) वाला पद \(0x^2\) है इसलिए गुणांक (0) है। अनुपस्थित या शून्य पद का गुणांक (0) माना जाता है।
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(p(x)=8x-4 -5x-3 +2x-6) में \(x^4\) के पद का गुणांक क्या है?
What is the coefficient of the \(x^4\)-term in (p(x)=8x-4 -5x-3 +2x-6)?
#coefficient
#quartic term
#polynomial
A (8)
B (-5)
C (2)
D (-6)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the \(x^4\)-term \(8x^4\) is (8). Identify the power and coefficient separately.
Step 2
Why this answer is correct
The correct answer is A. (8). The coefficient of the \(x^4\)-term \(8x^4\) is (8). Identify the power and coefficient separately.
Step 3
Exam Tip
\(x^4\) वाले पद \(8x^4\) का गुणांक (8) है। घात और गुणांक को अलग पहचानें।
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यदि (p(x)=9x-2 +cx-5) में (x) का गुणांक (-4) है, तो (c) क्या है?
If the coefficient of (x) in (p(x)=9x-2 +cx-5) is (-4), what is (c)?
#coefficient
#parameter
#polynomial
A (-9)
B (-5)
C (-4)
D (4)
Explanation opens after your attempt
Step 1
Concept
In (cx), the coefficient of (x) is (c). It is given that (c=-4).
Step 2
Why this answer is correct
The correct answer is C. (-4). In (cx), the coefficient of (x) is (c). It is given that (c=-4).
Step 3
Exam Tip
(cx) में (x) का गुणांक (c) है। दिया है कि (c=-4)।
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(p(x)=5x-3 -8x-2 +13x-21) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=5x-3 -8x-2 +13x-21)?
#coefficient
#sign
#polynomial
A (5)
B (-8)
C (13)
D (-21)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.
Step 2
Why this answer is correct
The correct answer is B. (-8). The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.
Step 3
Exam Tip
\(x^2\) वाले पद \(-8x^2\) का गुणांक (-8) है। संकेत सहित गुणांक लिखना जरूरी है।
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यदि \(x^3+2x^2+cx+5\) में (x) का गुणांक (6) है, तो (c+5) क्या होगा?
If the coefficient of (x) in \(x^3+2x^2+cx+5\) is (6), what will be (c+5)?
#coefficient
#parameter
#evaluation
A (6)
B (9)
C (11)
D (15)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (c=6). Therefore (c+5=11).
Step 2
Why this answer is correct
The correct answer is C. (11). The coefficient of (x) is (c=6). Therefore (c+5=11).
Step 3
Exam Tip
(x) का गुणांक (c=6) है। इसलिए (c+5=11) होगा।
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निम्न में से किस बहुपद में (x) का गुणांक (0) है?
In which of the following polynomials is the coefficient of (x) equal to (0)?
#coefficient
#missing-x-term
#polynomial
A \(x^2+5x+6\)
B \(3x^2-4\)
C \(2x^3+x-1\)
D (7x-9)
Explanation opens after your attempt
Correct Answer
B. \(3x^2-4\)
Step 1
Concept
In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).
Step 2
Why this answer is correct
The correct answer is B. \(3x^2-4\). In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).
Step 3
Exam Tip
\(3x^2-4\) में (x) का पद नहीं है। इसलिए (x) का गुणांक (0) है।
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बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?
#missing-term
#coefficient
#degree
A (7)
B (-3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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यदि (p(x)=2x-3 +mx-2 -x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?
If the coefficient of \(x^2\) in (p(x)=2x-3 +mx-2 -x+4) is (-5), what is (m)?
#coefficient
#parameter
#polynomial
A (5)
B (-5)
C (2)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).
Step 2
Why this answer is correct
The correct answer is B. (-5). The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणक (m) है। दिया है (m=-5), इसलिए उत्तर (-5) है।
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बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?
In the polynomial \(4x^3-2x^2+7x-9\), what is the sum of the coefficient of \(x^2\) and the constant term?
#coefficient
#constant-term
#polynomial
A (-11)
B (-7)
C (7)
D (11)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).
Step 2
Why this answer is correct
The correct answer is A. (-11). The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).
Step 3
Exam Tip
\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है।
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\(5x^3+2x^2-x+8\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(5x^3+2x^2-x+8\)?
