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75 results found for "repeated strokes" in Class 10.

दृश्य बनावट में बिंदु रेखा और छोटे आकार क्यों दोहराए जाते हैं?

Why are dots lines and small shapes repeated in visual texture?

Explanation opens after your attempt
Correct Answer

B. सतह का भ्रम बनाने के लिएTo create illusion of surface

Step 1

Concept

Repeated marks create surface feeling. Exam tip: understand texture effect through marks.

Step 2

Why this answer is correct

The correct answer is B. सतह का भ्रम बनाने के लिए / To create illusion of surface. Repeated marks create surface feeling. Exam tip: understand texture effect through marks.

Step 3

Exam Tip

दोहराए चिह्न सतह की अनुभूति बनाते हैं। परीक्षा में marks से texture effect समझें।

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दोहराई हुई रेखाओं से कपड़े में कौन सा प्रभाव बन सकता है?

What effect can repeated lines create in cloth?

Explanation opens after your attempt
Correct Answer

C. पैटर्न और लयPattern and rhythm

Step 1

Concept

Repeated lines create pattern and rhythm in cloth. Exam tip: connect textile design with repetition.

Step 2

Why this answer is correct

The correct answer is C. पैटर्न और लय / Pattern and rhythm. Repeated lines create pattern and rhythm in cloth. Exam tip: connect textile design with repetition.

Step 3

Exam Tip

दोहराई रेखाएं कपड़े में पैटर्न और लय देती हैं। परीक्षा में वस्त्र डिजाइन को पुनरावृत्ति से जोड़ें।

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\(36x^2-60x+25=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(36x^2-60x+25=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{5}{6}\)

Step 1

Concept

((6x-5)2=0), so (6x-5=0) and \(x=\frac{5}{6}\). In exams, write the repeated root as a correct fraction.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{5}{6}\). ((6x-5)2=0), so (6x-5=0) and \(x=\frac{5}{6}\). In exams, write the repeated root as a correct fraction.

Step 3

Exam Tip

((6x-5)2=0), इसलिए (6x-5=0) और \(x=\frac{5}{6}\) है। परीक्षा में दोहराए हुए मूल को सही भिन्न में लिखें।

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\(16x^2-24x+9=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(16x^2-24x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{3}{4}\)

Step 1

Concept

((4x-3)2=0), so (4x-3=0) and \(x=\frac{3}{4}\). In exams, write the repeated root as a correct fraction.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{3}{4}\). ((4x-3)2=0), so (4x-3=0) and \(x=\frac{3}{4}\). In exams, write the repeated root as a correct fraction.

Step 3

Exam Tip

((4x-3)2=0), इसलिए (4x-3=0) और \(x=\frac{3}{4}\) है। परीक्षा में दोहराए हुए मूल को भी सही भिन्न में लिखें।

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\(4x^2-12x+9=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(4x^2-12x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{3}{2}\)

Step 1

Concept

((2x-3)2=0), so (2x-3=0) and \(x=\frac{3}{2}\). In exams, write the repeated root with the correct value.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{3}{2}\). ((2x-3)2=0), so (2x-3=0) and \(x=\frac{3}{2}\). In exams, write the repeated root with the correct value.

Step 3

Exam Tip

((2x-3)2=0), इसलिए (2x-3=0) और \(x=\frac{3}{2}\) है। परीक्षा में दोहराए हुए मूल को भी सही मान से लिखें।

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\(x^2+18x+81=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2+18x+81=0\)?

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Correct Answer

A. (x=-9)

Step 1

Concept

((x+9)2=0), so the repeated root is (-9). In exams, a perfect square equation has equal roots.

Step 2

Why this answer is correct

The correct answer is A. (x=-9). ((x+9)2=0), so the repeated root is (-9). In exams, a perfect square equation has equal roots.

Step 3

Exam Tip

((x+9)2=0), इसलिए दोहराया हुआ मूल (-9) है। परीक्षा में पूर्ण वर्ग समीकरण में दोनों मूल समान होते हैं।

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\(x^2+14x+49=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2+14x+49=0\)?

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Correct Answer

A. (x=-7)

Step 1

Concept

((x+7)2=0), so the repeated root is (-7). In exams, ((x+a)2=0) gives (x=-a).

Step 2

Why this answer is correct

The correct answer is A. (x=-7). ((x+7)2=0), so the repeated root is (-7). In exams, ((x+a)2=0) gives (x=-a).

Step 3

Exam Tip

((x+7)2=0), इसलिए दोहराया हुआ मूल (-7) है। परीक्षा में ((x+a)2=0) से (x=-a) मिलता है।

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\(x^2-6x+9=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2-6x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. (x=3)

Step 1

Concept

(x-2-6x+9=(x-3)2), so the repeated root is (3). In exams, a perfect square gives equal roots.

Step 2

Why this answer is correct

The correct answer is A. (x=3). (x-2-6x+9=(x-3)2), so the repeated root is (3). In exams, a perfect square gives equal roots.

Step 3

Exam Tip

(x-2-6x+9=(x-3)2), इसलिए दोहराया हुआ मूल (3) है। परीक्षा में पूर्ण वर्ग में दोनों मूल समान होते हैं।

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यदि \(\sqrt{3}\) एक बहुपद \(x^2+kx+3\) का दोहरा शून्यक है, तो (k) क्या होगा?

If \(\sqrt{3}\) is a repeated zero of \(x^2+kx+3\), what is (k)?

Explanation opens after your attempt
Correct Answer

A. \(-2\sqrt{3}\)

Step 1

Concept

Both zeroes are \(\sqrt{3}\), so the sum is \(2\sqrt{3}\). In \(x^2+kx+3\), the sum is (-k), hence \(k=-2\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(-2\sqrt{3}\). Both zeroes are \(\sqrt{3}\), so the sum is \(2\sqrt{3}\). In \(x^2+kx+3\), the sum is (-k), hence \(k=-2\sqrt{3}\).

Step 3

Exam Tip

दोनों शून्यक \(\sqrt{3}\) हैं, इसलिए योग \(2\sqrt{3}\) है। \(x^2+kx+3\) में योग (-k) है, अतः \(k=-2\sqrt{3}\)।

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मोटे ब्रश स्ट्रोक से किस तरह की बनावट दिख सकती है?

What kind of texture can thick brush strokes show?

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Correct Answer

C. उभरी हुई सतहRaised surface

Step 1

Concept

Thick brush strokes can make the surface look raised. Exam tip: understand brush stroke as texture effect.

Step 2

Why this answer is correct

The correct answer is C. उभरी हुई सतह / Raised surface. Thick brush strokes can make the surface look raised. Exam tip: understand brush stroke as texture effect.

Step 3

Exam Tip

मोटे ब्रश स्ट्रोक सतह को उभरा हुआ दिखा सकते हैं। परीक्षा में brush stroke को texture effect समझें।

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बार बार दोहराए गए आकारों से रचना में कौन सा प्रभाव बनता है?

Which effect is created in composition by repeated shapes?

