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82 results found for "data verification" in Class 10.

एक मोबाइल डेटा योजना में पहले दिन (5) जीबी डेटा मिलता है और हर अगले दिन (3) जीबी अधिक मिलता है। (16)वें दिन कितना डेटा मिलेगा?

In a mobile data plan (5) GB data is given on the first day and (3) GB more each next day. How much data is given on the (16)th day?

Explanation opens after your attempt
Correct Answer

B. (50)

Step 1

Concept

The data amounts are \(5,8,11,\ldots\) and \(a_{16}=50\). Exam tip: take the day number as the term number.

Step 2

Why this answer is correct

The correct answer is B. (50). The data amounts are \(5,8,11,\ldots\) and \(a_{16}=50\). Exam tip: take the day number as the term number.

Step 3

Exam Tip

डेटा मात्रा \(5,8,11,\ldots\) है और \(a_{16}=50\)। परीक्षा में दिन संख्या को पद संख्या मानें।

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एक मोबाइल डेटा योजना में पहले दिन (3) जीबी डेटा मिलता है और हर अगले दिन (2) जीबी अधिक मिलता है। (15)वें दिन कितना डेटा मिलेगा?

In a mobile data plan (3) GB data is given on the first day and (2) GB more each next day. How much data is given on the (15)th day?

Explanation opens after your attempt
Correct Answer

B. (31) जीबी

Step 1

Concept

The data amounts are \(3,5,7,\ldots\) and \(a_{15}=31\). Exam tip: take the day number as the term number.

Step 2

Why this answer is correct

The correct answer is B. (31) जीबी. The data amounts are \(3,5,7,\ldots\) and \(a_{15}=31\). Exam tip: take the day number as the term number.

Step 3

Exam Tip

डेटा मात्रा \(3,5,7,\ldots\) है और \(a_{15}=31\)। परीक्षा में दिन संख्या को पद संख्या मानें।

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एक मोबाइल डेटा योजना में पहले दिन (2) जीबी डेटा मिलता है और हर अगले दिन (3) जीबी अधिक मिलता है। (8) दिनों में कुल कितना डेटा मिलेगा?

In a mobile data plan (2) GB data is given on the first day and (3) GB more each next day. How much total data is given in (8) days?

Explanation opens after your attempt
Correct Answer

C. (100) जीबी(100) GB

Step 1

Concept

The data amounts are \(2,5,8,\ldots\). \(S_8=100\) GB.

Step 2

Why this answer is correct

The correct answer is C. (100) जीबी / (100) GB. The data amounts are \(2,5,8,\ldots\). \(S_8=100\) GB.

Step 3

Exam Tip

डेटा मात्रा \(2,5,8,\ldots\) है। \(S_8=100\) जीबी होगा।

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एक मोबाइल डेटा योजना में पहले दिन (1) जीबी डेटा मिलता है और हर अगले दिन (2) जीबी अधिक मिलता है। (10) दिनों में कुल कितना डेटा मिलेगा?

In a mobile data plan (1) GB data is given on the first day and (2) GB more each next day. How much total data is given in (10) days?

Explanation opens after your attempt
Correct Answer

C. (100) जीबी

Step 1

Concept

The data amounts are \(1,3,5,\ldots\). \(S_{10}=100\) GB.

Step 2

Why this answer is correct

The correct answer is C. (100) जीबी. The data amounts are \(1,3,5,\ldots\). \(S_{10}=100\) GB.

Step 3

Exam Tip

डेटा मात्रा \(1,3,5,\ldots\) है। \(S_{10}=100\) जीबी होगा।

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एक मोबाइल डेटा प्लान में पहले दिन (2) जीबी डेटा मिलता है और हर अगले दिन (1) जीबी अधिक मिलता है। (14)वें दिन कितना डेटा मिलेगा?

In a mobile data plan, (2) GB data is given on the first day and (1) GB more each next day. How much data is given on the (14)th day?

Explanation opens after your attempt
Correct Answer

B. (15) जीबी

Step 1

Concept

The data amounts are \(2,3,4,\ldots\). (a_{14}=2+13(1)=15).

Step 2

Why this answer is correct

The correct answer is B. (15) जीबी. The data amounts are \(2,3,4,\ldots\). (a_{14}=2+13(1)=15).

Step 3

Exam Tip

डेटा मात्रा \(2,3,4,\ldots\) है। (a_{14}=2+13(1)=15)।

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एक मोबाइल रिचार्ज योजना में डाटा हर दिन (1.5) जीबी बढ़ता है। डाटा \(2,3.5,5,6.5,\ldots\) है तो (d) क्या है?

In a mobile recharge plan, data increases by (1.5) GB each day. The data is \(2,3.5,5,6.5,\ldots\). What is (d)?

Explanation opens after your attempt
Correct Answer

B. (1.5)

Step 1

Concept

The equal daily increase is (1.5), so (d=1.5). In word problems treat the equal increase as the common difference.

Step 2

Why this answer is correct

The correct answer is B. (1.5). The equal daily increase is (1.5), so (d=1.5). In word problems treat the equal increase as the common difference.

Step 3

Exam Tip

हर दिन समान वृद्धि (1.5) है इसलिए (d=1.5)। शब्द प्रश्नों में समान वृद्धि को सार्व अंतर मानें।

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संसाधन नियोजन में आंकड़ों की जरूरत क्यों पड़ती है?

Why are data needed in resource planning?

Explanation opens after your attempt
Correct Answer

A. संसाधनों की मात्रा स्थान और उपयोग समझने के लिएTo understand quantity location and use of resources

Step 1

Concept

Balanced planning is difficult without correct information. Exam tip: write the relation between survey and planning.

Step 2

Why this answer is correct

The correct answer is A. संसाधनों की मात्रा स्थान और उपयोग समझने के लिए / To understand quantity location and use of resources. Balanced planning is difficult without correct information. Exam tip: write the relation between survey and planning.

Step 3

Exam Tip

सही जानकारी के बिना संतुलित योजना कठिन होती है। परीक्षा में सर्वेक्षण और योजना का संबंध लिखें।

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डिजिटल क्रांति में डेटा को नया संसाधन क्यों कहा जाता है?

Why is data called a new resource in the Digital Revolution?

Explanation opens after your attempt
Correct Answer

A. क्योंकि डेटा निर्णय अर्थव्यवस्था और नियंत्रण को प्रभावित करता हैBecause data affects decisions economy and control

Step 1

Concept

In the digital age information and data become economic and social power. For exams see the relation between knowledge and power.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि डेटा निर्णय अर्थव्यवस्था और नियंत्रण को प्रभावित करता है / Because data affects decisions economy and control. In the digital age information and data become economic and social power. For exams see the relation between knowledge and power.

Step 3

Exam Tip

डिजिटल युग में सूचना और डेटा आर्थिक और सामाजिक शक्ति बनते हैं। परीक्षा में ज्ञान और शक्ति का संबंध देखें।

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दातार गंज बख्श अली हजवेरी की दरगाह किस शहर से जुड़ी है?

The shrine of Data Ganj Bakhsh Ali Hujwiri is associated with which city?

Explanation opens after your attempt
Correct Answer

A. लाहौरLahore

Step 1

Concept

The shrine of Ali Hujwiri is associated with Lahore. For exams, match Sufi saints with their centres.

Step 2

Why this answer is correct

The correct answer is A. लाहौर / Lahore. The shrine of Ali Hujwiri is associated with Lahore. For exams, match Sufi saints with their centres.

Step 3

Exam Tip

अली हजवेरी की दरगाह लाहौर से जुड़ी है। परीक्षा में सूफी संतों को उनके केंद्रों से मिलाएं।

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समांतर श्रेढ़ी \(5,9,13,\ldots\) में पहले कितने पदों का योग (425) होगा?

In the AP \(5,9,13,\ldots\), how many first terms have sum (425)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

From (\frac{n}{2}[10+4(n-1)]=425), (n=17). You can also verify by substituting options.

Step 2

Why this answer is correct

The correct answer is C. (17). From (\frac{n}{2}[10+4(n-1)]=425), (n=17). You can also verify by substituting options.