#coefficient
#cubic-term
#polynomial
A (5)
B (2)
C (-1)
D (8)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.
Step 2
Why this answer is correct
The correct answer is A. (5). The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.
Step 3
Exam Tip
\(x^3\) के साथ लगा गुणक (5) है। गुणांक हमेशा संबंधित पद से पहचाना जाता है।
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(p(x)=2x-3 +3x-2 -5) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-3 +3x-2 -5)?
#coefficient
#missing term
#cubic
A (2)
B (3)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 3
Exam Tip
इसमें (x) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को (0x) समझें।
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बहुपद (p(x)=2x-2 +0x+3) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-2 +0x+3)?
#coefficient
#missing term
#polynomial
A (0)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद का गुणांक (0) मानें।
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(p(x)=4x-3 -2x-2 +7x-1) में \(x^3\) के पद का गुणांक क्या है?
What is the coefficient of the \(x^3\) term in (p(x)=4x-3 -2x-2 +7x-1)?
#coefficient
#cubic term
#polynomial
A (4)
B (-2)
C (7)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.
Step 2
Why this answer is correct
The correct answer is A. (4). The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.
Step 3
Exam Tip
\(x^3\) के साथ गुणांक (4) जुड़ा है। घात और गुणांक को अलग अलग पहचानें।
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(p(x)=2x-2 +kx+8) में (x) का गुणांक (5) हो तो (k) क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+8) is (5), what is (k)?
#coefficient
#parameter
#polynomial
A (2)
B (5)
C (8)
D (10)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k). It is given that (k=5).
Step 2
Why this answer is correct
The correct answer is B. (5). In (kx), the coefficient of (x) is (k). It is given that (k=5).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है। दिया है (k=5)।
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व्यंजक \(7x^3+2x^2-x+6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(7x^3+2x^2-x+6\)?
#coefficient
#term
#polynomial
A (7)
B (2)
C (-1)
D (6)
Explanation opens after your attempt
Step 1
Concept
The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.
Step 2
Why this answer is correct
The correct answer is B. (2). The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणक (2) है। गुणांक पूछने पर उसी पद को पहचानें।
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बहुपद \(6x^2-x+13\) में (x) के गुणांक का सही मान कौन सा है?
Which is the correct coefficient of (x) in \(6x^2-x+13\)?
#coefficient
#negative-one
A (6)
B (-1)
C (1)
D (13)
Explanation opens after your attempt
Step 1
Concept
(-x) means (-1x), so the coefficient is (-1). Identify the hidden (1) with its sign.
Step 2
Why this answer is correct
The correct answer is B. (-1). (-x) means (-1x), so the coefficient is (-1). Identify the hidden (1) with its sign.
Step 3
Exam Tip
(-x) का अर्थ (-1x) है इसलिए गुणांक (-1) है। छिपे हुए (1) को चिह्न सहित पहचानें।
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बहुपद \(x^3+4x^2-5\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^3+4x^2-5\)?
#coefficient
#missing-term
A (1)
B (4)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 2
Why this answer is correct
The correct answer is C. (0). It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 3
Exam Tip
इसमें (x) का पद नहीं है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद को तुरंत पहचानना जरूरी है।
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बहुपद \(10x^3-6x^2+2x-1\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(10x^3-6x^2+2x-1\)?
#coefficient
#x-term
A (10)
B (-6)
C (2)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the (x)-term (2x) is (2). Look only at the term containing \(x^1\).
Step 2
Why this answer is correct
The correct answer is C. (2). The coefficient of the (x)-term (2x) is (2). Look only at the term containing \(x^1\).
Step 3
Exam Tip
(x) वाले पद (2x) का गुणांक (2) है। केवल उसी पद को देखें जिसमें \(x^1\) हो।
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\(2x^3-7\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(2x^3-7\)?
#coefficient
#missing-power
A (2)
B (0)
C (-7)
D (3)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.
Step 2
Why this answer is correct
The correct answer is B. (0). There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.
Step 3
Exam Tip
\(x^2\) का कोई पद नहीं है इसलिए गुणांक (0) है। अनुपस्थित घात को शून्य गुणांक वाला पद माना जा सकता है।
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\(4x^2+0x+9\) में कितने शून्य गुणांक वाले पद को स्पष्ट लिखा गया है?
How many terms with zero coefficient are explicitly written in \(4x^2+0x+9\)?