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Correct Answer

C. लयRhythm

Step 1

Concept

Repetition creates rhythm in a composition. Exam tip: connect repeated shapes with rhythm.

Step 2

Why this answer is correct

The correct answer is C. लय / Rhythm. Repetition creates rhythm in a composition. Exam tip: connect repeated shapes with rhythm.

Step 3

Exam Tip

दोहराव रचना में लय बनाता है। परीक्षा में repeated shapes को rhythm से जोड़ें।

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चित्र में बार बार आती वक्र रेखाएं क्या बना सकती हैं?

What can repeated curved lines create in a picture?

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Correct Answer

C. प्रवाहमय लयFlowing rhythm

Step 1

Concept

Repetition of curved lines creates flowing rhythm. Exam tip: connect curved repetition with movement.

Step 2

Why this answer is correct

The correct answer is C. प्रवाहमय लय / Flowing rhythm. Repetition of curved lines creates flowing rhythm. Exam tip: connect curved repetition with movement.

Step 3

Exam Tip

वक्र रेखाओं की पुनरावृत्ति प्रवाहमय लय बनाती है। परीक्षा में curved repetition को movement से जोड़ें।

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एक ही तत्व बहुत अधिक दोहराने से चित्र कैसा हो सकता है?

How can a picture become if one element is repeated too much?

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Correct Answer

D. एकरसMonotonous

Step 1

Concept

Too much repetition can make a composition monotonous. Exam tip: remember balance of unity and variety.

Step 2

Why this answer is correct

The correct answer is D. एकरस / Monotonous. Too much repetition can make a composition monotonous. Exam tip: remember balance of unity and variety.

Step 3

Exam Tip

अत्यधिक दोहराव से रचना एकरस लग सकती है। परीक्षा में unity और variety दोनों का संतुलन याद रखें।

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बार बार दोहराई गई आकृतियां या रेखाएं क्या बना सकती हैं?

Repeated shapes or lines can create what?

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Correct Answer

A. आकृति क्रमPattern

Step 1

Concept

Repetition creates a pattern. Exam tip: connect repetition with decorative effect.

Step 2

Why this answer is correct

The correct answer is A. आकृति क्रम / Pattern. Repetition creates a pattern. Exam tip: connect repetition with decorative effect.

Step 3

Exam Tip

दोहराव से आकृति क्रम या पैटर्न बनता है। परीक्षा में दोहराव को सजावटी प्रभाव से जोड़ें।

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कोसी नदी के बार बार धारा बदलने में कौन सा कारण सबसे महत्वपूर्ण है?

Which reason is most important in repeated channel shifting of the Kosi River?

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Correct Answer

C. भारी गाद निक्षेप और कम ढालHeavy silt deposition and low gradient

Step 1

Concept

Kosi is known for channel shifting due to heavy silt and low gradient. For exams connect Kosi with floods in Bihar.

Step 2

Why this answer is correct

The correct answer is C. भारी गाद निक्षेप और कम ढाल / Heavy silt deposition and low gradient. Kosi is known for channel shifting due to heavy silt and low gradient. For exams connect Kosi with floods in Bihar.

Step 3

Exam Tip

कोसी भारी गाद और कम ढाल के कारण धारा बदलने के लिए जानी जाती है। परीक्षा में कोसी को बिहार की बाढ़ों से जोड़ें।

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ब्रह्मपुत्र नदी में नदी द्वीपों की बार बार बनावट किस कारण से जुड़ी है?

Repeated formation of river islands in Brahmaputra is linked with what?

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Correct Answer

C. अधिक गाद निक्षेप और धारा परिवर्तनHeavy silt deposition and channel shifting

Step 1

Concept

Brahmaputra brings heavy silt and can shift channels which forms river islands. For exams remember Majuli.

Step 2

Why this answer is correct

The correct answer is C. अधिक गाद निक्षेप और धारा परिवर्तन / Heavy silt deposition and channel shifting. Brahmaputra brings heavy silt and can shift channels which forms river islands. For exams remember Majuli.

Step 3

Exam Tip

ब्रह्मपुत्र अधिक गाद लाती है और धारा बदल सकती है जिससे नदी द्वीप बनते हैं। परीक्षा में माजुली याद रखें।

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खादर क्षेत्र में बार बार नई उपजाऊ मिट्टी आने का मुख्य भौतिक कारण क्या है?

What is the main physical reason for repeated arrival of fresh fertile soil in Khadar?

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A. नदी की आवर्ती बाढ़ और निक्षेपणRecurring river floods and deposition

Step 1

Concept

Khadar receives new alluvium from river floods. For exams treat it as a more fertile floodplain.

Step 2

Why this answer is correct

The correct answer is A. नदी की आवर्ती बाढ़ और निक्षेपण / Recurring river floods and deposition. Khadar receives new alluvium from river floods. For exams treat it as a more fertile floodplain.

Step 3

Exam Tip

खादर नदी बाढ़ से नई जलोढ़ मिट्टी प्राप्त करता है। परीक्षा में इसे अधिक उपजाऊ बाढ़ मैदान मानें।

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भारतीय भौतिक भूगोल में बार बार आने वाले तुलनात्मक प्रश्नों के लिए सबसे उपयोगी जोड़ी कौन सी है?

Which pair is most useful for repeated comparison questions in Indian physical geography?

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Correct Answer

A. हिमालय और प्रायद्वीपीय पठारHimalayas and Peninsular Plateau

Step 1

Concept

The Himalayas are young fold mountains and the Peninsular Plateau is an ancient stable landmass. For exams focus on their differences.

Step 2

Why this answer is correct

The correct answer is A. हिमालय और प्रायद्वीपीय पठार / Himalayas and Peninsular Plateau. The Himalayas are young fold mountains and the Peninsular Plateau is an ancient stable landmass. For exams focus on their differences.

Step 3

Exam Tip

हिमालय युवा वलित पर्वत हैं और प्रायद्वीपीय पठार प्राचीन स्थिर भूभाग है। परीक्षा में इनके अंतर पर विशेष ध्यान दें।

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संयुक्त राष्ट्र की आलोचना में दोहराया जाने वाला मुख्य बिंदु कौन सा है?

Which point is commonly repeated in criticism of the United Nations?

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D. कि बड़ी शक्तियों की राजनीति कई बार फैसलों को सीमित कर देती हैThat great power politics often limits decisions

Step 1

Concept

The effectiveness of the UN often depends on agreement among major powers. Exam tip: link this with veto and the Security Council.

Step 2

Why this answer is correct

The correct answer is D. कि बड़ी शक्तियों की राजनीति कई बार फैसलों को सीमित कर देती है / That great power politics often limits decisions. The effectiveness of the UN often depends on agreement among major powers. Exam tip: link this with veto and the Security Council.

Step 3

Exam Tip

संयुक्त राष्ट्र की प्रभावशीलता कई बार बड़ी शक्तियों की सहमति पर निर्भर हो जाती है। परीक्षा में इसे वीटो और सुरक्षा परिषद से जोड़ें।

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अलग अलग क्रांतियों की तुलना में कारणों की पुनरावृत्ति क्यों दिखती है?