Step 3

Exam Tip

(\frac{n}{2}[10+4(n-1)]=425) से (n=17) मिलता है। विकल्पों में मान रखकर भी जाँच कर सकते हैं।

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रेखा (13x+4y=52) खींचने के लिए कौन सा बिंदु गलत चुना गया है?

Which point is chosen incorrectly for drawing the line (13x+4y=52)?

Explanation opens after your attempt
Correct Answer

D. ((2,8))

Step 1

Concept

Substituting ((2,8)) gives \(13\cdot2+4\cdot8=58\), not (52). Check every point in the equation before drawing the graph.

Step 2

Why this answer is correct

The correct answer is D. ((2,8)). Substituting ((2,8)) gives \(13\cdot2+4\cdot8=58\), not (52). Check every point in the equation before drawing the graph.

Step 3

Exam Tip

((2,8)) रखने पर \(13\cdot2+4\cdot8=58\), जो (52) नहीं है। ग्राफ बनाने से पहले हर बिंदु को समीकरण में जांचें।

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यदि (3x+4y=36) और (9x+12y=108) का ग्राफ बनाया जाए, तो कौन सा बिंदु समाधान होगा?

If the graph of (3x+4y=36) and (9x+12y=108) is drawn, which point will be a solution?

Explanation opens after your attempt
Correct Answer

A. ((4,6))

Step 1

Concept

The second equation is (3) times the first, so every point on (3x+4y=36) is a solution. ((4,6)) lies on this line.

Step 2

Why this answer is correct

The correct answer is A. ((4,6)). The second equation is (3) times the first, so every point on (3x+4y=36) is a solution. ((4,6)) lies on this line.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है, इसलिए (3x+4y=36) पर हर बिंदु समाधान है। ((4,6)) इस रेखा पर है।

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एक ग्राफ में दो रेखाएं ((-4,1)) पर प्रतिच्छेद करती हैं। कौन सा समीकरण युग्म सही है?

Two lines intersect at ((-4,1)) on a graph. Which pair of equations is correct?

Explanation opens after your attempt
Correct Answer

A. (x+y=-3), (2x-y=-9)

Step 1

Concept

Substituting ((-4,1)) makes (x+y=-3) and (2x-y=-9) both true. Substituting the intersection point in both equations is the fastest check.

Step 2

Why this answer is correct

The correct answer is A. (x+y=-3), (2x-y=-9). Substituting ((-4,1)) makes (x+y=-3) and (2x-y=-9) both true. Substituting the intersection point in both equations is the fastest check.

Step 3

Exam Tip

((-4,1)) रखने पर (x+y=-3) और (2x-y=-9) दोनों सही हैं। प्रतिच्छेद बिंदु को दोनों समीकरणों में रखना सबसे तेज जांच है।

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कौन सा बिंदु दोनों रेखाओं (2x+5y=31) और (3x-y=7) पर स्थित है?

Which point lies on both lines (2x+5y=31) and (3x-y=7)?

Explanation opens after your attempt
Correct Answer

A. ((4,3))

Step 1

Concept

Substituting ((4,3)) gives (2x+5y=31) but not (3x-y=7); the true common point is (\left\(\frac{66}{17},\frac{79}{17}\right\)). Verify in both equations before choosing.

Step 2

Why this answer is correct

The correct answer is A. ((4,3)). Substituting ((4,3)) gives (2x+5y=31) but not (3x-y=7); the true common point is (\left\(\frac{66}{17},\frac{79}{17}\right\)). Verify in both equations before choosing.

Step 3

Exam Tip

((4,3)) रखने पर (2x+5y=31) और (3x-y=9) नहीं; सही साझा बिंदु (\left\(\frac{66}{17},\frac{79}{17}\right\)) है। सही उत्तर चुनने से पहले दोनों समीकरणों में जांच करें।

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कौन सा बिंदु दोनों रेखाओं (2x+5y=29) और (3x-y=7) पर स्थित है?

Which point lies on both lines (2x+5y=29) and (3x-y=7)?

Explanation opens after your attempt
Correct Answer

C. ((4,3))

Step 1

Concept

Substituting ((4,3)) does not give (2x+5y=29), so it is not correct; the true solution is (\left\(\frac{64}{17},\frac{73}{17}\right\)). Check a point in both equations.

Step 2

Why this answer is correct

The correct answer is C. ((4,3)). Substituting ((4,3)) does not give (2x+5y=29), so it is not correct; the true solution is (\left\(\frac{64}{17},\frac{73}{17}\right\)). Check a point in both equations.

Step 3

Exam Tip

((4,3)) रखने पर (2x+5y=23) नहीं, इसलिए यह गलत होता; सही हल (\left\(\frac{64}{17},\frac{73}{17}\right\)) है। विकल्प जांचते समय दोनों समीकरणों में बिंदु रखना जरूरी है।

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रेखा (5x+11y=55) के लिए कौन सा बिंदु रेखा पर नहीं है?

Which point does not lie on the line (5x+11y=55)?

Explanation opens after your attempt
Correct Answer

D. ((4,3))

Step 1

Concept

Substituting ((4,3)) gives (20+33=53), not (55). A wrong point can make the graph show a wrong line.

Step 2

Why this answer is correct

The correct answer is D. ((4,3)). Substituting ((4,3)) gives (20+33=53), not (55). A wrong point can make the graph show a wrong line.

Step 3

Exam Tip

((4,3)) रखने पर (20+33=53), जो (55) नहीं है। गलत बिंदु से ग्राफ गलत रेखा दिखा सकता है।

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एक ग्राफ में दो रेखाएं (A(-1,6)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?

Two lines meet at (A(-1,6)) on a graph. Which pair verifies this?

Explanation opens after your attempt
Correct Answer

A. (2x+y=4), (x-y=-7)

Step 1

Concept

Substituting ((-1,6)) makes (2x+y=4) and (x-y=-7) both true. The intersection point must lie on both lines.

Step 2

Why this answer is correct

The correct answer is A. (2x+y=4), (x-y=-7). Substituting ((-1,6)) makes (2x+y=4) and (x-y=-7) both true. The intersection point must lie on both lines.

Step 3

Exam Tip

((-1,6)) रखने पर (2x+y=4) और (x-y=-7) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।

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एक छात्र ने (6x+5y=60) के लिए ((10,0)), ((0,12)) और ((5,6)) चुने। कौन सा कथन सही है?

A student chose ((10,0)), ((0,12)), and ((5,6)) for (6x+5y=60). Which statement is correct?

Explanation opens after your attempt
Correct Answer

B. केवल ((10,0)) और ((0,12)) रेखा पर हैंOnly ((10,0)) and ((0,12)) lie on the line

Step 1

Concept

((10,0)) and ((0,12)) satisfy the equation, but ((5,6)) does not give (60). Check points before drawing the graph.

Step 2

Why this answer is correct

The correct answer is B. केवल ((10,0)) और ((0,12)) रेखा पर हैं / Only ((10,0)) and ((0,12)) lie on the line. ((10,0)) and ((0,12)) satisfy the equation, but ((5,6)) does not give (60). Check points before drawing the graph.

Step 3

Exam Tip

((10,0)) और ((0,12)) समीकरण को संतुष्ट करते हैं, लेकिन ((5,6)) देने पर (60) नहीं मिलता। ग्राफ बनाने से पहले बिंदुओं की जांच करें।

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यदि ग्राफ में दो रेखाओं का प्रतिच्छेद (\left\(\frac{5}{2},-\frac{3}{2}\right\)) है, तो कौन सा युग्म सही हो सकता है?

If the intersection of two lines on a graph is (\left\(\frac{5}{2},-\frac{3}{2}\right\)), which pair can be correct?

Explanation opens after your attempt
Correct Answer

A. \(2x+y=\frac{7}{2}\), \(x-2y=\frac{11}{2}\)

Step 1

Concept

Substituting (\left\(\frac{5}{2},-\frac{3}{2}\right\)) makes both \(2x+y=\frac{7}{2}\) and \(x-2y=\frac{11}{2}\) true. Check the intersection point in both equations.