#zero-coefficient
#terms
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 2
Why this answer is correct
The correct answer is B. (1). (0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 3
Exam Tip
(0x) एक ऐसा पद है जिसका गुणांक (0) है। शून्य गुणांक वाला पद लिखने पर भी मान नहीं बदलता।
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बहुपद \(8x^5-3x^2+4\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(8x^5-3x^2+4\)?
#missing-term
#coefficient
A (8)
B (-3)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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\(x^2-7x\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^2-7x\)?
#coefficient
#sign-error
A (1)
B (-7)
C (7)
D (0)
Explanation opens after your attempt
Step 1
Concept
The multiplier of (x) is (-7). Treat the negative sign as part of the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (-7). The multiplier of (x) is (-7). Treat the negative sign as part of the coefficient.
Step 3
Exam Tip
(x) के साथ लगा गुणक (-7) है। ऋण चिह्न को गुणांक का भाग मानें।
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बहुपद \(5x^2-8x+6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^2-8x+6\)?
#coefficient
#polynomial-terms
#easy
A (5)
B (-8)
C (6)
D (2)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.
Step 2
Why this answer is correct
The correct answer is A. (5). The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणक (5) है। पद के गुणांक को उसके चर भाग से अलग पहचानें।
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यदि (p(x)=2x-3 -5x+9) है, तो इसमें \(x^2\) का गुणांक क्या है?
If (p(x)=2x-3 -5x+9), what is the coefficient of \(x^2\)?
#polynomials
#one-variable
#coefficient
#missing-term
A (2)
B (-5)
C (9)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक हमेशा (0) माना जाता है।
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बहुपद \(2x^2+3x+4\) में (x) का गुणांक और नियत पद क्रमशः क्या हैं?
In \(2x^2+3x+4\), what are the coefficient of (x) and the constant term respectively?
#polynomials
#coefficient
#constant-term
#easy
A (3,4)
B (2,3)
C (4,3)
D (2,4)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.
Step 2
Why this answer is correct
The correct answer is A. (3,4). The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.
Step 3
Exam Tip
(x) का गुणांक (3) और नियत पद (4) है। क्रमशः पूछे गए क्रम का ध्यान रखें।
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\(4x^3+x+2\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(4x^3+x+2\)?
#polynomials
#missing-term
#easy
#coefficient
A (4)
B (1)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक शून्य माना जाता है।
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\(8x^3-5x^2+4\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(8x^3-5x^2+4\)?
#polynomials
#coefficient
#easy
#sign
A (8)
B (-5)
C (4)
D (2)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (-5). The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 3
Exam Tip
\(x^2\) वाला पद \(-5x^2\) है, इसलिए गुणांक (-5) है। चिह्न को गुणांक के साथ लिखें।
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बहुपद \(4x^2+0x+6\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(4x^2+0x+6\)?
#polynomials
#coefficient
#easy
#level48
A (4)
B (0)
C (6)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 2
Why this answer is correct
The correct answer is B. (0). The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए गुणांक (0) है। छिपे हुए शून्य पदों पर ध्यान दें।
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बहुपद (p(x)=2x-4 -5x-3 +x-8) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -5x-3 +x-8)?
#coefficient
#missing_term
#degree_four
A (2)
B \(-5\)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है। इसलिए \(x^2\) का गुणांक (0) है।
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यदि (p(x)=2x-2 +kx+3) में (x) का गुणांक (5) है, तो (k) का मान क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+3) is (5), what is the value of (k)?
#coefficient
#parameter
#polynomials
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 2
Why this answer is correct
The correct answer is C. (5). In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है। इसलिए (k=5) होगा।
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बहुपद \(2x^2-9\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-9\)?
#coefficient
#missing_term
#polynomials
A (2)
B \(-9\)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 3
Exam Tip
इसमें (x) वाला पद लिखा नहीं है इसलिए उसका गुणांक (0) है। परीक्षा में लुप्त पद का गुणांक (0) मानें।
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बहुपद \(x^5-4x^2+10\) में लुप्त \(x^4\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?
#missing_term
#coefficient
#polynomials
A (1)
B \(-4\)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 3
Exam Tip
जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है।
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बहुपद \(9x^4-2x^3+7\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(9x^4-2x^3+7\)?
