Search: intercepts

Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखा (8x-3y=24) के दोनों अवरोधों का सही युग्म कौन-सा है?

Which is the correct pair of intercepts of the line (8x-3y=24)?

Explanation opens after your attempt

Correct Answer

A. (\left\(3,0\right\)) और (\left\(0,-8\right\))(\left\(3,0\right\)) and (\left\(0,-8\right\))

Step 1

Concept

At (y=0), (x=3), and at (x=0), (y=-8). Plot the negative intercept in the correct direction on the graph.

Step 2

Why this answer is correct

The correct answer is A. (\left\(3,0\right\)) और (\left\(0,-8\right\)) / (\left\(3,0\right\)) and (\left\(0,-8\right\)). At (y=0), (x=3), and at (x=0), (y=-8). Plot the negative intercept in the correct direction on the graph.

Step 3

Exam Tip

(y=0) पर (x=3) और (x=0) पर (y=-8)। ऋण अवरोध को ग्राफ में सही दिशा में अंकित करें।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखा (x-4y=16) के लिए (x=0) और (y=0) पर कौन-से अवरोध मिलते हैं?

For the line (x-4y=16), what intercepts are obtained at (x=0) and (y=0)?

Explanation opens after your attempt

Correct Answer

A. (\left\(0,-4\right\)) और (\left\(16,0\right\))(\left\(0,-4\right\)) and (\left\(16,0\right\))

Step 1

Concept

At (x=0), (y=-4), and at (y=0), (x=16). While finding intercepts, note which variable is kept zero.

Step 2

Why this answer is correct

The correct answer is A. (\left\(0,-4\right\)) और (\left\(16,0\right\)) / (\left\(0,-4\right\)) and (\left\(16,0\right\)). At (x=0), (y=-4), and at (y=0), (x=16). While finding intercepts, note which variable is kept zero.

Step 3

Exam Tip

(x=0) पर (y=-4) और (y=0) पर (x=16)। अवरोध निकालते समय कौन-सा चर शून्य रखा है, यह ध्यान रखें।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखा (9x-5y=45) के दोनों अवरोधों का सही युग्म कौन-सा है?

Which is the correct pair of intercepts of the line (9x-5y=45)?

Explanation opens after your attempt

Correct Answer

A. (\left\(5,0\right\)) और (\left\(0,-9\right\))(\left\(5,0\right\)) and (\left\(0,-9\right\))

Step 1

Concept

At (y=0), (x=5), and at (x=0), (y=-9). Plot the negative intercept in the correct direction.

Step 2

Why this answer is correct

The correct answer is A. (\left\(5,0\right\)) और (\left\(0,-9\right\)) / (\left\(5,0\right\)) and (\left\(0,-9\right\)). At (y=0), (x=5), and at (x=0), (y=-9). Plot the negative intercept in the correct direction.

Step 3

Exam Tip

(y=0) पर (x=5) और (x=0) पर (y=-9)। ऋण अवरोध को सही दिशा में अंकित करें।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (x-3y=12) के लिए (x=0) और (y=0) पर कौन-से अवरोध मिलते हैं?

For the line (x-3y=12), what intercepts are obtained at (x=0) and (y=0)?

Explanation opens after your attempt

Correct Answer

A. (\left\(0,-4\right\)) और (\left\(12,0\right\))(\left\(0,-4\right\)) and (\left\(12,0\right\))

Step 1

Concept

At (x=0), (y=-4), and at (y=0), (x=12). While finding intercepts, note which variable is kept zero.

Step 2

Why this answer is correct

The correct answer is A. (\left\(0,-4\right\)) और (\left\(12,0\right\)) / (\left\(0,-4\right\)) and (\left\(12,0\right\)). At (x=0), (y=-4), and at (y=0), (x=12). While finding intercepts, note which variable is kept zero.

Step 3

Exam Tip

(x=0) पर (y=-4) और (y=0) पर (x=12)। अवरोध निकालते समय कौन-सा चर शून्य रखा है, यह ध्यान रखें।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (7x-4y=28) के दोनों अवरोधों का सही युग्म कौन-सा है?