Step 2

Why this answer is correct

The correct answer is A. \(2x+y=\frac{7}{2}\), \(x-2y=\frac{11}{2}\). Substituting (\left\(\frac{5}{2},-\frac{3}{2}\right\)) makes both \(2x+y=\frac{7}{2}\) and \(x-2y=\frac{11}{2}\) true. Check the intersection point in both equations.

Step 3

Exam Tip

(\left\(\frac{5}{2},-\frac{3}{2}\right\)) रखने पर \(2x+y=\frac{7}{2}\) और \(x-2y=\frac{11}{2}\) दोनों सत्य हैं। प्रतिच्छेद बिंदु को दोनों समीकरणों में जांचें।

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रेखा (4x-9y=36) खींचने के लिए कौन सा बिंदु गलत चुना गया है?

Which point is chosen incorrectly for drawing the line (4x-9y=36)?

Explanation opens after your attempt
Correct Answer

D. ((0,4))

Step 1

Concept

Substituting ((0,4)) gives \(4\cdot0-9\cdot4=-36\), not (36). Check every point in the equation before drawing the graph.

Step 2

Why this answer is correct

The correct answer is D. ((0,4)). Substituting ((0,4)) gives \(4\cdot0-9\cdot4=-36\), not (36). Check every point in the equation before drawing the graph.

Step 3

Exam Tip

((0,4)) रखने पर \(4\cdot0-9\cdot4=-36\), जो (36) नहीं है। ग्राफ बनाने से पहले हर बिंदु को समीकरण में जांचें।

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यदि (2x+3y=18) और (6x+9y=54) का ग्राफ बनाया जाए, तो कौन सा बिंदु समाधान होगा?

If the graph of (2x+3y=18) and (6x+9y=54) is drawn, which point will be a solution?

Explanation opens after your attempt
Correct Answer

A. ((3,4))

Step 1

Concept

The second equation is (3) times the first, so every point on (2x+3y=18) is a solution. ((3,4)) lies on this line.

Step 2

Why this answer is correct

The correct answer is A. ((3,4)). The second equation is (3) times the first, so every point on (2x+3y=18) is a solution. ((3,4)) lies on this line.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है, इसलिए (2x+3y=18) पर हर बिंदु समाधान है। ((3,4)) इस रेखा पर है।

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एक ग्राफ में दो रेखाएं ((-2,-3)) पर प्रतिच्छेद करती हैं। कौन सा समीकरण युग्म सही है?

Two lines intersect at ((-2,-3)) on a graph. Which pair of equations is correct?

Explanation opens after your attempt
Correct Answer

A. (x+y=-5), (2x-y=-1)

Step 1

Concept

Substituting ((-2,-3)) makes (x+y=-5) and (2x-y=-1) both true. Substituting the intersection point in both equations is the fastest check.

Step 2

Why this answer is correct

The correct answer is A. (x+y=-5), (2x-y=-1). Substituting ((-2,-3)) makes (x+y=-5) and (2x-y=-1) both true. Substituting the intersection point in both equations is the fastest check.

Step 3

Exam Tip

((-2,-3)) रखने पर (x+y=-5) और (2x-y=-1) दोनों सही हैं। प्रतिच्छेद बिंदु को दोनों समीकरणों में रखना सबसे तेज जांच है।

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कौन सा बिंदु दोनों रेखाओं (3x+y=14) और (x-2y=-5) पर स्थित है?

Which point lies on both lines (3x+y=14) and (x-2y=-5)?

Explanation opens after your attempt
Correct Answer

A. ((3,5))

Step 1

Concept

Substituting ((3,5)) gives (3x+y=14) but (x-2y=-7), so it is not correct; the true common point is (\left\(\frac{23}{7},\frac{29}{7}\right\)). Detecting option errors is also important.

Step 2

Why this answer is correct

The correct answer is A. ((3,5)). Substituting ((3,5)) gives (3x+y=14) but (x-2y=-7), so it is not correct; the true common point is (\left\(\frac{23}{7},\frac{29}{7}\right\)). Detecting option errors is also important.

Step 3

Exam Tip

((3,5)) रखने पर (3x+y=14) और (x-2y=-7), इसलिए यह नहीं; सही साझा बिंदु (\left\(\frac{23}{7},\frac{29}{7}\right\)) है। विकल्पों की जांच में गलती पकड़ना भी महत्वपूर्ण है।

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रेखा (3x+8y=24) के लिए कौन सा बिंदु रेखा पर नहीं है?

Which point does not lie on the line (3x+8y=24)?

Explanation opens after your attempt
Correct Answer

D. ((4,2))

Step 1

Concept

Substituting ((4,2)) gives (12+16=28), not (24). A wrong point can make the graph show a wrong line.

Step 2

Why this answer is correct

The correct answer is D. ((4,2)). Substituting ((4,2)) gives (12+16=28), not (24). A wrong point can make the graph show a wrong line.

Step 3

Exam Tip

((4,2)) रखने पर (12+16=28), जो (24) नहीं है। गलत बिंदु से ग्राफ गलत रेखा दिखा सकता है।

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एक ग्राफ में दो रेखाएं (A(2,-5)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?

Two lines meet at (A(2,-5)) on a graph. Which pair verifies this?

Explanation opens after your attempt
Correct Answer

A. (3x+y=1), (x-y=7)

Step 1

Concept

Substituting ((2,-5)) makes (3x+y=1) and (x-y=7) both true. The intersection point must lie on both lines.

Step 2

Why this answer is correct

The correct answer is A. (3x+y=1), (x-y=7). Substituting ((2,-5)) makes (3x+y=1) and (x-y=7) both true. The intersection point must lie on both lines.

Step 3

Exam Tip

((2,-5)) रखने पर (3x+y=1) और (x-y=7) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।

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एक छात्र ने (5x+4y=40) के लिए ((8,0)), ((0,10)) और ((4,5)) चुने। कौन सा कथन सही है?

A student chose ((8,0)), ((0,10)), and ((4,5)) for (5x+4y=40). Which statement is correct?

Explanation opens after your attempt
Correct Answer

A. तीनों बिंदु रेखा पर हैंAll three points lie on the line

Step 1

Concept

Substituting all three points makes (5x+4y=40) true. In a graph, three correct points should lie on the same straight line.

Step 2

Why this answer is correct

The correct answer is A. तीनों बिंदु रेखा पर हैं / All three points lie on the line. Substituting all three points makes (5x+4y=40) true. In a graph, three correct points should lie on the same straight line.

Step 3

Exam Tip

तीनों बिंदु रखने पर (5x+4y=40) सत्य मिलता है। ग्राफ में तीन सही बिंदु एक ही सीधी रेखा पर आने चाहिए।

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यदि ग्राफ में दो रेखाओं का प्रतिच्छेद (\left\(-\frac{3}{2},4\right\)) है, तो कौन सा युग्म सही हो सकता है?

If the intersection of two lines on a graph is (\left\(-\frac{3}{2},4\right\)), which pair can be correct?

Explanation opens after your attempt
Correct Answer

A. (2x+y=1), \(x+2y=\frac{13}{2}\)

Step 1

Concept

Substituting (\left\(-\frac{3}{2},4\right\)) makes both (2x+y=1) and \(x+2y=\frac{13}{2}\) true. The intersection point should be checked in both equations.

Step 2

Why this answer is correct

The correct answer is A. (2x+y=1), \(x+2y=\frac{13}{2}\). Substituting (\left\(-\frac{3}{2},4\right\)) makes both (2x+y=1) and \(x+2y=\frac{13}{2}\) true. The intersection point should be checked in both equations.

Step 3

Exam Tip

(\left\(-\frac{3}{2},4\right\)) रखने पर (2x+y=1) और \(x+2y=\frac{13}{2}\) दोनों सत्य हैं। प्रतिच्छेद बिंदु को दोनों समीकरणों में जांचना चाहिए।

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यदि (x+2y=7) और (3x+6y=21) का ग्राफ बनाया जाए, तो कौन सा बिंदु समाधान होगा?

If the graph of (x+2y=7) and (3x+6y=21) is drawn, which point will be a solution?