#coefficient
#terms
#polynomials
A (9)
B \(-2\)
C (7)
D (3)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 2
Why this answer is correct
The correct answer is B. \(-2\). The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 3
Exam Tip
\(x^3\) के साथ (-2) लगा है। इसलिए \(x^3\) का गुणांक (-2) है।
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बहुपद \(5x^4-3x^2+x-6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^4-3x^2+x-6\)?
#coefficient
#polynomials
#terms
A (5)
B \(-3\)
C (1)
D \(-6\)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 2
Why this answer is correct
The correct answer is B. \(-3\). The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणांक (-3) है। परीक्षा में पद का चिह्न भी गुणांक में शामिल करें।
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मानक रूप \(ax^2+bx+c=0\) में \(x^2\) का गुणांक किससे दर्शाया जाता है?
In the standard form \(ax^2+bx+c=0\), which symbol denotes the coefficient of \(x^2\)?
#quadratic-equations
#standard-form
#coefficient-a
A (b)
B (a)
C (c)
D (x)
Explanation opens after your attempt
Step 1
Concept
In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).
Step 2
Why this answer is correct
The correct answer is B. (a). In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).
Step 3
Exam Tip
मानक रूप में \(x^2\) का गुणांक (a) होता है। यही गुणांक (0) नहीं होना चाहिए।
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समीकरण \(2x^2-x+8=0\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-x+8=0\)?
#quadratic-equations
#coefficient-b
#signs
A (-1)
B (1)
C (2)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (-x) is (-1). It is necessary to write the coefficient with its sign.
Step 2
Why this answer is correct
The correct answer is A. (-1). The coefficient of (-x) is (-1). It is necessary to write the coefficient with its sign.
Step 3
Exam Tip
(-x) का गुणांक (-1) होता है। चिन्ह सहित गुणांक लिखना जरूरी है।
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समीकरण \(5x^2-2x+1=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^2-2x+1=0\)?
#quadratic-equations
#coefficient-a
#easy
A (5)
B (2)
C (1)
D (-2)
Explanation opens after your attempt
Step 1
Concept
The coefficient attached to \(x^2\) is (5). While writing a coefficient, take the numerical part attached to the term.
Step 2
Why this answer is correct
The correct answer is A. (5). The coefficient attached to \(x^2\) is (5). While writing a coefficient, take the numerical part attached to the term.
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणांक (5) है। गुणांक लिखते समय केवल पद के साथ लगा संख्यात्मक भाग लें।
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यदि \(x^2+kx+12=0\) एक द्विघात समीकरण है तो (k) किस पद का गुणांक है?
If \(x^2+kx+12=0\) is a quadratic equation, then (k) is the coefficient of which term?
#quadratic equations
#coefficient
#standard form
A \(x^2\) पद / \(x^2\) term
B (x) पद / (x) term
C स्थिर पद (12) / Constant term (12)
D शून्य पद (0) / Zero term (0)
Explanation opens after your attempt
Correct Answer
B. (x) पद / (x) term
Step 1
Concept
In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).
Step 2
Why this answer is correct
The correct answer is B. (x) पद / (x) term. In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).
Step 3
Exam Tip
मानक रूप \(ax^2+bx+c=0\) में (x) का गुणांक (b) होता है। यहां (kx) में (k) (x) का गुणांक है।
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समीकरण \(x^2+8x+16=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(x^2+8x+16=0\)?
#quadratic equations
#coefficient
#implicit one
A (0)
B (1)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.
Step 2
Why this answer is correct
The correct answer is B. (1). When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.
Step 3
Exam Tip
जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह सामान्य परीक्षा गलती है।
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मैग्नीशियम के जलने की अभिक्रिया में ऑक्सीजन अणु के आगे गुणांक एक है। संतुलित समीकरण में मैग्नीशियम के आगे कौन सा गुणांक होगा?
In the burning reaction of magnesium the coefficient before oxygen molecule is one. What coefficient will be before magnesium in the balanced equation?
#science
#class10
#hard
#magnesium-oxide
#balancing
A एक / One
B दो / Two
C तीन / Three
D चार / Four
Explanation opens after your attempt
Step 1
Concept
One oxygen molecule has two oxygen atoms.
Step 2
Why this answer is correct
In magnesium oxide one magnesium combines with one oxygen.