Which is the correct pair of intercepts of the line (7x-4y=28)?

Explanation opens after your attempt

Correct Answer

A. (\left\(4,0\right\)) और (\left\(0,-7\right\))(\left\(4,0\right\)) and (\left\(0,-7\right\))

Step 1

Concept

At (y=0), (x=4), and at (x=0), (y=-7). Plot the negative intercept in the correct direction.

Step 2

Why this answer is correct

The correct answer is A. (\left\(4,0\right\)) और (\left\(0,-7\right\)) / (\left\(4,0\right\)) and (\left\(0,-7\right\)). At (y=0), (x=4), and at (x=0), (y=-7). Plot the negative intercept in the correct direction.

Step 3

Exam Tip

(y=0) पर (x=4) और (x=0) पर (y=-7)। ऋण अवरोध को सही दिशा में अंकित करें।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखा (3x+5y=30) के अवरोध कौन-से हैं?

What are the intercepts of the line (3x+5y=30)?

Explanation opens after your attempt

Correct Answer

A. (\left\(10,0\right\)) और (\left\(0,6\right\))(\left\(10,0\right\)) and (\left\(0,6\right\))

Step 1

Concept

Putting (y=0) gives (x=10), and putting (x=0) gives (y=6). Intercepts make line drawing easier.

Step 2

Why this answer is correct

The correct answer is A. (\left\(10,0\right\)) और (\left\(0,6\right\)) / (\left\(10,0\right\)) and (\left\(0,6\right\)). Putting (y=0) gives (x=10), and putting (x=0) gives (y=6). Intercepts make line drawing easier.

Step 3

Exam Tip

(y=0) रखने पर (x=10) और (x=0) रखने पर (y=6)। अवरोधों से रेखा खींचना आसान होता है।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (2x+5y=20) के अवरोध कौन-से हैं?

What are the intercepts of the line (2x+5y=20)?

Explanation opens after your attempt

Correct Answer

A. ( (10,0) ) और ( (0,4) )( (10,0) ) and ( (0,4) )

Step 1

Concept

Putting (y=0) gives (x=10), and putting (x=0) gives (y=4). Intercepts make the graph quick and clear.

Step 2

Why this answer is correct

The correct answer is A. ( (10,0) ) और ( (0,4) ) / ( (10,0) ) and ( (0,4) ). Putting (y=0) gives (x=10), and putting (x=0) gives (y=4). Intercepts make the graph quick and clear.

Step 3

Exam Tip

(y=0) रखने पर (x=10) और (x=0) रखने पर (y=4)। अवरोधों से ग्राफ जल्दी और साफ बनता है।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (3x+2y=12) के अवरोध कौन-से हैं?

What are the intercepts of the line (3x+2y=12)?

Explanation opens after your attempt

Correct Answer

B. ( (4,0) ) और ( (0,6) )( (4,0) ) and ( (0,6) )

Step 1

Concept

At (y=0), (x=4), and at (x=0), (y=6). Intercepts help draw the line quickly.

Step 2

Why this answer is correct

The correct answer is B. ( (4,0) ) और ( (0,6) ) / ( (4,0) ) and ( (0,6) ). At (y=0), (x=4), and at (x=0), (y=6). Intercepts help draw the line quickly.

Step 3

Exam Tip

(y=0) पर (x=4) और (x=0) पर (y=6)। अवरोधों से रेखा जल्दी खींची जा सकती है।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

समीकरण (x+y=18) की रेखा किन दो अवरोधों से होकर गुजरती है?

Through which two intercepts does the line (x+y=18) pass?

Explanation opens after your attempt

Correct Answer

B. ( (18,0) ) और ( (0,18) )

Step 1

Concept

When (y=0), (x=18), and when (x=0), (y=18). These two intercepts are enough to draw the line.