Explanation opens after your attempt
Correct Answer

A. ((1,3))

Step 1

Concept

The second equation is (3) times the first, so every point on (x+2y=7) is a solution. ((1,3)) lies on this line.

Step 2

Why this answer is correct

The correct answer is A. ((1,3)). The second equation is (3) times the first, so every point on (x+2y=7) is a solution. ((1,3)) lies on this line.

Step 3

Exam Tip

दूसरा समीकरण पहले का (3) गुना है, इसलिए (x+2y=7) पर हर बिंदु समाधान है। ((1,3)) इस रेखा पर है।

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एक ग्राफ में दो रेखाएं ((-3,2)) पर प्रतिच्छेद करती हैं। कौन सा समीकरण युग्म सही है?

Two lines intersect at ((-3,2)) on a graph. Which pair of equations is correct?

Explanation opens after your attempt
Correct Answer

A. (x+y=-1), (2x-y=-8)

Step 1

Concept

Substituting ((-3,2)) makes (x+y=-1) and (2x-y=-8) true. Substituting the intersection point in both equations is the fastest check.

Step 2

Why this answer is correct

The correct answer is A. (x+y=-1), (2x-y=-8). Substituting ((-3,2)) makes (x+y=-1) and (2x-y=-8) true. Substituting the intersection point in both equations is the fastest check.

Step 3

Exam Tip

((-3,2)) रखने पर (x+y=-1) और (2x-y=-8) दोनों सही हैं। प्रतिच्छेद बिंदु को दोनों समीकरणों में रखना सबसे तेज जांच है।

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कौन सा बिंदु दोनों रेखाओं (2x+y=9) और (x-y=3) पर स्थित है?

Which point lies on both lines (2x+y=9) and (x-y=3)?

Explanation opens after your attempt
Correct Answer

A. ((4,1))

Step 1

Concept

Substituting ((4,1)) makes both (2x+y=9) and (x-y=3) true. Such a common point is the graphical solution.

Step 2

Why this answer is correct

The correct answer is A. ((4,1)). Substituting ((4,1)) makes both (2x+y=9) and (x-y=3) true. Such a common point is the graphical solution.

Step 3

Exam Tip

((4,1)) रखने पर (2x+y=9) और (x-y=3) दोनों सत्य हैं। ऐसा साझी बिंदु ही ग्राफीय समाधान होता है।

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रेखा (2x+7y=14) के लिए कौन सा बिंदु रेखा पर नहीं है?

Which point does not lie on the line (2x+7y=14)?

Explanation opens after your attempt
Correct Answer

D. ((1,2))

Step 1

Concept

Substituting ((1,2)) gives (2+14=16), not (14). Taking a wrong point makes the graph wrong.

Step 2

Why this answer is correct

The correct answer is D. ((1,2)). Substituting ((1,2)) gives (2+14=16), not (14). Taking a wrong point makes the graph wrong.

Step 3

Exam Tip

((1,2)) रखने पर (2+14=16), जो (14) नहीं है। ग्राफ में गलत बिंदु लेने से रेखा गलत बनती है।

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एक ग्राफ में दो रेखाएं (A(1,4)) पर मिलती हैं। कौन सा युग्म इसे सत्यापित करता है?

Two lines meet at (A(1,4)) on a graph. Which pair verifies this?

Explanation opens after your attempt
Correct Answer

A. (3x+y=7), (x+2y=9)

Step 1

Concept

Substituting ((1,4)) makes (3x+y=7) and (x+2y=9) true. The intersection point must lie on both lines.

Step 2

Why this answer is correct

The correct answer is A. (3x+y=7), (x+2y=9). Substituting ((1,4)) makes (3x+y=7) and (x+2y=9) true. The intersection point must lie on both lines.

Step 3

Exam Tip

((1,4)) रखने पर (3x+y=7) और (x+2y=9) दोनों सही हैं। प्रतिच्छेद बिंदु दोनों रेखाओं पर होना चाहिए।

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एक छात्र ने (4x+3y=24) की रेखा के लिए ((6,0)), ((0,8)) और ((3,4)) लिए। कौन सा कथन सही है?

A student chose ((6,0)), ((0,8)), and ((3,4)) for the line (4x+3y=24). Which statement is correct?

Explanation opens after your attempt
Correct Answer

B. केवल ((6,0)) और ((0,8)) रेखा पर हैंOnly ((6,0)) and ((0,8)) lie on the line

Step 1

Concept

((6,0)) and ((0,8)) satisfy the equation, but ((3,4)) does not give (24). Check points before plotting the graph.

Step 2

Why this answer is correct

The correct answer is B. केवल ((6,0)) और ((0,8)) रेखा पर हैं / Only ((6,0)) and ((0,8)) lie on the line. ((6,0)) and ((0,8)) satisfy the equation, but ((3,4)) does not give (24). Check points before plotting the graph.

Step 3

Exam Tip

((6,0)) और ((0,8)) समीकरण को संतुष्ट करते हैं, लेकिन ((3,4)) देने पर (24) नहीं मिलता। ग्राफ से पहले बिंदुओं की जांच करें।

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यदि दो रेखाओं का प्रतिच्छेद (\left\(\frac{7}{2},-\frac{1}{2}\right\)) है, तो कौन सा युग्म सही हो सकता है?

If the intersection of two lines is (\left\(\frac{7}{2},-\frac{1}{2}\right\)), which pair can be correct?

Explanation opens after your attempt
Correct Answer

A. (x-y=4), \(2x+y=\frac{13}{2}\)

Step 1

Concept

Substituting (\left\(\frac{7}{2},-\frac{1}{2}\right\)) makes (x-y=4) and \(2x+y=\frac{13}{2}\) true. Check the point in both equations.

Step 2

Why this answer is correct

The correct answer is A. (x-y=4), \(2x+y=\frac{13}{2}\). Substituting (\left\(\frac{7}{2},-\frac{1}{2}\right\)) makes (x-y=4) and \(2x+y=\frac{13}{2}\) true. Check the point in both equations.

Step 3

Exam Tip

(\left\(\frac{7}{2},-\frac{1}{2}\right\)) रखने पर (x-y=4) और \(2x+y=\frac{13}{2}\) सत्य हैं। विकल्पों में बिंदु को दोनों समीकरणों में जांचें।

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यदि दो रेखाएं ग्राफ पर (P(2,-3)) पर मिलती हैं, तो कौन सा कथन अवश्य सही है?

If two lines meet at (P(2,-3)) on a graph, which statement must be true?

Explanation opens after your attempt
Correct Answer

A. ((2,-3)) दोनों समीकरणों को संतुष्ट करता है((2,-3)) satisfies both equations

Step 1

Concept

The intersection point always lies on both lines, so it satisfies both equations. A graphical solution can always be checked in both equations.

Step 2

Why this answer is correct

The correct answer is A. ((2,-3)) दोनों समीकरणों को संतुष्ट करता है / ((2,-3)) satisfies both equations. The intersection point always lies on both lines, so it satisfies both equations. A graphical solution can always be checked in both equations.

Step 3

Exam Tip

प्रतिच्छेद बिंदु हमेशा दोनों रेखाओं पर होता है, इसलिए वह दोनों समीकरणों को संतुष्ट करता है। ग्राफीय समाधान को हमेशा दोनों समीकरणों में जांच सकते हैं।

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यदि रेखा (2x+5y=20) को ग्राफ करना है, तो कौन सा बिंदु गलत चुना गया है?

If the line (2x+5y=20) is to be graphed, which point is chosen incorrectly?

Explanation opens after your attempt
Correct Answer

D. ((2,5))

Step 1

Concept

Substituting ((2,5)) gives \(2\cdot2+5\cdot5=29\), not (20). Every chosen plotting point must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is D. ((2,5)). Substituting ((2,5)) gives \(2\cdot2+5\cdot5=29\), not (20). Every chosen plotting point must satisfy the equation.

Step 3

Exam Tip

((2,5)) रखने पर \(2\cdot2+5\cdot5=29\), जो (20) नहीं है। ग्राफ के लिए हर चुना बिंदु समीकरण को संतुष्ट करना चाहिए।

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यदि दो रेखाओं का प्रतिच्छेद ((-2,5)) है, तो दिए गए विकल्पों में कौन सा समीकरण युग्म सही हो सकता है?