Step 3
Exam Tip
Therefore two magnesium atoms are required. चरण 1: एक ऑक्सीजन अणु में दो ऑक्सीजन परमाणु होते हैं। चरण 2: मैग्नीशियम ऑक्साइड में एक मैग्नीशियम के साथ एक ऑक्सीजन जुड़ती है। चरण 3: इसलिए दो मैग्नीशियम परमाणुओं की जरूरत होगी।
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समीकरण \(kx^2-6x+k=0\) के वास्तविक और भिन्न मूलों के लिए सही शर्त क्या है?
What is the correct condition for real and distinct roots of \(kx^2-6x+k=0\)?
#quadratic equations
#real distinct roots
#leading coefficient
A \(k^2<9\) और \(k\neq0\) / \(k^2<9\) and \(k\neq0\)
B \(k^2>9\)
C \(k^2=9\)
D (k=0)
Explanation opens after your attempt
Correct Answer
A. \(k^2<9\) और \(k\neq0\) / \(k^2<9\) and \(k\neq0\)
Step 1
Concept
Here \(D=36-4k^2\). For real and distinct roots (D>0) and \(k\neq0\), hence \(k^2<9\).
Step 2
Why this answer is correct
The correct answer is A. \(k^2<9\) और \(k\neq0\) / \(k^2<9\) and \(k\neq0\). Here \(D=36-4k^2\). For real and distinct roots (D>0) and \(k\neq0\), hence \(k^2<9\).
Step 3
Exam Tip
यहाँ \(D=36-4k^2\) है। वास्तविक और भिन्न मूलों के लिए (D>0) और \(k\neq0\), अतः \(k^2<9\)।
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यदि किसी द्विघात समीकरण के मूल (c) और (-c) हैं तो अचर पद और अग्र गुणांक के अनुपात \(\frac{d}{a}\) का मान क्या होगा?
If the roots of a quadratic equation are (c) and (-c), what is the value of the ratio \(\frac{d}{a}\) of constant term to leading coefficient?
#roots
#opposite_roots
#product
A \(-c^2\)
B \(c^2\)
C (0)
D (2c)
Explanation opens after your attempt
Correct Answer
A. \(-c^2\)
Step 1
Concept
\(\frac{d}{a}\) is the product of roots. Here (c(-c)=-c-2 ).
Step 2
Why this answer is correct
The correct answer is A. \(-c^2\). \(\frac{d}{a}\) is the product of roots. Here (c(-c)=-c-2 ).
Step 3
Exam Tip
\(\frac{d}{a}\) मूलों का गुणनफल होता है। यहां (c(-c)=-c-2 ) है।
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यदि किसी द्विघात समीकरण के मूल (b) और (-b) हैं तो अचर पद और अग्र गुणांक के अनुपात \(\frac{c}{a}\) का मान क्या होगा?
If the roots of a quadratic equation are (b) and (-b), what is the value of the ratio \(\frac{c}{a}\) of constant term to leading coefficient?
#roots
#opposite_roots
#product
A \(-b^2\)
B \(b^2\)
C (0)
D (2b)
Explanation opens after your attempt
Correct Answer
A. \(-b^2\)
Step 1
Concept
\(\frac{c}{a}\) is the product of roots. Here (b(-b)=-b-2 ).
Step 2
Why this answer is correct
The correct answer is A. \(-b^2\). \(\frac{c}{a}\) is the product of roots. Here (b(-b)=-b-2 ).
Step 3
Exam Tip
\(\frac{c}{a}\) मूलों का गुणनफल होता है। यहां (b(-b)=-b-2 ) है।
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यदि किसी द्विघात समीकरण के मूल (a) और (-a) हैं तो अचर पद और अग्र गुणांक के अनुपात \(\frac{c}{a_1}\) का मान क्या होगा?
If the roots of a quadratic equation are (a) and (-a), what is the value of the ratio \(\frac{c}{a_1}\) of constant term to leading coefficient?
#roots
#opposite_roots
#product
A \(-a^2\)
B \(a^2\)
C (0)
D (2a)
Explanation opens after your attempt
Correct Answer
A. \(-a^2\)
Step 1
Concept
\(\frac{c}{a_1}\) is the product of roots. Here (a(-a)=-a-2 ).
Step 2
Why this answer is correct
The correct answer is A. \(-a^2\). \(\frac{c}{a_1}\) is the product of roots. Here (a(-a)=-a-2 ).