Why do repeated causes appear when comparing different revolutions?

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Correct Answer

A. क्योंकि आर्थिक असमानता राजनीतिक दमन और विचारधारा कई समाजों में असंतोष बनाते हैंBecause economic inequality political repression and ideology create discontent in many societies

Step 1

Concept

Many revolutions have different contexts yet similar types of discontent. For exams write both similarities and differences.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि आर्थिक असमानता राजनीतिक दमन और विचारधारा कई समाजों में असंतोष बनाते हैं / Because economic inequality political repression and ideology create discontent in many societies. Many revolutions have different contexts yet similar types of discontent. For exams write both similarities and differences.

Step 3

Exam Tip

कई क्रांतियों में अलग संदर्भ होते हुए भी असंतोष के प्रकार समान हो सकते हैं। परीक्षा में समानता और अंतर दोनों लिखें।

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सोमनाथ मंदिर का बार बार पुनर्निर्माण किस ऐतिहासिक अध्ययन को समझने में सहायक है?

The repeated reconstruction of Somnath Temple helps in understanding which historical study?

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Correct Answer

A. मंदिर विनाश और पुनर्स्थापन की ऐतिहासिक प्रक्रियाHistorical process of temple destruction and restoration

Step 1

Concept

Somnath Temple is linked with many historical attacks and reconstructions. For exams understand long historical layers of a monument.

Step 2

Why this answer is correct

The correct answer is A. मंदिर विनाश और पुनर्स्थापन की ऐतिहासिक प्रक्रिया / Historical process of temple destruction and restoration. Somnath Temple is linked with many historical attacks and reconstructions. For exams understand long historical layers of a monument.

Step 3

Exam Tip

सोमनाथ मंदिर कई ऐतिहासिक आक्रमणों और पुनर्निर्माणों से जुड़ा है। परीक्षा में स्मारक की दीर्घ ऐतिहासिक परतें समझें।

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हड़प्पाई मुहरों पर एक सींग वाले पशु का बार बार आना किस अध्ययन में उपयोगी है?

Repeated appearance of the unicorn animal on Harappan seals is useful in which study?

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Correct Answer

A. हड़प्पाई प्रतीकवाद और व्यापारिक पहचानHarappan symbolism and trade identity

Step 1

Concept

The unicorn animal is a major symbol on Harappan seals. For exams, avoid treating symbols as certain deities without proof.

Step 2

Why this answer is correct

The correct answer is A. हड़प्पाई प्रतीकवाद और व्यापारिक पहचान / Harappan symbolism and trade identity. The unicorn animal is a major symbol on Harappan seals. For exams, avoid treating symbols as certain deities without proof.

Step 3

Exam Tip

एक सींग वाला पशु हड़प्पाई मुहरों का प्रमुख प्रतीक है। परीक्षा में प्रतीकों को निश्चित देवता मानने से बचें।

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अशोक के स्तंभ लेखों में धम्म की पुनरावृत्ति किस प्रशासनिक आवश्यकता को दिखाती है?

Repeated emphasis on Dhamma in Ashoka's pillar edicts shows which administrative need?

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Correct Answer

A. साम्राज्य में साझा नैतिक संदेश फैलानाSpreading a common moral message across the empire

Step 1

Concept

Repeated Dhamma messages were an attempt at moral unity in a diverse empire. For exams, treat inscriptions as administrative communication.

Step 2

Why this answer is correct

The correct answer is A. साम्राज्य में साझा नैतिक संदेश फैलाना / Spreading a common moral message across the empire. Repeated Dhamma messages were an attempt at moral unity in a diverse empire. For exams, treat inscriptions as administrative communication.

Step 3

Exam Tip

बार बार धम्म संदेश देना विविध साम्राज्य में नैतिक एकता की कोशिश थी। परीक्षा में अभिलेखों को प्रशासनिक संचार मानें।

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समीकरण \(25x^2-10x+1=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(25x^2-10x+1=0\)?

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Correct Answer

A. \(\frac{1}{5}\)

Step 1

Concept

(25x-2-10x+1=(5x-1)2). Therefore the repeated root is \(\frac{1}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{5}\). (25x-2-10x+1=(5x-1)2). Therefore the repeated root is \(\frac{1}{5}\).

Step 3

Exam Tip

(25x-2-10x+1=(5x-1)2) है। इसलिए दोहराया मूल \(\frac{1}{5}\) है।

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समीकरण \(16x^2-8x+1=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(16x^2-8x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{4}\)

Step 1

Concept

(16x-2-8x+1=(4x-1)2). Therefore the repeated root is \(\frac{1}{4}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{4}\). (16x-2-8x+1=(4x-1)2). Therefore the repeated root is \(\frac{1}{4}\).

Step 3

Exam Tip

(16x-2-8x+1=(4x-1)2) है। इसलिए दोहराया मूल \(\frac{1}{4}\) है।

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समीकरण \(9x^2-6x+1=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(9x^2-6x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{3}\)

Step 1

Concept

(9x-2-6x+1=(3x-1)2). Therefore the repeated root is \(\frac{1}{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{3}\). (9x-2-6x+1=(3x-1)2). Therefore the repeated root is \(\frac{1}{3}\).

Step 3

Exam Tip

(9x-2-6x+1=(3x-1)2) है। इसलिए दोहराया मूल \(\frac{1}{3}\) है।

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समीकरण \(x^2-12x+36=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2-12x+36=0\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

(x-2-12x+36=(x-6)2). Therefore the repeated root is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). (x-2-12x+36=(x-6)2). Therefore the repeated root is (6).

Step 3

Exam Tip

(x-2-12x+36=(x-6)2) है। इसलिए दोहराया हुआ मूल (6) है।

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समीकरण \(x^2-8x+16=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2-8x+16=0\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(x-2-8x+16=(x-4)2). Therefore the repeated root is (4).

Step 2

Why this answer is correct

The correct answer is A. (4). (x-2-8x+16=(x-4)2). Therefore the repeated root is (4).

Step 3

Exam Tip

(x-2-8x+16=(x-4)2) है। इसलिए दोहराया हुआ मूल (4) है।

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समीकरण \(x^2+2x+1=0\) का दोहराया हुआ मूल क्या है?

What is the repeated root of \(x^2+2x+1=0\)?

Explanation opens after your attempt
Correct Answer

B. (-1)

Step 1

Concept

(x-2+2x+1=(x+1)2) so the repeated root is (-1). Recognising a perfect square is useful.

Step 2

Why this answer is correct

The correct answer is B. (-1). (x-2+2x+1=(x+1)2) so the repeated root is (-1). Recognising a perfect square is useful.

Step 3

Exam Tip

(x-2+2x+1=(x+1)2) इसलिए दोहराया मूल (-1) है। पूर्ण वर्ग को पहचानना उपयोगी है।

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युग्मनज से भ्रूण बनने की प्रक्रिया में लगातार कोशिका विभाजन क्यों आवश्यक है?