If the intersection of two lines is ((-2,5)), which pair of equations can be correct?

Explanation opens after your attempt
Correct Answer

A. (x+y=3), (2x-y=-9)

Step 1

Concept

Substituting ((-2,5)) gives (x+y=3) and (2x-y=-9), both true. Test the point in both equations.

Step 2

Why this answer is correct

The correct answer is A. (x+y=3), (2x-y=-9). Substituting ((-2,5)) gives (x+y=3) and (2x-y=-9), both true. Test the point in both equations.

Step 3

Exam Tip

((-2,5)) रखने पर (x+y=3) और (2x-y=-9) दोनों सही हैं। विकल्प जांचते समय बिंदु को दोनों समीकरणों में रखें।

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कौन-सा बिंदु (3x+4y=26) पर है लेकिन (x+y=7) पर नहीं है?

Which point lies on (3x+4y=26) but not on (x+y=7)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(2,5\right\))Point (\left\(2,5\right\))

Step 1

Concept

At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(2,5\right\)) / Point (\left\(2,5\right\)). At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).

Step 3

Exam Tip

(\left\(2,5\right\)) पर (3\left\(2\right\)+4\left\(5\right\)=26), लेकिन (2+5=7) भी है, इसलिए जाँच पूरी करें। सही अलग बिंदु (\left\(4,\frac{7}{2}\right\)) है।

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कौन-सा बिंदु (2x+5y=27) पर है लेकिन (x+y=9) पर नहीं है?

Which point lies on (2x+5y=27) but not on (x+y=9)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(1,5\right\))Point (\left\(1,5\right\))

Step 1

Concept

At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(1,5\right\)) / Point (\left\(1,5\right\)). At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.

Step 3

Exam Tip

(\left\(1,5\right\)) पर (2\left\(1\right\)+5\left\(5\right\)=27), लेकिन (1+5=6)। सामान्य हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन-सा बिंदु (2x+3y=24) पर है लेकिन (x+y=10) पर नहीं है?

Which point lies on (2x+3y=24) but not on (x+y=10)?

Explanation opens after your attempt
Correct Answer

B. बिंदु (\left\(3,6\right\))Point (\left\(3,6\right\))

Step 1

Concept

At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. बिंदु (\left\(3,6\right\)) / Point (\left\(3,6\right\)). At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.

Step 3

Exam Tip

(\left\(3,6\right\)) पर (2\left\(3\right\)+3\left\(6\right\)=24), लेकिन (3+6=9)। सामान्य हल के लिए दोनों समीकरण सत्य होने चाहिए।

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समीकरण (x-2y=-4) और (3x+y=11) का हल कौन-सा है?

Which is the solution of (x-2y=-4) and (3x+y=11)?

Explanation opens after your attempt
Correct Answer

B. बिंदु (\left\(3,2\right\))Point (\left\(3,2\right\))

Step 1

Concept

At (\left\(3,2\right\)), (3-2\left\(2\right\)=-1), so it is not correct. The correct solution is (\left\(\frac{18}{7},\frac{23}{7}\right\)).

Step 2

Why this answer is correct

The correct answer is B. बिंदु (\left\(3,2\right\)) / Point (\left\(3,2\right\)). At (\left\(3,2\right\)), (3-2\left\(2\right\)=-1), so it is not correct. The correct solution is (\left\(\frac{18}{7},\frac{23}{7}\right\)).

Step 3

Exam Tip

(\left\(3,2\right\)) पर (3-2\left\(2\right\)=-1) है इसलिए यह नहीं है। सही हल (\left\(\frac{18}{7},\frac{23}{7}\right\)) है।

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समीकरण (x+3y=15) और (2x-y=3) का ग्राफीय हल कौन-सा है?

Which is the graphical solution of (x+3y=15) and (2x-y=3)?

Explanation opens after your attempt
Correct Answer

B. बिंदु (\left\(4,3\right\))Point (\left\(4,3\right\))

Step 1

Concept

At (\left\(4,3\right\)), (4+3\left\(3\right\)=13), so check options carefully. The correct intersection is (\left\(\frac{24}{7},\frac{27}{7}\right\)).

Step 2

Why this answer is correct

The correct answer is B. बिंदु (\left\(4,3\right\)) / Point (\left\(4,3\right\)). At (\left\(4,3\right\)), (4+3\left\(3\right\)=13), so check options carefully. The correct intersection is (\left\(\frac{24}{7},\frac{27}{7}\right\)).

Step 3

Exam Tip

(\left\(4,3\right\)) पर (4+3\left\(3\right\)=13) नहीं है इसलिए विकल्प जाँचें। सही प्रतिच्छेद (\left\(\frac{24}{7},\frac{27}{7}\right\)) है।

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कौन-सा बिंदु (4x+y=18) पर है लेकिन (x+y=9) पर नहीं है?

Which point lies on (4x+y=18) but not on (x+y=9)?

Explanation opens after your attempt
Correct Answer

A. ( (4,2) )

Step 1

Concept

At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.

Step 2

Why this answer is correct

The correct answer is A. ( (4,2) ). At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.

Step 3

Exam Tip

( (4,2) ) पर (4(4)+2=18), लेकिन (4+2=6)। सामान्य हल के लिए बिंदु को दोनों समीकरण संतुष्ट करने चाहिए।

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कौन-सा बिंदु (3x+2y=16) पर है लेकिन (x+y=7) पर नहीं है?

Which point lies on (3x+2y=16) but not on (x+y=7)?

Explanation opens after your attempt
Correct Answer

B. ( (4,2) )

Step 1

Concept

At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. ( (4,2) ). At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.

Step 3

Exam Tip

( (4,2) ) पर (3(4)+2(2)=16), लेकिन (4+2=6)। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन-सा बिंदु रेखा (2x+3y=19) पर है लेकिन रेखा (x+y=8) पर नहीं है?

Which point lies on the line (2x+3y=19) but not on the line (x+y=8)?

Explanation opens after your attempt
Correct Answer

B. ( (2,5) )

Step 1

Concept

At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. ( (2,5) ). At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.

Step 3

Exam Tip

( (2,5) ) पर (2(2)+3(5)=19), लेकिन (2+5=7) है। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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समीकरण (4x-y=11) और (x+y=7) का ग्राफीय हल क्या है?

What is the graphical solution of (4x-y=11) and (x+y=7)?

Explanation opens after your attempt
Correct Answer

C. ( (4,3) )

Step 1

Concept

Substituting ( (4,3) ) gives (4(4)-3=13), so checking is necessary. The correct solution is ( \left\(\frac{18}{5},\frac{17}{5}\right\) ).

Step 2

Why this answer is correct

The correct answer is C. ( (4,3) ). Substituting ( (4,3) ) gives (4(4)-3=13), so checking is necessary. The correct solution is ( \left\(\frac{18}{5},\frac{17}{5}\right\) ).

Step 3

Exam Tip

( (4,3) ) रखने पर (4(4)-3=13) नहीं है, इसलिए जाँच जरूरी है। सही हल ( \left\(\frac{18}{5},\frac{17}{5}\right\) ) है।

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समीकरण (2x+3y=18) और (x-y=1) का सही प्रतिच्छेद बिंदु कौन-सा है?

What is the correct intersection point of (2x+3y=18) and (x-y=1)?

Explanation opens after your attempt
Correct Answer

A. ( (3,2) )

Step 1

Concept

Putting ( (3,2) ) gives (2(3)+3(2)=12), so it is not correct. The correct solution is ( \(\frac{21}{5},\frac{16}{5}\) ), so recalculation is needed in such options.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ). Putting ( (3,2) ) gives (2(3)+3(2)=12), so it is not correct. The correct solution is ( \(\frac{21}{5},\frac{16}{5}\) ), so recalculation is needed in such options.