Step 3
Exam Tip
\(\frac{c}{a_1}\) मूलों का गुणनफल होता है। यहां (a(-a)=-a-2 ) है।
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समीकरण ((k-1)x-2 +3x+2=0) द्विघात रहे इसके लिए कौन सी शर्त सही है?
Which condition is correct for ((k-1)x-2 +3x+2=0) to remain quadratic?
#quadratic equations
#parameter
#leading coefficient
A (k=1)
B \(k\neq1\)
C (k=0)
D (k=-1)
Explanation opens after your attempt
Correct Answer
B. \(k\neq1\)
Step 1
Concept
The coefficient of the quadratic term is ((k-1)), which must not be (0). Hence \(k\neq1\) is necessary.
Step 2
Why this answer is correct
The correct answer is B. \(k\neq1\). The coefficient of the quadratic term is ((k-1)), which must not be (0). Hence \(k\neq1\) is necessary.
Step 3
Exam Tip
द्विघात पद का गुणांक ((k-1)) है जो (0) नहीं होना चाहिए। इसलिए \(k\neq1\) होना जरूरी है।
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किस शर्त पर \(px^2+qx+r=0\) द्विघात समीकरण होगा?
Under which condition will \(px^2+qx+r=0\) be a quadratic equation?
#quadratic equations
#condition
#leading coefficient
A (p=0)
B \(p\neq0\)
C (q=0)
D (r=0)
Explanation opens after your attempt
Correct Answer
B. \(p\neq0\)
Step 1
Concept
The quadratic term \(px^2\) must remain, so \(p\neq0\). If (p=0), degree (2) will not remain.
Step 2
Why this answer is correct
The correct answer is B. \(p\neq0\). The quadratic term \(px^2\) must remain, so \(p\neq0\). If (p=0), degree (2) will not remain.
Step 3
Exam Tip
द्विघात पद \(px^2\) बना रहे इसलिए \(p\neq0\) होना चाहिए। यदि (p=0) हो तो घात (2) नहीं रहेगी।
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यदि किसी युग्म में गुणांक अनुपात समान है और स्थिर पद का अनुपात अलग है, तो हल-स्थिति क्या होगी?
If coefficient ratios are equal and the constant ratio is different in a pair, what is the solution status?
#class10
#linear-equations
#solvability
A अद्वितीय हल / Unique solution
B अनंत हल / Infinitely many solutions
C कोई हल नहीं / No solution
D सदैव दो हल / Always two solutions
Explanation opens after your attempt
Correct Answer
C. कोई हल नहीं / No solution
Step 1
Concept
This condition forms distinct parallel lines. Therefore, the pair is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. कोई हल नहीं / No solution. This condition forms distinct parallel lines. Therefore, the pair is inconsistent.
Step 3
Exam Tip
यह स्थिति अलग-अलग समांतर रेखाएँ बनाती है। इसलिए युग्म असंगत होता है।
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किस युग्म की रेखाएं अलग गुणांक अनुपातों के कारण एक अद्वितीय समाधान देंगी?
Which pair will give a unique solution because of different coefficient ratios?
#graphical method
#unique solution
#intersecting lines
#ratio test
A (4x+8y=16), (x+2y=5)
B (5x-2y=11), (x+y=7)
C (6x-3y=9), (2x-y=3)
D (7x+14y=28), (x+2y=4)
Explanation opens after your attempt
Correct Answer
B. (5x-2y=11), (x+y=7)
Step 1
Concept
For (5x-2y=11) and (x+y=7), \(\frac{5}{1}\neq\frac{-2}{1}\), so the lines intersect. Different coefficient ratios give a unique solution.
Step 2
Why this answer is correct
The correct answer is B. (5x-2y=11), (x+y=7). For (5x-2y=11) and (x+y=7), \(\frac{5}{1}\neq\frac{-2}{1}\), so the lines intersect. Different coefficient ratios give a unique solution.
Step 3
Exam Tip
(5x-2y=11) और (x+y=7) में \(\frac{5}{1}\neq\frac{-2}{1}\), इसलिए रेखाएं प्रतिच्छेदी हैं। अलग गुणांक अनुपात अद्वितीय समाधान देता है।
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यदि (x=3) और (x=8) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?
If (x=3) and (x=8) are roots of a monic quadratic equation, what will be the coefficient of (x)?