Step 2

Why this answer is correct

The correct answer is B. ( (18,0) ) और ( (0,18) ). When (y=0), (x=18), and when (x=0), (y=18). These two intercepts are enough to draw the line.

Step 3

Exam Tip

(y=0) पर (x=18) और (x=0) पर (y=18)। ये दो अवरोध रेखा बनाने के लिए पर्याप्त हैं।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

समीकरण (x+y=14) की रेखा किन दो अवरोधों से होकर गुजरती है?

Through which two intercepts does the line (x+y=14) pass?

Explanation opens after your attempt

Correct Answer

B. ( (14,0) ) और ( (0,14) )

Step 1

Concept

When (y=0), (x=14), and when (x=0), (y=14). These two intercepts are enough to draw the line.

Step 2

Why this answer is correct

The correct answer is B. ( (14,0) ) और ( (0,14) ). When (y=0), (x=14), and when (x=0), (y=14). These two intercepts are enough to draw the line.

Step 3

Exam Tip

(y=0) पर (x=14) और (x=0) पर (y=14)। ये दो अवरोध रेखा खींचने के लिए पर्याप्त हैं।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=6) की रेखा किन दो अवरोधों से होकर जा सकती है?

Through which two intercepts can the line (x+y=6) pass?

Explanation opens after your attempt

Correct Answer

A. ( (6,0) ) और ( (0,6) )

Step 1

Concept

When (y=0), (x=6), and when (x=0), (y=6). These two points are enough to draw the line.

Step 2

Why this answer is correct

The correct answer is A. ( (6,0) ) और ( (0,6) ). When (y=0), (x=6), and when (x=0), (y=6). These two points are enough to draw the line.

Step 3

Exam Tip

(y=0) पर (x=6) और (x=0) पर (y=6)। ये दो बिंदु रेखा खींचने के लिए पर्याप्त हैं।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि बहुपद (p(x)=2(x-1)(x+4)) है तो ग्राफ के (x)-प्रतिच्छेद कौन से हैं?

If (p(x)=2(x-1)(x+4)), what are the (x)-intercepts of its graph?

Explanation opens after your attempt

Correct Answer

A. ((1,0)) और ((-4,0))((1,0)) and ((-4,0))

Step 1

Concept

Making the factors zero gives (x=1) and (x=-4). Write (x)-intercepts as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((1,0)) और ((-4,0)) / ((1,0)) and ((-4,0)). Making the factors zero gives (x=1) and (x=-4). Write (x)-intercepts as ((x,0)).

Step 3

Exam Tip

गुणनखंड शून्य करने पर (x=1) और (x=-4) मिलते हैं। (x)-प्रतिच्छेद को ((x,0)) रूप में लिखें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि किसी बहुपद के ग्राफ के (x)-प्रतिच्छेद ((-4,0)), ((1,0)), और ((6,0)) हैं तो शून्यकों का समुच्चय क्या है?

If the (x)-intercepts of a polynomial graph are ((-4,0)), ((1,0)), and ((6,0)), what is the set of zeroes?

Explanation opens after your attempt

Correct Answer

A. ({-4,1,6})

Step 1

Concept

A zero is the (x)-coordinate of the intercept point. Do not write (y=0) as the zero.

Step 2

Why this answer is correct

The correct answer is A. ({-4,1,6}). A zero is the (x)-coordinate of the intercept point. Do not write (y=0) as the zero.

Step 3

Exam Tip

शून्यक प्रतिच्छेद बिंदु का (x)-निर्देशांक होता है। (y=0) को शून्यक न लिखें।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान और (y)-अवरोध अलग हों, तो उनके समीकरणों के युग्म में कितने हल होंगे?

If two lines have the same slope and different (y)-intercepts, how many solutions will their pair of equations have?

Explanation opens after your attempt

Correct Answer

C. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts mean distinct parallel lines. Therefore, they never intersect.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं / No solution. Same slope and different intercepts mean distinct parallel lines. Therefore, they never intersect.