Step 3

Exam Tip

( (3,2) ) रखने पर (2(3)+3(2)=12) है, इसलिए यह भी सही नहीं है। सही हल ( \( \frac{21}{5},\frac{16}{5}\) ) होता है, अतः ऐसे विकल्पों में पुनः गणना जरूरी है।

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यदि ग्राफ पर दो रेखाएँ ( (5,1) ) पर मिलती हैं, तो कौन-सा समीकरण युग्म इस हल को दर्शा सकता है?

If two lines meet at ( (5,1) ), which pair of equations can represent this solution?

Explanation opens after your attempt
Correct Answer

B. (x+y=6) और (x-y=4)(x+y=6) and (x-y=4)

Step 1

Concept

At ( (5,1) ), (5+1=6) and (5-1=4). To check a solution substitute the point in both equations.

Step 2

Why this answer is correct

The correct answer is B. (x+y=6) और (x-y=4) / (x+y=6) and (x-y=4). At ( (5,1) ), (5+1=6) and (5-1=4). To check a solution substitute the point in both equations.

Step 3

Exam Tip

( (5,1) ) पर (5+1=6) और (5-1=4)। हल जाँचने के लिए दिए बिंदु को दोनों समीकरणों में रखें।

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समीकरण (x-2y=0) के लिए कौन-सा बिंदु रेखा पर है?

Which point lies on the line (x-2y=0)?

Explanation opens after your attempt
Correct Answer

A. ( (4,2) )

Step 1

Concept

Putting ( (4,2) ) gives (4-2(2)=0). In a graph, take only points that satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. ( (4,2) ). Putting ( (4,2) ) gives (4-2(2)=0). In a graph, take only points that satisfy the equation.

Step 3

Exam Tip

( (4,2) ) रखने पर (4-2(2)=0)। ग्राफ में वही बिंदु लें जो समीकरण को संतुष्ट करता हो।

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\(8x^2-14x-15=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(8x^2-14x-15=0\)?

Explanation opens after your attempt
Correct Answer

A. ((4x+3)(2x-5)=0)

Step 1

Concept

((4x+3)(2x-5)=8x-2-20x+6x-15=8x-2-14x-15), so it is correct. In exams, verify factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((4x+3)(2x-5)=0). ((4x+3)(2x-5)=8x-2-20x+6x-15=8x-2-14x-15), so it is correct. In exams, verify factorisation by expanding.

Step 3

Exam Tip

((4x+3)(2x-5)=8x-2-20x+6x-15=8x-2-14x-15), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(7x^2-19x-6=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(7x^2-19x-6=0\)?

Explanation opens after your attempt
Correct Answer

A. ((7x+2)(x-3)=0)

Step 1

Concept

((7x+2)(x-3)=7x-2-19x-6), so it is correct. In exams, verify factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((7x+2)(x-3)=0). ((7x+2)(x-3)=7x-2-19x-6), so it is correct. In exams, verify factorisation by expanding.

Step 3

Exam Tip

((7x+2)(x-3)=7x-2-19x-6), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(6x^2-11x-10=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(6x^2-11x-10=0\)?

Explanation opens after your attempt
Correct Answer

A. ((3x+2)(2x-5)=0)

Step 1

Concept

((3x+2)(2x-5)=6x-2-11x-10), so it is correct. In exams, verify factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((3x+2)(2x-5)=0). ((3x+2)(2x-5)=6x-2-11x-10), so it is correct. In exams, verify factorisation by expanding.

Step 3

Exam Tip

((3x+2)(2x-5)=6x-2-11x-10), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(5x^2-7x-6=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(5x^2-7x-6=0\)?

Explanation opens after your attempt
Correct Answer

A. ((5x+3)(x-2)=0)

Step 1

Concept

((5x+3)(x-2)=5x-2-7x-6), so it is correct. In exams, verify factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((5x+3)(x-2)=0). ((5x+3)(x-2)=5x-2-7x-6), so it is correct. In exams, verify factorisation by expanding.

Step 3

Exam Tip

((5x+3)(x-2)=5x-2-7x-6), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(3x^2-5x-2=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(3x^2-5x-2=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((3x+1)(x-2)=3x-2-5x-2), so it is correct. In exams, verify factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((3x+1)(x-2)=0). ((3x+1)(x-2)=3x-2-5x-2), so it is correct. In exams, verify factorisation by expanding.

Step 3

Exam Tip

((3x+1)(x-2)=3x-2-5x-2), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(5x^2-18x+9=0\) के मूल क्या होंगे?

What will be the roots of \(5x^2-18x+9=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

(5x-2-18x+9=(5x-3)(x-3)), so the roots are \(\frac{3}{5}\) and (3). In exams, verify the answer quickly by factorisation.

Step 2

Why this answer is correct

The correct answer is A. \(x=3,\frac{3}{5}\). (5x-2-18x+9=(5x-3)(x-3)), so the roots are \(\frac{3}{5}\) and (3). In exams, verify the answer quickly by factorisation.

Step 3

Exam Tip

(5x-2-18x+9=(5x-3)(x-3)), इसलिए मूल \(\frac{3}{5}\) और (3) हैं। परीक्षा में गुणनखंड विधि से उत्तर जल्दी जांचें।

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\(2x^2-3x-2=0\) को हल करने में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for solving \(2x^2-3x-2=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((2x+1)(x-2)=2x-2-3x-2), so it is correct. In exams, verify the factorisation by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((2x+1)(x-2)=0). ((2x+1)(x-2)=2x-2-3x-2), so it is correct. In exams, verify the factorisation by expanding.

Step 3

Exam Tip

((2x+1)(x-2)=2x-2-3x-2), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(3x^2-10x+3=0\) के मूल क्या होंगे?

What will be the roots of \(3x^2-10x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x=3,\frac{1}{3}\)

Step 1

Concept

(3x-2-10x+3=(3x-1)(x-3)), so the roots are \(\frac{1}{3}\) and (3). In exams, you may verify by completing square or factoring.

Step 2

Why this answer is correct

The correct answer is A. \(x=3,\frac{1}{3}\). (3x-2-10x+3=(3x-1)(x-3)), so the roots are \(\frac{1}{3}\) and (3). In exams, you may verify by completing square or factoring.

Step 3

Exam Tip

(3x-2-10x+3=(3x-1)(x-3)), इसलिए मूल \(\frac{1}{3}\) और (3) हैं। परीक्षा में पूर्ण वर्ग या गुणनखंड दोनों से जांच सकते हैं।

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\(4x^2-12x-7=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(4x^2-12x-7=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((2x+1)(2x-7)=4x-2-12x-7), so this is the correct factorised form. In exams, check the answer by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((2x+1)(2x-7)=0). ((2x+1)(2x-7)=4x-2-12x-7), so this is the correct factorised form. In exams, check the answer by expanding.

Step 3

Exam Tip

((2x+1)(2x-7)=4x-2-12x-7), इसलिए यह सही गुणनखंड रूप है। परीक्षा में विस्तार करके उत्तर जांचें।

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\(11x^2+12x+1=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(11x^2+12x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. ((11x+1)(x+1)=0)

Step 1

Concept

((11x+1)(x+1)=11x-2+12x+1), so it is correct. In exams, verify the factors by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((11x+1)(x+1)=0). ((11x+1)(x+1)=11x-2+12x+1), so it is correct. In exams, verify the factors by expanding.

Step 3

Exam Tip

((11x+1)(x+1)=11x-2+12x+1), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(3x^2-10x-8=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(3x^2-10x-8=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((3x+2)(x-4)=3x-2-10x-8), so this is the correct factorised form. In exams, check the answer by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((3x+2)(x-4)=0). ((3x+2)(x-4)=3x-2-10x-8), so this is the correct factorised form. In exams, check the answer by expanding.

Step 3

Exam Tip

((3x+2)(x-4)=3x-2-10x-8), इसलिए यह सही गुणनखंड रूप है। परीक्षा में विस्तार करके उत्तर जांचें।

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\(7x^2+8x+1=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(7x^2+8x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. ((7x+1)(x+1)=0)

Step 1

Concept

((7x+1)(x+1)=7x-2+8x+1), so it is correct. In exams, verify the factors by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((7x+1)(x+1)=0). ((7x+1)(x+1)=7x-2+8x+1), so it is correct. In exams, verify the factors by expanding.