#roots
#coefficient_from_roots
#monic
A (-11)
B (11)
C (24)
D (-24)
Explanation opens after your attempt
Step 1
Concept
\(The sum of roots is (3+8=11). In a monic equation the coefficient of (x) is (-(\)sum\()=-11).\)
Step 2
Why this answer is correct
\(The correct answer is A. (-11). The sum of roots is (3+8=11). In a monic equation the coefficient of (x) is (-(\)sum\()=-11).\)
Step 3
Exam Tip
मूलों का योग (3+8=11) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-11) होता है\)।
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यदि (x=2) और (x=7) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?
If (x=2) and (x=7) are roots of a monic quadratic equation, what will be the coefficient of (x)?
#roots
#coefficient_from_roots
#monic
A (-9)
B (9)
C (14)
D (-14)
Explanation opens after your attempt
Step 1
Concept
\(The sum of roots is (2+7=9). In a monic equation the coefficient of (x) is (-(\)sum\()=-9).\)
Step 2
Why this answer is correct
\(The correct answer is A. (-9). The sum of roots is (2+7=9). In a monic equation the coefficient of (x) is (-(\)sum\()=-9).\)
Step 3
Exam Tip
मूलों का योग (2+7=9) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-9) होता है\)।
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यदि (x=1) और (x=4) किसी मोनिक द्विघात समीकरण के मूल हैं तो (x) का गुणांक क्या होगा?
If (x=1) and (x=4) are roots of a monic quadratic equation, what will be the coefficient of (x)?
#roots
#coefficient_from_roots
#monic
A (-5)
B (5)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
\(The sum of roots is (1+4=5). In a monic equation the coefficient of (x) is (-(\)sum\()=-5).\)
Step 2
Why this answer is correct
\(The correct answer is A. (-5). The sum of roots is (1+4=5). In a monic equation the coefficient of (x) is (-(\)sum\()=-5).\)
Step 3
Exam Tip
मूलों का योग (1+4=5) है। मोनिक समीकरण में (x) का गुणांक (-(योग\()=-5) होता है\)।
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समीकरण \(8x-x^2=15\) का मानक रूप कौन-सा है जिसमें \(x^2\) का गुणांक धनात्मक हो?
What is the standard form of \(8x-x^2=15\) with positive coefficient of \(x^2\)?
#quadratic-equations
#standard-form
#transposition
#medium
A \(x^2-8x+15=0\)
B \(x^2+8x-15=0\)
C \(x^2-8x-15=0\)
D \(x^2+8x+15=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-8x+15=0\)
Step 1
Concept
Bringing all terms to one side gives \(-x^2+8x-15=0\). Multiplying by (-1) gives \(x^2-8x+15=0\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-8x+15=0\). Bringing all terms to one side gives \(-x^2+8x-15=0\). Multiplying by (-1) gives \(x^2-8x+15=0\).
Step 3
Exam Tip
सभी पद एक ओर लाने पर \(-x^2+8x-15=0\) मिलता है। (-1) से गुणा करने पर \(x^2-8x+15=0\) मिलता है।
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समीकरण \(5x-2x^2=9\) का मानक रूप कौन-सा है जिसमें \(x^2\) का गुणांक धनात्मक हो?
What is the standard form of \(5x-2x^2=9\) with positive coefficient of \(x^2\)?
#quadratic-equations
#standard-form
#signs
#medium
A \(2x^2-5x+9=0\)
B \(2x^2+5x-9=0\)
C \(2x^2-5x-9=0\)
D \(2x^2+5x+9=0\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-5x+9=0\)
Step 1
Concept
Bringing all terms to one side gives \(-2x^2+5x-9=0\), and multiplying by (-1) gives \(2x^2-5x+9=0\). Change signs carefully in standard form.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-5x+9=0\). Bringing all terms to one side gives \(-2x^2+5x-9=0\), and multiplying by (-1) gives \(2x^2-5x+9=0\). Change signs carefully in standard form.
Step 3
Exam Tip
सभी पद एक ओर लाकर \(-2x^2+5x-9=0\) मिलता है और (-1) से गुणा करने पर \(2x^2-5x+9=0\) मिलता है। मानक रूप में चिन्ह सावधानी से बदलें।
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यदि \(\sqrt{3}\) और \(\sqrt{12}\) किसी द्विघात बहुपद के शून्यक हैं, तो एकक बहुपद में (x) का गुणांक क्या होगा?