Step 3

Exam Tip

समान ढाल और अलग अवरोध का अर्थ अलग समांतर रेखाएँ है। इसलिए वे कभी नहीं कटतीं।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान लेकिन (y)-अवरोध अलग हो, तो युग्म की प्रकृति क्या होगी?

If two lines have the same slope but different (y)-intercepts, what will be the nature of the pair?

Explanation opens after your attempt

Correct Answer

B. असंगतInconsistent

Step 1

Concept

Same slope and different intercepts make the lines distinct parallel. Therefore, the pair is inconsistent.

Step 2

Why this answer is correct

The correct answer is B. असंगत / Inconsistent. Same slope and different intercepts make the lines distinct parallel. Therefore, the pair is inconsistent.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए युग्म असंगत होता है।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान लेकिन अवरोध अलग हो, तो सही निष्कर्ष क्या है?

If two lines have the same slope but different intercepts, what is the correct conclusion?

Explanation opens after your attempt

Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि दो रेखाओं की ढाल समान लेकिन (y)-अवरोध अलग हो, तो कौन-सा निष्कर्ष सही है?

If two lines have the same slope but different (y)-intercepts, which conclusion is correct?

Explanation opens after your attempt

Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान लेकिन अवरोध अलग हो तो युग्म कैसा होगा?

If two lines have the same slope but different intercepts then what type of pair will it be?

Explanation opens after your attempt

Correct Answer

B. असंगतInconsistent

Step 1

Concept

Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. असंगत / Inconsistent. Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध से रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि दो रेखाओं की ढाल समान लेकिन (y)-अवरोध अलग हों, तो हलों की संख्या क्या होगी?

If two lines have the same slope but different (y)-intercepts, how many solutions will there be?

Explanation opens after your attempt

Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts make the lines parallel. Distinct parallel lines give no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines parallel. Distinct parallel lines give no solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को समानांतर बनाते हैं। समानांतर अलग रेखाएं कोई हल नहीं देतीं।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

यदि दो रेखाओं की ढालें \(m_1=-\frac{7}{4}\) और \(m_2=-\frac{7}{4}\) हैं, लेकिन (y)-अवरोध अलग हैं, तो ग्राफीय निष्कर्ष क्या है?

If two lines have slopes \(m_1=-\frac{7}{4}\) and \(m_2=-\frac{7}{4}\), but different (y)-intercepts, what is the graphical conclusion?

Explanation opens after your attempt

Correct Answer

B. कोई समाधान नहींNo solution

Step 1

Concept

Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 2

Why this answer is correct

The correct answer is B. कोई समाधान नहीं / No solution. Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 3

Exam Tip

समान ढाल और अलग (y)-अवरोध वाली रेखाएं समांतर होती हैं। इसलिए उनका कोई प्रतिच्छेद नहीं होता।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

यदि दो रेखाओं की ढालें \(m_1=\frac{5}{2}\) और \(m_2=\frac{5}{2}\) हैं, लेकिन (y)-अवरोध अलग हैं, तो ग्राफीय निष्कर्ष क्या है?

If two lines have slopes \(m_1=\frac{5}{2}\) and \(m_2=\frac{5}{2}\), but different (y)-intercepts, what is the graphical conclusion?

Explanation opens after your attempt

Correct Answer

B. कोई समाधान नहींNo solution

Step 1

Concept

Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 2

Why this answer is correct

The correct answer is B. कोई समाधान नहीं / No solution. Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 3

Exam Tip

समान ढाल और अलग (y)-अवरोध वाली रेखाएं समांतर होती हैं। इसलिए उनका कोई प्रतिच्छेद नहीं होता।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

किस युग्म में दोनों रेखाओं की ढाल समान है लेकिन (y)-अवरोध अलग है?

In which pair do both lines have equal slopes but different (y)-intercepts?

Explanation opens after your attempt

Correct Answer

A. (y=2x+5), (y=2x-3)

Step 1

Concept

Both have slope (2), but intercepts (5) and (-3) are different. Hence they are distinct parallel lines.