Step 3

Exam Tip

((7x+1)(x+1)=7x-2+8x+1), इसलिए यह सही है। परीक्षा में गुणनखंड को विस्तार करके जांचें।

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\(2x^2-3x-2=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(2x^2-3x-2=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((2x+1)(x-2)=2x-2-3x-2), so this is the correct factorised form. In exams, check the answer by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((2x+1)(x-2)=0). ((2x+1)(x-2)=2x-2-3x-2), so this is the correct factorised form. In exams, check the answer by expanding.

Step 3

Exam Tip

((2x+1)(x-2)=2x-2-3x-2), इसलिए यह सही गुणनखंड रूप है। परीक्षा में विस्तार करके उत्तर जांचें।

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\(5x^2+6x+1=0\) में कौनसा गुणनखंड रूप सही है?

Which factorised form is correct for \(5x^2+6x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. ((5x+1)(x+1)=0)

Step 1

Concept

((5x+1)(x+1)=5x-2+6x+1), so it is correct. In exams, verify factors by expanding.

Step 2

Why this answer is correct

The correct answer is A. ((5x+1)(x+1)=0). ((5x+1)(x+1)=5x-2+6x+1), so it is correct. In exams, verify factors by expanding.

Step 3

Exam Tip

((5x+1)(x+1)=5x-2+6x+1), इसलिए यह सही है। परीक्षा में विस्तार करके गुणनखंड जांचें।

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यदि (4x-2-(5t+3)x+t(t+3)=0) की जड़ें (t) और \(\frac{t+3}{4}\) बताई गई हैं, तो यह कथन कब सत्य है?

If the roots of (4x-2-(5t+3)x+t(t+3)=0) are said to be (t) and \(\frac{t+3}{4}\), when is this statement true?

Explanation opens after your attempt
Correct Answer

A. हर (t) के लिएFor every (t)

Step 1

Concept

The sum of these roots is \(\frac{5t+3}{4}\), and the product is (\frac{t(t+3)}{4}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) of the given equation.

Step 2

Why this answer is correct

The correct answer is A. हर (t) के लिए / For every (t). The sum of these roots is \(\frac{5t+3}{4}\), and the product is (\frac{t(t+3)}{4}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) of the given equation.

Step 3

Exam Tip

इन जड़ों का योग \(\frac{5t+3}{4}\) और गुणनफल (\frac{t(t+3)}{4}) है। ये दिए गए समीकरण के \(-\frac{b}{a}\) और \(\frac{c}{a}\) से मेल खाते हैं।

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(x-2-(a+8)x+8a=0) के बारे में कौन-सा कथन हमेशा सही है?

Which statement is always correct about (x-2-(a+8)x+8a=0)?

Explanation opens after your attempt
Correct Answer

A. (8) हमेशा एक जड़ है(8) is always one root

Step 1

Concept

Putting (x=8) gives (64-8(a+8)+8a=0). Hence (8) is always one root and the other root is (a).

Step 2

Why this answer is correct

The correct answer is A. (8) हमेशा एक जड़ है / (8) is always one root. Putting (x=8) gives (64-8(a+8)+8a=0). Hence (8) is always one root and the other root is (a).

Step 3

Exam Tip

(x=8) रखने पर (64-8(a+8)+8a=0) मिलता है। इसलिए (8) हमेशा एक जड़ है और दूसरी जड़ (a) है।

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यदि (3x-2-(4t+2)x+t(t+2)=0) की जड़ें (t) और \(\frac{t+2}{3}\) बताई गई हैं, तो यह कथन कब सत्य है?

If the roots of (3x-2-(4t+2)x+t(t+2)=0) are said to be (t) and \(\frac{t+2}{3}\), when is this statement true?

Explanation opens after your attempt
Correct Answer

C. हर (t) परFor every (t)

Step 1

Concept

The sum of these two roots is \(\frac{4t+2}{3}\), and the product is (\frac{t(t+2)}{3}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) of the given equation.

Step 2

Why this answer is correct

The correct answer is C. हर (t) पर / For every (t). The sum of these two roots is \(\frac{4t+2}{3}\), and the product is (\frac{t(t+2)}{3}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) of the given equation.

Step 3

Exam Tip

इन दोनों जड़ों का योग \(\frac{4t+2}{3}\) और गुणनफल (\frac{t(t+2)}{3}) है। ये दिए गए समीकरण के \(-\frac{b}{a}\) और \(\frac{c}{a}\) से मेल खाते हैं।

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(x-2-(a+6)x+6a=0) के लिए कौन-सा कथन हमेशा सत्य है?

Which statement is always true for (x-2-(a+6)x+6a=0)?

Explanation opens after your attempt
Correct Answer

B. (6) हमेशा जड़ है(6) is always a root

Step 1

Concept

Putting (x=6) gives (36-6(a+6)+6a=0). Hence (6) is always one root and the other root is (a).

Step 2

Why this answer is correct

The correct answer is B. (6) हमेशा जड़ है / (6) is always a root. Putting (x=6) gives (36-6(a+6)+6a=0). Hence (6) is always one root and the other root is (a).

Step 3

Exam Tip

(x=6) रखने पर (36-6(a+6)+6a=0) मिलता है। इसलिए (6) हमेशा एक जड़ है और दूसरी जड़ (a) है।

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यदि (2x-2-(3t+1)x+t-2+t=0) की जड़ें (t) और \(\frac{t+1}{2}\) हैं, तो यह कथन किसके लिए सही है?

If the roots of (2x-2-(3t+1)x+t-2+t=0) are (t) and \(\frac{t+1}{2}\), for which values is this statement true?

Explanation opens after your attempt
Correct Answer

A. हर (t) के लिएFor every (t)

Step 1

Concept

The sum is \(\frac{3t+1}{2}\) and the product is (\frac{t(t+1)}{2}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) for every (t).

Step 2

Why this answer is correct

The correct answer is A. हर (t) के लिए / For every (t). The sum is \(\frac{3t+1}{2}\) and the product is (\frac{t(t+1)}{2}). These match \(-\frac{b}{a}\) and \(\frac{c}{a}\) for every (t).

Step 3

Exam Tip

इन जड़ों का योग \(\frac{3t+1}{2}\) और गुणनफल (\frac{t(t+1)}{2}) है। ये दिए गए समीकरण के \(-\frac{b}{a}\) और \(\frac{c}{a}\) से हर (t) पर मेल खाते हैं।

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(x-2-(a+4)x+4a=0) के लिए कौन-सा कथन हमेशा सत्य है?

Which statement is always true for (x-2-(a+4)x+4a=0)?

Explanation opens after your attempt
Correct Answer

A. (4) हमेशा एक जड़ है(4) is always a root

Step 1

Concept

Putting (x=4) gives (16-4(a+4)+4a=0). Hence (4) is always one root and the other root is (a).

Step 2

Why this answer is correct

The correct answer is A. (4) हमेशा एक जड़ है / (4) is always a root. Putting (x=4) gives (16-4(a+4)+4a=0). Hence (4) is always one root and the other root is (a).

Step 3

Exam Tip

(x=4) रखने पर (16-4(a+4)+4a=0) मिलता है। अतः (4) हमेशा एक जड़ है और दूसरी जड़ (a) होती है।

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यदि (x=0), \(ax^2+bx+c=0\) की जड़ है, तो कौन-सी शर्त निश्चित रूप से सही है?

If (x=0) is a root of \(ax^2+bx+c=0\), which condition must be true?

Explanation opens after your attempt
Correct Answer

A. (c=0)

Step 1

Concept

Putting (x=0) gives (c=0). Thus the direct condition for zero to be a root is (c=0).

Step 2

Why this answer is correct

The correct answer is A. (c=0). Putting (x=0) gives (c=0). Thus the direct condition for zero to be a root is (c=0).

Step 3

Exam Tip

(x=0) रखने पर समीकरण (c=0) बनता है। इसलिए शून्य जड़ होने की सीधी शर्त (c=0) है।

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(x-2-(a+3)x+3a=0) के बारे में कौन-सा कथन हमेशा सही है?