If \(\sqrt{3}\) and \(\sqrt{12}\) are zeroes of a monic quadratic polynomial, what will be the coefficient of (x)?
#radical-simplification
#monic-polynomial
#coefficient
A \(-3\sqrt{3}\)
B \(-\sqrt{15}\)
C \(3\sqrt{3}\)
D \(-2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(-3\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.
Step 2
Why this answer is correct
The correct answer is A. \(-3\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.
Step 3
Exam Tip
\(\sqrt{12}=2\sqrt{3}\), इसलिए योग \(3\sqrt{3}\) है। एकक बहुपद में (x) का गुणांक शून्यकों के योग का ऋणात्मक होता है।
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यदि \(2+\sqrt{13}\) परिमेय गुणांकों वाले द्विघात बहुपद का एक शून्यक है, तो उस बहुपद में (x) का गुणांक किस रूप में हो सकता है?
If \(2+\sqrt{13}\) is one zero of a quadratic polynomial with rational coefficients, what can the coefficient of (x) be?
#rational-coefficients
#conjugate-root
#coefficient
A (-4)
B (4)
C \(-2-\sqrt{13}\)
D \(\sqrt{13}\)
Explanation opens after your attempt
Step 1
Concept
The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).
Step 2
Why this answer is correct
The correct answer is A. (-4). The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).
Step 3
Exam Tip
दूसरा शून्यक \(2-\sqrt{13}\) होगा, इसलिए योग (4) है। एकक बहुपद में (x) का गुणांक (-4) होगा।
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मैग्नीशियम के जलने की अभिक्रिया को संतुलित करते समय मैग्नीशियम ऑक्साइड के आगे कौन सा गुणांक लगाया जाता है?
While balancing the burning reaction of magnesium what coefficient is placed before magnesium oxide?
#science
#class10
#balancing
#magnesium-oxide
A एक / One
B दो / Two
C तीन / Three
D चार / Four
Explanation opens after your attempt
Step 1
Concept
Magnesium combines with oxygen to form magnesium oxide.
Step 2
Why this answer is correct
To balance oxygen atoms coefficient two is placed before magnesium oxide.
Step 3
Exam Tip
Then magnesium is also made two to balance the equation. चरण 1: मैग्नीशियम ऑक्सीजन से मिलकर मैग्नीशियम ऑक्साइड बनाता है। चरण 2: ऑक्सीजन परमाणुओं को बराबर करने के लिए मैग्नीशियम ऑक्साइड के आगे दो लगाया जाता है। चरण 3: फिर मैग्नीशियम के आगे भी दो लगाकर समीकरण संतुलित होता है।
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संतुलित समीकरण में हाइड्रोजन और ऑक्सीजन से जल बनने पर जल के आगे कौन सा गुणांक लगता है?
In the balanced equation for formation of water from hydrogen and oxygen what coefficient is placed before water?
#science
#class10
#balanced-equation
#water
A एक / One
B दो / Two
C तीन / Three
D चार / Four
Explanation opens after your attempt
Step 1
Concept
In water formation atoms must be equal on both sides.
Step 2
Why this answer is correct
In the balanced form coefficient two is placed before water.
Step 3
Exam Tip
Count atoms first in small equations. चरण 1: हाइड्रोजन और ऑक्सीजन से जल बनने में दोनों ओर परमाणु बराबर करने होते हैं। चरण 2: संतुलित रूप में जल के आगे दो लगाया जाता है। चरण 3: छोटे समीकरणों में पहले परमाणुओं की गिनती करें।
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रेखा से ध्यान केंद्र तक कैसे जाता है?
How does line take attention to the focus?
#leading lines
#focus
#eye direction
A नजर को दिशा देकर / By giving direction to the eye
B कागज की कीमत बताकर / By telling paper price
C रंग को सुखाकर / By drying colour
D फ्रेम हटाकर / By removing frame
Explanation opens after your attempt
Correct Answer
A. नजर को दिशा देकर / By giving direction to the eye
Step 1
Concept
Directional lines take eye toward focus. Exam tip: identify leading lines.
Step 2
Why this answer is correct
The correct answer is A. नजर को दिशा देकर / By giving direction to the eye. Directional lines take eye toward focus. Exam tip: identify leading lines.
Step 3
Exam Tip
दिशात्मक रेखाएं नजर को केंद्र तक ले जाती हैं। परीक्षा में leading lines पहचानें।
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