Why is repeated cell division necessary for formation of embryo from zygote?

Explanation opens after your attempt
Correct Answer

A. एक कोशिका से बहुकोशिकीय संरचना बनने के लिएTo form a multicellular structure from one cell

Step 1

Concept

A zygote is a single cell formed after fertilisation.

Step 2

Why this answer is correct

To form an embryo the number of cells must increase.

Step 3

Exam Tip

Repeated division forms a group of cells. चरण 1: युग्मनज निषेचन के बाद बनी एक कोशिका है। चरण 2: भ्रूण बनने के लिए कोशिकाओं की संख्या बढ़नी चाहिए। चरण 3: लगातार विभाजन से कोशिकाओं का समूह बनता है।

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राष्ट्रीय प्रतीकों में बार-बार दिखाई जाने वाली वीरता किस उद्देश्य से जुड़ी थी?

Repeated display of heroism in national symbols was connected with which purpose?

Explanation opens after your attempt
Correct Answer

A. राष्ट्र के लिए संघर्ष और बलिदान की भावना जगानाTo arouse the spirit of struggle and sacrifice for the nation

Step 1

Concept

Symbols of heroism inspire people.

Step 2

Why this answer is correct

Nationalism valued struggle and sacrifice.

Step 3

Exam Tip

Therefore images of heroism increased national loyalty. चरण 1: वीरता के प्रतीक लोगों को प्रेरित करते हैं। चरण 2: राष्ट्रवाद में संघर्ष और बलिदान को महत्वपूर्ण माना गया। चरण 3: इसलिए वीरता की छवि राष्ट्रीय निष्ठा को बढ़ाती थी।

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मेरीआन की छवि का दोहराया प्रयोग फ्रांसीसी समाज में क्या बनाता था?

What did repeated use of Marianne's image create in French society?

Explanation opens after your attempt
Correct Answer

A. साझा गणतांत्रिक राष्ट्रीय स्मृतिShared republican national memory

Step 1

Concept

Repeated symbols stay in people's minds.

Step 2

Why this answer is correct

Marianne was linked with the French republic and nation.

Step 3

Exam Tip

Therefore repeated use of her image created shared national memory. चरण 1: बार बार दिखने वाले प्रतीक लोगों के मन में टिकते हैं। चरण 2: मेरीआन फ्रांसीसी गणतंत्र और राष्ट्र से जुड़ी थी। चरण 3: इसलिए उसका दोहराया प्रयोग साझा राष्ट्रीय स्मृति बनाता था।

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मेरीआन की छवि का दोहराया प्रयोग किस प्रकार की राष्ट्रीय स्मृति बनाता था?

What kind of national memory was created by repeated use of Marianne's image?

Explanation opens after your attempt
Correct Answer

A. साझा गणतांत्रिक स्मृतिShared republican memory

Step 1

Concept

Repeated symbols stay in people's minds.

Step 2

Why this answer is correct

Marianne was linked with republic and nation.

Step 3

Exam Tip

Her repeated use created shared national memory. चरण 1: बार बार दिखने वाले प्रतीक लोगों के मन में टिक जाते हैं। चरण 2: मेरीआन गणतंत्र और राष्ट्र से जुड़ी थी। चरण 3: उसका दोहराया प्रयोग साझा राष्ट्रीय स्मृति बनाता था।

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मेरीआन की छवि का बार बार उपयोग फ्रांस में किस प्रकार की स्मृति बनाता था?

What kind of memory did repeated use of Marianne's image create in France?

Explanation opens after your attempt
Correct Answer

A. साझा गणतांत्रिक राष्ट्रीय स्मृतिShared republican national memory

Step 1

Concept

Repeated symbols create lasting identity in people's minds.

Step 2

Why this answer is correct

Marianne's image was linked with the French republic.

Step 3

Exam Tip

So repeated use of her image created shared national memory. चरण 1: दोहराए गए प्रतीक लोगों के मन में स्थायी पहचान बनाते हैं। चरण 2: मेरीआन की छवि फ्रांसीसी गणतंत्र से जुड़ी थी। चरण 3: इसलिए उसका बार बार प्रयोग साझा राष्ट्रीय स्मृति बनाता था।

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मैरिआन की छवि का बार बार दिखाई देना फ्रांसीसी नागरिकों पर क्या प्रभाव डाल सकता था?

What effect could the repeated visibility of Marianne's image have on French citizens?

Explanation opens after your attempt
Correct Answer

A. राष्ट्रीय पहचान को रोजमर्रा की चेतना का भाग बनानाMaking national identity part of daily awareness

Step 1

Concept

A repeatedly visible symbol stays in people's minds.

Step 2

Why this answer is correct

Marianne's image linked French national identity with daily life.

Step 3

Exam Tip

In exams connect this with the spread of national consciousness. चरण 1: बार बार दिखने वाला प्रतीक मन में बैठ जाता है। चरण 2: मैरिआन की छवि ने फ्रांसीसी राष्ट्र की पहचान को दैनिक जीवन से जोड़ा। चरण 3: परीक्षा में इसे राष्ट्रीय चेतना के प्रसार से जोड़ें।

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मेरीआन की छवि का बार बार उपयोग फ्रांस में किस भावना को मजबूत करता था?

Repeated use of Marianne's image strengthened which feeling in France?

Explanation opens after your attempt
Correct Answer

A. साझा राष्ट्रीय पहचानShared national identity

Step 1

Concept

Marianne was a national symbol of France.

Step 2

Why this answer is correct

Her image connected people with a shared republican identity.

Step 3

Exam Tip

Link it with the strengthening of national identity. चरण 1: मेरीआन फ्रांस का राष्ट्रीय प्रतीक थी। चरण 2: उसकी छवि लोगों को एक साझा गणतांत्रिक पहचान से जोड़ती थी। चरण 3: इसे राष्ट्रीय पहचान की मजबूती से जोड़ें।

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दृश्य बनावट और पैटर्न में समानता क्या हो सकती है?

What can be a similarity between visual texture and pattern?

Explanation opens after your attempt
Correct Answer

C. दोनों में दोहराए चिह्न हो सकते हैंBoth can have repeated marks

Step 1

Concept

Repeated marks can create both surface effect and pattern. Exam tip: understand texture pattern relation.

Step 2

Why this answer is correct

The correct answer is C. दोनों में दोहराए चिह्न हो सकते हैं / Both can have repeated marks. Repeated marks can create both surface effect and pattern. Exam tip: understand texture pattern relation.

Step 3

Exam Tip

दोहराए चिह्न सतह प्रभाव और पैटर्न दोनों बना सकते हैं। परीक्षा में texture pattern relation समझें।

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कौन सा \(5^4\) के बराबर है?

Which is equal to \(5^4\)?