Which statement is always true about (x-2-(a+3)x+3a=0)?

Explanation opens after your attempt
Correct Answer

A. (3) हमेशा एक जड़ है(3) is always a root

Step 1

Concept

Putting (x=3) gives (9-3(a+3)+3a=0). Hence (3) is always one root, and the other root is (a).

Step 2

Why this answer is correct

The correct answer is A. (3) हमेशा एक जड़ है / (3) is always a root. Putting (x=3) gives (9-3(a+3)+3a=0). Hence (3) is always one root, and the other root is (a).

Step 3

Exam Tip

(x=3) रखने पर (9-3(a+3)+3a=0) मिलता है। इसलिए (3) हमेशा एक जड़ है और दूसरी जड़ (a) होती है।

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यदि (x=2), \(kx^2-6x+4=0\) की जड़ है, तो (k) का मान क्या है?

If (x=2) is a root of \(kx^2-6x+4=0\), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

Putting (x=2), we get (4k-12+4=0). Hence (4k=8) and (k=2).

Step 2

Why this answer is correct

The correct answer is B. (2). Putting (x=2), we get (4k-12+4=0). Hence (4k=8) and (k=2).

Step 3

Exam Tip

(x=2) रखने पर (4k-12+4=0) मिलता है। इसलिए (4k=8) और (k=2)।

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यदि \(x^2-15x+56=0\), तो (x=7) रखने पर बायां पक्ष क्या बनेगा?

If \(x^2-15x+56=0\), what will the left side become when (x=7)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

\(7^2-15\cdot7+56=49-105+56=0\). If the left side becomes (0), the given value is a root.

Step 2

Why this answer is correct

The correct answer is A. (0). \(7^2-15\cdot7+56=49-105+56=0\). If the left side becomes (0), the given value is a root.

Step 3

Exam Tip

\(7^2-15\cdot7+56=49-105+56=0\) है। बायां पक्ष (0) हो तो दिया मान मूल है।

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यदि \(x^2-12x+35=0\), तो (x=5) रखने पर बायां पक्ष क्या बनेगा?

If \(x^2-12x+35=0\), what will the left side become when (x=5)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

\(5^2-12\cdot5+35=25-60+35=0\). If the left side becomes (0), the given value is a root.

Step 2

Why this answer is correct

The correct answer is A. (0). \(5^2-12\cdot5+35=25-60+35=0\). If the left side becomes (0), the given value is a root.

Step 3

Exam Tip

\(5^2-12\cdot5+35=25-60+35=0\) है। बायां पक्ष (0) हो तो दिया मान मूल है।

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यदि \(x^2-9x+20=0\), तो (x=4) रखने पर बायां पक्ष क्या बनेगा?

If \(x^2-9x+20=0\), what will the left side become when (x=4)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

\(4^2-9\cdot4+20=16-36+20=0\). If the left side becomes (0), the given value is a root.

Step 2

Why this answer is correct

The correct answer is A. (0). \(4^2-9\cdot4+20=16-36+20=0\). If the left side becomes (0), the given value is a root.

Step 3

Exam Tip

\(4^2-9\cdot4+20=16-36+20=0\) है। यदि बायां पक्ष (0) हो तो दिया मान मूल होता है।

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क्या (x=0) समीकरण \(x^2+5x=0\) का मूल है?

Is (x=0) a root of \(x^2+5x=0\)?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Putting (x=0) gives \(0^2+5\cdot0=0\). Substitution is the easiest way to check a root.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Putting (x=0) gives \(0^2+5\cdot0=0\). Substitution is the easiest way to check a root.

Step 3

Exam Tip

(x=0) रखने पर \(0^2+5\cdot0=0\) मिलता है। मूल जांचने में प्रतिस्थापन सबसे आसान तरीका है।

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कौन सा विकल्प \(x^2+x-12=0\) का गुणनखंड रूप है?

Which option is the factor form of \(x^2+x-12=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

Expanding ((x+4)(x-3)) gives \(x^2+x-12\). To check factors, expand them.

Step 2

Why this answer is correct

The correct answer is A. ((x+4)(x-3)=0). Expanding ((x+4)(x-3)) gives \(x^2+x-12\). To check factors, expand them.

Step 3

Exam Tip

((x+4)(x-3)) फैलाने पर \(x^2+x-12\) मिलता है। गुणनखंड जांचने के लिए विस्तार करें।

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\(x^2+6x+9=0\) में (x=-3) रखने पर क्या होगा?

What happens when (x=-3) is put in \(x^2+6x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Step 1

Concept

((-3)2+6(-3)+9=0). Hence (x=-3) is a solution.

Step 2

Why this answer is correct

The correct answer is A. समीकरण संतुष्ट होता है / The equation is satisfied. ((-3)2+6(-3)+9=0). Hence (x=-3) is a solution.

Step 3

Exam Tip

((-3)2+6(-3)+9=0) है। अतः (x=-3) हल है।

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कौन सा विकल्प \(x^2-2x-15=0\) का गुणनखंड रूप है?

Which option is the factor form of \(x^2-2x-15=0\)?

Explanation opens after your attempt
Correct Answer

A. \((x-5)(x+3)=0\)

Step 1

Concept

Expanding ((x-5)(x+3)) gives \(x^2-2x-15\). To check factors, expand them.

Step 2

Why this answer is correct

The correct answer is A. \((x-5)(x+3)=0\). Expanding ((x-5)(x+3)) gives \(x^2-2x-15\). To check factors, expand them.

Step 3

Exam Tip

((x-5)(x+3)) फैलाने पर \(x^2-2x-15\) मिलता है। गुणनखंड जांचने के लिए विस्तार करें।

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\(x^2+4x+4=0\) में (x=-2) रखने पर क्या होगा?

What happens when (x=-2) is put in \(x^2+4x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Step 1

Concept

((-2)2+4(-2)+4=0). Hence (x=-2) is a solution.

Step 2

Why this answer is correct

The correct answer is A. समीकरण संतुष्ट होता है / The equation is satisfied. ((-2)2+4(-2)+4=0). Hence (x=-2) is a solution.

Step 3

Exam Tip

((-2)2+4(-2)+4=0) है। अतः (x=-2) हल है।

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यदि (p(x)=x-2-2x-2), तो \(1+\sqrt{3}\) के बारे में कौन सा कथन सही है?

If (p(x)=x-2-2x-2), which statement about \(1+\sqrt{3}\) is correct?

Explanation opens after your attempt
Correct Answer

A. यह (p(x)) का शून्यक हैIt is a zero of (p(x))

Step 1

Concept

Since (p\(1+\sqrt{3}\)=0), \(1+\sqrt{3}\) is a zero. To prove a number is a zero, show that the polynomial value is (0).

Step 2

Why this answer is correct

The correct answer is A. यह (p(x)) का शून्यक है / It is a zero of (p(x)). Since (p\(1+\sqrt{3}\)=0), \(1+\sqrt{3}\) is a zero. To prove a number is a zero, show that the polynomial value is (0).

Step 3

Exam Tip

(p\(1+\sqrt{3}\)=0), इसलिए \(1+\sqrt{3}\) शून्यक है। किसी संख्या को शून्यक सिद्ध करने के लिए बहुपद का मान (0) दिखाएँ।

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राष्ट्रीय सांस्कृतिक मानचित्रण मिशन किस वर्ष शुरू किया गया था?

In which year was the National Mission on Cultural Mapping launched?

Explanation opens after your attempt
Correct Answer

C. 20172017

Step 1

Concept

The National Mission on Cultural Mapping was launched in 2017. Link it with documentation of artists and cultural resources.

Step 2

Why this answer is correct

The correct answer is C. 2017 / 2017. The National Mission on Cultural Mapping was launched in 2017. Link it with documentation of artists and cultural resources.

Step 3

Exam Tip

राष्ट्रीय सांस्कृतिक मानचित्रण मिशन 2017 में शुरू हुआ था। इसे कलाकारों और सांस्कृतिक संसाधनों के दस्तावेजीकरण से जोड़ें।

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