Explanation opens after your attempt
Correct Answer

C. \(5\cdot5\cdot5\cdot5\)

Step 1

Concept

\(5^4\) means multiplying (5) by itself (4) times. An exponent shows repeated multiplication.

Step 2

Why this answer is correct

The correct answer is C. \(5\cdot5\cdot5\cdot5\). \(5^4\) means multiplying (5) by itself (4) times. An exponent shows repeated multiplication.

Step 3

Exam Tip

\(5^4\) का अर्थ (5) को (4) बार गुणा करना है। घात बार-बार गुणा को दिखाती है।

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कौन सा \(4^3\) के बराबर है?

Which is equal to \(4^3\)?

Explanation opens after your attempt
Correct Answer

C. \(4\cdot4\cdot4\)

Step 1

Concept

\(4^3\) means multiplying (4) by itself (3) times. An exponent shows repeated multiplication.

Step 2

Why this answer is correct

The correct answer is C. \(4\cdot4\cdot4\). \(4^3\) means multiplying (4) by itself (3) times. An exponent shows repeated multiplication.

Step 3

Exam Tip

\(4^3\) का अर्थ (4) को (3) बार गुणा करना है। घात बार-बार गुणा को दिखाती है।

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कौन सा \(2^5\) के बराबर है?

Which is equal to \(2^5\)?

Explanation opens after your attempt
Correct Answer

B. \(2\cdot2\cdot2\cdot2\cdot2\)

Step 1

Concept

\(2^5\) means multiplying (2) by itself (5) times. An exponent shows repeated multiplication.

Step 2

Why this answer is correct

The correct answer is B. \(2\cdot2\cdot2\cdot2\cdot2\). \(2^5\) means multiplying (2) by itself (5) times. An exponent shows repeated multiplication.

Step 3

Exam Tip

\(2^5\) का अर्थ (2) को (5) बार गुणा करना है। घात बार-बार गुणा को दिखाती है।

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\(x^2-2\sqrt{17}x+17=0\) का मूल क्या है?

What is the root of \(x^2-2\sqrt{17}x+17=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\sqrt{17}\)

Step 1

Concept

(\(x-\sqrt{17}\)2=0), so the repeated root is \(\sqrt{17}\). In exams, ((x-a)2=0) gives (x=a).

Step 2

Why this answer is correct

The correct answer is A. \(x=\sqrt{17}\). (\(x-\sqrt{17}\)2=0), so the repeated root is \(\sqrt{17}\). In exams, ((x-a)2=0) gives (x=a).

Step 3

Exam Tip

(\(x-\sqrt{17}\)2=0), इसलिए दोहराया हुआ मूल \(\sqrt{17}\) है। परीक्षा में ((x-a)2=0) से (x=a) मिलता है।

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\(x^2+2\sqrt{13}x+13=0\) का मूल क्या है?

What is the root of \(x^2+2\sqrt{13}x+13=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=-\sqrt{13}\)

Step 1

Concept

(\(x+\sqrt{13}\)2=0), so the repeated root is \(-\sqrt{13}\). In exams, ((x+a)2=0) gives (x=-a).

Step 2

Why this answer is correct

The correct answer is A. \(x=-\sqrt{13}\). (\(x+\sqrt{13}\)2=0), so the repeated root is \(-\sqrt{13}\). In exams, ((x+a)2=0) gives (x=-a).

Step 3

Exam Tip

(\(x+\sqrt{13}\)2=0), इसलिए दोहराया हुआ मूल \(-\sqrt{13}\) है। परीक्षा में ((x+a)2=0) से (x=-a) मिलता है।

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\(x^2-2\sqrt{11}x+11=0\) का मूल क्या है?

What is the root of \(x^2-2\sqrt{11}x+11=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\sqrt{11}\)

Step 1

Concept

(\(x-\sqrt{11}\)2=0), so the repeated root is \(\sqrt{11}\). In exams, ((x-a)2=0) gives (x=a).

Step 2

Why this answer is correct

The correct answer is A. \(x=\sqrt{11}\). (\(x-\sqrt{11}\)2=0), so the repeated root is \(\sqrt{11}\). In exams, ((x-a)2=0) gives (x=a).

Step 3

Exam Tip

(\(x-\sqrt{11}\)2=0), इसलिए दोहराया हुआ मूल \(\sqrt{11}\) है। परीक्षा में ((x-a)2=0) से (x=a) मिलता है।

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\(x^2+2\sqrt{7}x+7=0\) का मूल क्या है?

What is the root of \(x^2+2\sqrt{7}x+7=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=-\sqrt{7}\)

Step 1

Concept

(\(x+\sqrt{7}\)2=0), so the repeated root is \(-\sqrt{7}\). In exams, ((x+a)2=0) gives (x=-a).

Step 2

Why this answer is correct

The correct answer is A. \(x=-\sqrt{7}\). (\(x+\sqrt{7}\)2=0), so the repeated root is \(-\sqrt{7}\). In exams, ((x+a)2=0) gives (x=-a).

Step 3

Exam Tip

(\(x+\sqrt{7}\)2=0), इसलिए दोहराया हुआ मूल \(-\sqrt{7}\) है। परीक्षा में ((x+a)2=0) से (x=-a) मिलता है।

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\(x^2-2\sqrt{5}x+5=0\) का मूल क्या है?

What is the root of \(x^2-2\sqrt{5}x+5=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\sqrt{5}\)

Step 1

Concept

(\(x-\sqrt{5}\)2=0), so the repeated root is \(\sqrt{5}\). In exams, ((x-a)2=0) gives (x=a).

Step 2

Why this answer is correct

The correct answer is A. \(x=\sqrt{5}\). (\(x-\sqrt{5}\)2=0), so the repeated root is \(\sqrt{5}\). In exams, ((x-a)2=0) gives (x=a).

Step 3

Exam Tip

(\(x-\sqrt{5}\)2=0), इसलिए दोहराया हुआ मूल \(\sqrt{5}\) है। परीक्षा में ((x-a)2=0) से (x=a) मिलता है।

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\(x^2+2\sqrt{3}x+3=0\) का मूल क्या है?

What is the root of \(x^2+2\sqrt{3}x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=-\sqrt{3}\)

Step 1

Concept

(\(x+\sqrt{3}\)2=0), so the repeated root is \(-\sqrt{3}\). In exams, ((x+a)2=0) gives (x=-a).

Step 2

Why this answer is correct

The correct answer is A. \(x=-\sqrt{3}\). (\(x+\sqrt{3}\)2=0), so the repeated root is \(-\sqrt{3}\). In exams, ((x+a)2=0) gives (x=-a).

Step 3

Exam Tip

(\(x+\sqrt{3}\)2=0), इसलिए दोहराया हुआ मूल \(-\sqrt{3}\) है। परीक्षा में ((x+a)2=0) से (x=-a) मिलता है।

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\(49x^2-42x+9=0\) का मूल क्या है?

What is the root of \(49x^2-42x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{3}{7}\)

Step 1

Concept

((7x-3)2=0), so (7x-3=0) and \(x=\frac{3}{7}\). In exams, solve the linear equation after square form.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{3}{7}\). ((7x-3)2=0), so (7x-3=0) and \(x=\frac{3}{7}\). In exams, solve the linear equation after square form.

Step 3

Exam Tip

((7x-3)2=0), इसलिए (7x-3=0) और \(x=\frac{3}{7}\) है। परीक्षा में वर्ग रूप के बाद रैखिक समीकरण हल करें।

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\(25x^2-20x+4=0\) का मूल क्या है?

What is the root of \(25x^2-20x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{2}{5}\)

Step 1

Concept

((5x-2)2=0), so (5x-2=0) and \(x=\frac{2}{5}\). In exams, solve the linear equation after square form.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{2}{5}\). ((5x-2)2=0), so (5x-2=0) and \(x=\frac{2}{5}\). In exams, solve the linear equation after square form.

Step 3

Exam Tip

((5x-2)2=0), इसलिए (5x-2=0) और \(x=\frac{2}{5}\) है। परीक्षा में वर्ग रूप के बाद रैखिक समीकरण हल करें।

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\(9x^2-30x+25=0\) का मूल क्या है?

What is the root of \(9x^2-30x+25=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{5}{3}\)

Step 1

Concept

((3x-5)2=0), so (3x-5=0) and \(x=\frac{5}{3}\). In exams, solve the linear equation after square form.

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{5}{3}\). ((3x-5)2=0), so (3x-5=0) and \(x=\frac{5}{3}\). In exams, solve the linear equation after square form.

Step 3

Exam Tip

((3x-5)2=0), इसलिए (3x-5=0) और \(x=\frac{5}{3}\) है। परीक्षा में वर्ग रूप के बाद रैखिक समीकरण हल करें।

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\(x^2-12x+36=0\) का मूल क्या होगा?

What will be the root of \(x^2-12x+36=0\)?

Explanation opens after your attempt
Correct Answer

A. (x=6)

Step 1

Concept

((x-6)2=0), so both equal roots are (x=6). In exams, a perfect square equation gives a repeated root.

Step 2

Why this answer is correct

The correct answer is A. (x=6). ((x-6)2=0), so both equal roots are (x=6). In exams, a perfect square equation gives a repeated root.

Step 3

Exam Tip

((x-6)2=0), इसलिए दोनों समान मूल (x=6) हैं। परीक्षा में पूर्ण वर्ग समीकरण में दोहराया हुआ मूल मिलता है।

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यदि (p(x)=x-2+2\sqrt{5}x+5), तो इसका वास्तविक शून्यक क्या है?

If (p(x)=x-2+2\sqrt{5}x+5), what is its real zero?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{5}\) दो बार\(-\sqrt{5}\) twice

Step 1

Concept

(p(x)=\(x+\sqrt{5}\)2), so the zero is \(-\sqrt{5}\) twice. A perfect-square form gives a repeated zero.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{5}\) दो बार / \(-\sqrt{5}\) twice. (p(x)=\(x+\sqrt{5}\)2), so the zero is \(-\sqrt{5}\) twice. A perfect-square form gives a repeated zero.

Step 3

Exam Tip

(p(x)=\(x+\sqrt{5}\)2), इसलिए शून्यक \(-\sqrt{5}\) दो बार है। पूर्ण वर्ग रूप से दोहराया शून्यक मिलता है।

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यदि (p(x)=x-2+2\sqrt{3}x+3), तो इसका शून्यक क्या है?

If (p(x)=x-2+2\sqrt{3}x+3), what is its zero?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{3}\) दो बार\(-\sqrt{3}\) twice

Step 1

Concept

(p(x)=\(x+\sqrt{3}\)2). Therefore the zero is \(-\sqrt{3}\) twice.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{3}\) दो बार / \(-\sqrt{3}\) twice. (p(x)=\(x+\sqrt{3}\)2). Therefore the zero is \(-\sqrt{3}\) twice.

Step 3

Exam Tip

(p(x)=\(x+\sqrt{3}\)2) है। इसलिए शून्यक \(-\sqrt{3}\) दो बार है।

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यदि (p(x)=x-2-2\sqrt{7}x+7), तो शून्यकों की संख्या और प्रकृति क्या है?

If (p(x)=x-2-2\sqrt{7}x+7), what is the number and nature of its zeroes?

Explanation opens after your attempt
Correct Answer

A. एक ही अपरिमेय शून्यक दो बारOne irrational zero repeated twice

Step 1

Concept

It is (\(x-\sqrt{7}\)2). So \(\sqrt{7}\) is a zero occurring twice.

Step 2

Why this answer is correct

The correct answer is A. एक ही अपरिमेय शून्यक दो बार / One irrational zero repeated twice. It is (\(x-\sqrt{7}\)2). So \(\sqrt{7}\) is a zero occurring twice.

Step 3

Exam Tip

यह (\(x-\sqrt{7}\)2) है। इसलिए \(\sqrt{7}\) दो बार आने वाला शून्यक है।

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यदि (p(x)=x-2-4\sqrt{2}x+8), तो यह किस रूप में लिखा जा सकता है?

If (p(x)=x-2-4\sqrt{2}x+8), in which form can it be written?

Explanation opens after your attempt
Correct Answer

A. (\(x-2\sqrt{2}\)2)

Step 1

Concept

Because (\(2\sqrt{2}\)2=8) and the middle term is \(-4\sqrt{2}x\). Hence it is a perfect square.

Step 2

Why this answer is correct

The correct answer is A. (\(x-2\sqrt{2}\)2). Because (\(2\sqrt{2}\)2=8) and the middle term is \(-4\sqrt{2}x\). Hence it is a perfect square.

Step 3

Exam Tip

क्योंकि (\(2\sqrt{2}\)2=8) और बीच का पद \(-4\sqrt{2}x\) है। अतः यह पूर्ण वर्ग है।

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यदि (p(x)=x-2-2\sqrt{5}x+5) है, तो इसके शून्यकों के बारे में सही कथन कौन सा है?

If (p(x)=x-2-2\sqrt{5}x+5), which statement about its zeroes is correct?

Explanation opens after your attempt
Correct Answer

A. दोनों शून्यक \(\sqrt{5}\) हैंBoth zeroes are \(\sqrt{5}\)

Step 1

Concept

This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.

Step 2

Why this answer is correct

The correct answer is A. दोनों शून्यक \(\sqrt{5}\) हैं / Both zeroes are \(\sqrt{5}\). This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.

Step 3

Exam Tip

यह बहुपद (\(x-\sqrt{5}\)2) के बराबर है। अतः \(\sqrt{5}\) दोहरा शून्यक है।

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यदि (p(x)=(x+2)2) है तो ग्राफ (x)-अक्ष के साथ कैसा व्यवहार करेगा?

If (p(x)=(x+2)2), how will its graph behave with the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-2,0)) पर छुएगाIt will touch at ((-2,0))

Step 1

Concept

The repeated factor gives equal zero (-2). A quadratic parabola generally touches the (x)-axis at such a point.

Step 2

Why this answer is correct

The correct answer is A. ((-2,0)) पर छुएगा / It will touch at ((-2,0)). The repeated factor gives equal zero (-2). A quadratic parabola generally touches the (x)-axis at such a point.

Step 3

Exam Tip

दोहराए गुणनखंड से समान शून्यक (-2) मिलता है। द्विघात परवलय ऐसे बिंदु पर सामान्यतः (x)-अक्ष को छूता है।

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यदि (x)-अक्ष से मिलने वाले बिंदु ((-11,0)), ((-11,0)), ((4,0)), ((4,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-11,0)), ((-11,0)), ((4,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Repeated points give the same (x)-values, so the distinct zeroes are (-11) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Repeated points give the same (x)-values, so the distinct zeroes are (-11) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

दोहराए बिंदु समान (x)-मान देते हैं, इसलिए अलग शून्यक (-11) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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यदि (x)-अक्ष से मिलने वाले बिंदु ((-7,0)), ((-7,0)), ((2,0)), ((2,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-7,0)), ((-7,0)), ((2,0)), ((2,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

Repeated points give the same (x)-values, so the distinct zeroes are (-7) and (2). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. Repeated points give the same (x)-values, so the distinct zeroes are (-7) and (2). Tip: count the same (x)-value once.

Step 3

Exam Tip

दोहराए बिंदु समान (x)-मान देते हैं, इसलिए अलग शून्यक (-7) और (2) हैं। टिप: समान (x)-मान को एक बार गिनें।

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यदि (x)-अक्ष से मिलने वाले बिंदु ((-5,0)), ((-5,0)), ((4,0)) लिखे हैं तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((-5,0)), ((-5,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((-5,0)) is repeated, so the distinct zeroes are (-5) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((-5,0)) is repeated, so the distinct zeroes are (-5) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

((-5,0)) दोहराया गया है इसलिए अलग शून्यक (-5) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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यदि (p(x)=(x-4)(x+7)3) है तो अलग शून्यक कौन से हैं?

If (p(x)=(x-4)(x+7)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (4) और (-7)(4) and (-7)

Step 1

Concept

The zeroes are (4) and (-7), but (-7) is repeated. Tip: count repetition once for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (4) और (-7) / (4) and (-7). The zeroes are (4) and (-7), but (-7) is repeated. Tip: count repetition once for distinct zeroes.

Step 3

Exam Tip

शून्यक (4) और (-7) हैं पर (-7) दोहराया गया है। टिप: अलग शून्यक में दोहराव को एक बार गिनें।

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यदि (x)-अक्ष से मिलने वाले बिंदु ((2,0)), ((2,0)), ((9,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis are written as ((2,0)), ((2,0)), ((9,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((2,0)) is repeated, so the distinct zeroes are (2) and (9). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((2,0)) is repeated, so the distinct zeroes are (2) and (9). Tip: count the same (x)-value once.

Step 3

Exam Tip

((2,0)) दोहराया गया है, इसलिए अलग शून्यक (2) और (9) हैं। टिप: समान (x)-मान को एक बार गिनें।

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यदि (p(x)=(x-2)(x+6)3) है, तो अलग शून्यक कौन से हैं?

If (p(x)=(x-2)(x+6)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (2) और (-6)(2) and (-6)

Step 1

Concept

The zeroes are (2) and (-6), but (-6) is repeated. Tip: count repetition once for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (2) और (-6) / (2) and (-6). The zeroes are (2) and (-6), but (-6) is repeated. Tip: count repetition once for distinct zeroes.

Step 3

Exam Tip

शून्यक (2) और (-6) हैं, पर (-6) दोहराया गया है। टिप: अलग शून्यक में दोहराव एक बार गिनें।

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यदि किसी बहुपद के ग्राफ में (x)-अक्ष से मिलने वाले बिंदु ((1,0)), ((1,0)), ((4,0)) लिखे हैं, तो अलग वास्तविक शून्यक कितने हैं?

If the points meeting the (x)-axis on a polynomial graph are written as ((1,0)), ((1,0)), ((4,0)), how many distinct real zeroes are there?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

((1,0)) is repeated, so the distinct zeroes are (1) and (4). Tip: count the same (x)-value once.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. ((1,0)) is repeated, so the distinct zeroes are (1) and (4). Tip: count the same (x)-value once.

Step 3

Exam Tip

((1,0)) दोहराया गया है, इसलिए अलग शून्यक (1) और (4) हैं। टिप: समान (x)-मान को एक बार गिनें।

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यदि (p(x)=(x+1)(x-4)3) है, तो अलग शून्यक कौन से हैं?

If (p(x)=(x+1)(x-4)3), what are the distinct zeroes?

Explanation opens after your attempt
Correct Answer

A. (-1) और (4)(-1) and (4)

Step 1

Concept

The zeroes are (-1) and (4), but (4) is repeated. Tip: do not count repetition in distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-1) और (4) / (-1) and (4). The zeroes are (-1) and (4), but (4) is repeated. Tip: do not count repetition in distinct zeroes.

Step 3

Exam Tip

शून्यक (-1) और (4) हैं, पर (4) दोहराया गया है। टिप: अलग शून्यक में दोहराव न गिनें।

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यदि (p(x)=(x+3)(x-1)2) है तो ग्राफ (x)-अक्ष से कितने अलग बिंदुओं पर मिलेगा?

If (p(x)=(x+3)(x-1)2), at how many distinct points will the graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

The zeroes are (-3) and (1), so there are two distinct meeting points. Tip: count the repeated zero (1) only once for distinct points.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. The zeroes are (-3) and (1), so there are two distinct meeting points. Tip: count the repeated zero (1) only once for distinct points.

Step 3

Exam Tip

शून्यक (-3) और (1) हैं, इसलिए दो अलग बिंदु मिलेंगे। टिप: दोहराए हुए शून्यक (1) को अलग गिनती में एक बार गिनें।

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यदि किसी बहुपद के वास्तविक शून्यक (5), (5), (-1) हैं तो अलग वास्तविक शून्यक कौन से हैं?

If the real zeroes of a polynomial are (5), (5), (-1), what are the distinct real zeroes?

Explanation opens after your attempt
Correct Answer

A. (5) और (-1)(5) and (-1)

Step 1

Concept

The repeated (5) is counted only once among distinct zeroes. Tip: make a list of distinct values.

Step 2

Why this answer is correct

The correct answer is A. (5) और (-1) / (5) and (-1). The repeated (5) is counted only once among distinct zeroes. Tip: make a list of distinct values.

Step 3

Exam Tip

दोहराया (5) अलग शून्यक में एक बार ही गिना जाता है। टिप: अलग मानों की सूची बनाएं।

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यदि किसी ग्राफ के बिंदु ((3,0)) और ((3,0)) एक ही स्पर्श को दो बार दिखा रहे हैं तो अलग शून्यक कितने हैं?

If the points ((3,0)) and ((3,0)) show the same touch twice on a graph, how many distinct zeroes are there?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

Both have the same (x)-value (3), so there is one distinct zero. Tip: count a repeated value once for distinct count.

Step 2

Why this answer is correct

The correct answer is A. एक / One. Both have the same (x)-value (3), so there is one distinct zero. Tip: count a repeated value once for distinct count.

Step 3

Exam Tip

दोनों में (x)-मान समान (3) है इसलिए अलग शून्यक एक है। टिप: दोहराए मान को अलग गिनती में एक बार लें।

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यदि किसी बहुपद के वास्तविक शून्यक (2), (2) और (-5) लिखे हैं, तो अलग वास्तविक शून्यक कौन से हैं?

If the real zeroes of a polynomial are written as (2), (2) and (-5), what are the distinct real zeroes?

Explanation opens after your attempt
Correct Answer

A. (2) और (-5)(2) and (-5)

Step 1

Concept

The repeated (2) is counted once for distinct zeroes. Tip: do not rewrite the same value for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. (2) और (-5) / (2) and (-5). The repeated (2) is counted once for distinct zeroes. Tip: do not rewrite the same value for distinct zeroes.

Step 3

Exam Tip

दोहराया (2) अलग शून्यक में एक बार गिना जाता है। टिप: अलग शून्यक में समान मान पुनः न लिखें।

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यदि किसी ग्राफ में ((4,0)) और ((4,0)) वही स्पर्श बिंदु दो बार लिखा है, तो अलग शून्यक कितने हैं?

If the same touching point ((4,0)) is written twice on a graph, how many distinct zeroes are there?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

The same (x)-value (4) is repeated, so there is one distinct zero. Tip: do not count repetition for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. एक / One. The same (x)-value (4) is repeated, so there is one distinct zero. Tip: do not count repetition for distinct zeroes.

Step 3

Exam Tip

एक ही (x)-मान (4) दोहराया गया है इसलिए अलग शून्यक एक है। टिप: अलग शून्यक में दोहराव न गिनें।

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यदि (p(x)=(x-6)2) है तो आलेख (x)-अक्ष के साथ क्या करेगा?

If (p(x)=(x-6)2), what will the graph do with the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (x=6) पर स्पर्श करेगाIt will touch at (x=6)

Step 1

Concept

The squared factor gives one repeated zero (6). Tip: a repeated zero often shows touching.

Step 2

Why this answer is correct

The correct answer is A. (x=6) पर स्पर्श करेगा / It will touch at (x=6). The squared factor gives one repeated zero (6). Tip: a repeated zero often shows touching.

Step 3

Exam Tip

वर्ग कारक से एक दोहराया शून्यक (6) मिलता है। टिप: दोहराया शून्यक अक्सर स्पर्श दिखाता है।

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यदि (p(x)=2(x-3)2), तो ग्राफ (x)-अक्ष को कैसे मिलेगा?

If (p(x)=2(x-3)2), how will the graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (x=3) पर स्पर्श करेगाIt will touch at (x=3)

Step 1

Concept

((x-3)2=0) gives only (x=3), and the square causes touching. Tip: the outside (2) does not change the zero.

Step 2

Why this answer is correct

The correct answer is A. (x=3) पर स्पर्श करेगा / It will touch at (x=3). ((x-3)2=0) gives only (x=3), and the square causes touching. Tip: the outside (2) does not change the zero.

Step 3

Exam Tip

((x-3)2=0) से केवल (x=3) मिलता है और वर्ग के कारण स्पर्श होता है। टिप: बाहर का (2) शून्यक नहीं बदलता।

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यदि (p(x)=(x+1)2), तो ग्राफ (x)-अक्ष से कैसे मिलेगा?

If (p(x)=(x+1)2), how will the graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. (x=-1) पर स्पर्श करेगाIt will touch at (x=-1)

Step 1

Concept

((x+1)2=0) gives only (x=-1), and it is a repeated zero. Tip: a squared factor often indicates touching.

Step 2

Why this answer is correct

The correct answer is B. (x=-1) पर स्पर्श करेगा / It will touch at (x=-1). ((x+1)2=0) gives only (x=-1), and it is a repeated zero. Tip: a squared factor often indicates touching.

Step 3

Exam Tip

((x+1)2=0) से केवल (x=-1) मिलता है और यह दोहराया शून्यक है। टिप: वर्ग वाले कारक में स्पर्श की संभावना देखें।

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परवलय (x)-अक्ष को ((2,0)) और ((2,0)) पर ही छूता है। अलग वास्तविक शून्यकों की संख्या क्या है?

A parabola touches the (x)-axis only at ((2,0)). What is the number of distinct real zeroes?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

For a repeated zero the only distinct (x)-value is (2). Tip: do not count the same point twice for distinct zeroes.

Step 2

Why this answer is correct

The correct answer is A. एक / One. For a repeated zero the only distinct (x)-value is (2). Tip: do not count the same point twice for distinct zeroes.

Step 3

Exam Tip

दोहराया शून्यक होने पर अलग (x)-मान केवल (2) है। टिप: अलग शून्यक गिनते समय समान बिंदु दो बार न गिनें।

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राष्ट्रवादी चित्रों में बार बार दिखने वाले प्रतीकों का मनोवैज्ञानिक प्रभाव क्या था?

What was the psychological effect of repeatedly visible symbols in nationalist images?

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Correct Answer

A. वे राष्ट्रीय पहचान को लोगों की चेतना में मजबूत करते थेThey strengthened national identity in people's consciousness

Step 1

Concept

A repeatedly seen sign settles in memory.

Step 2

Why this answer is correct

National symbols strengthen the image of the nation in people's minds.

Step 3

Exam Tip

In exams connect this with the making of national consciousness. चरण 1: बार बार दिखने वाला चिह्न स्मृति में बैठता है। चरण 2: राष्ट्रीय प्रतीक लोगों के मन में राष्ट्र की छवि मजबूत करते हैं। चरण 3: परीक्षा में इसे राष्ट्रीय चेतना के निर्माण से जोड़ें।

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राष्ट्रवादी चित्रों में बार बार दिखने वाले प्रतीकों का मनोवैज्ञानिक प्रभाव क्या था?

What was the psychological effect of repeatedly visible symbols in nationalist images?

Explanation opens after your attempt
Correct Answer

A. वे राष्ट्रीय पहचान को लोगों की चेतना में मजबूत करते थेThey strengthened national identity in people's consciousness

Step 1

Concept

A repeatedly seen sign settles in memory.

Step 2

Why this answer is correct

National symbols strengthen the image of the nation in people's minds.

Step 3

Exam Tip

In exams connect this with the making of national consciousness. चरण 1: बार बार दिखने वाला चिह्न स्मृति में बैठता है। चरण 2: राष्ट्रीय प्रतीक लोगों के मन में राष्ट्र की छवि मजबूत करते हैं। चरण 3: परीक्षा में इसे राष्ट्रीय चेतना के निर्माण से जोड़ें।

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