Step 2

Why this answer is correct

The correct answer is A. (y=2x+5), (y=2x-3). Both have slope (2), but intercepts (5) and (-3) are different. Hence they are distinct parallel lines.

Step 3

Exam Tip

दोनों में ढाल (2) है लेकिन अवरोध (5) और (-3) अलग हैं। इसलिए ये समांतर अलग-अलग रेखाएं हैं।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाओं की ढालें \(m_1=-\frac{4}{3}\) और \(m_2=-\frac{4}{3}\) हैं, लेकिन (y)-अवरोध अलग हैं, तो ग्राफीय निष्कर्ष क्या है?

If two lines have slopes \(m_1=-\frac{4}{3}\) and \(m_2=-\frac{4}{3}\), but different (y)-intercepts, what is the graphical conclusion?

Explanation opens after your attempt

Correct Answer

B. कोई समाधान नहींNo solution

Step 1

Concept

Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 2

Why this answer is correct

The correct answer is B. कोई समाधान नहीं / No solution. Lines with equal slopes and different (y)-intercepts are parallel. Therefore they have no intersection.

Step 3

Exam Tip

समान ढाल और अलग (y)-अवरोध वाली रेखाएं समांतर होती हैं। इसलिए उनका कोई प्रतिच्छेद नहीं होता।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखा (9x-4y=36) को खींचने के लिए कौन सा अवरोध-युग्म सही है?

Which intercept pair is correct for drawing the line (9x-4y=36)?

Explanation opens after your attempt

Correct Answer

A. ((4,0)) और ((0,-9))((4,0)) and ((0,-9))

Step 1

Concept

Putting (y=0) gives (x=4), and putting (x=0) gives (y=-9). Intercepts give convenient points for graphing.

Step 2

Why this answer is correct

The correct answer is A. ((4,0)) और ((0,-9)) / ((4,0)) and ((0,-9)). Putting (y=0) gives (x=4), and putting (x=0) gives (y=-9). Intercepts give convenient points for graphing.

Step 3

Exam Tip

(y=0) रखने पर (x=4), और (x=0) रखने पर (y=-9)। अवरोध ग्राफ बनाने के लिए सुविधाजनक बिंदु देते हैं।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखा (7x-3y=21) को खींचने के लिए कौन सा अवरोध-युग्म सही है?

Which intercept pair is correct for drawing the line (7x-3y=21)?

Explanation opens after your attempt

Correct Answer

A. ((3,0)) और ((0,-7))((3,0)) and ((0,-7))

Step 1

Concept

Putting (y=0) gives (x=3), and putting (x=0) gives (y=-7). Intercepts give simple and useful points for graphing.

Step 2

Why this answer is correct

The correct answer is A. ((3,0)) और ((0,-7)) / ((3,0)) and ((0,-7)). Putting (y=0) gives (x=3), and putting (x=0) gives (y=-7). Intercepts give simple and useful points for graphing.

Step 3

Exam Tip

(y=0) रखने पर (x=3), और (x=0) रखने पर (y=-7)। अवरोध ग्राफ बनाने के लिए सरल और उपयोगी बिंदु देते हैं।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (5x-2y=20) खींचने के लिए कौन सा अवरोध-युग्म सही है?

Which intercept pair is correct for drawing the line (5x-2y=20)?

Explanation opens after your attempt

Correct Answer

A. ((4,0)) और ((0,-10))((4,0)) and ((0,-10))

Step 1

Concept

Putting (y=0) gives (x=4), and putting (x=0) gives (y=-10). Intercepts make the graph quick and clear.

Step 2

Why this answer is correct

The correct answer is A. ((4,0)) और ((0,-10)) / ((4,0)) and ((0,-10)). Putting (y=0) gives (x=4), and putting (x=0) gives (y=-10). Intercepts make the graph quick and clear.

Step 3

Exam Tip

(y=0) रखने पर (x=4) और (x=0) रखने पर (y=-10)। अवरोधों से ग्राफ जल्दी और साफ बनता है।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखा (3x-4y=12) के (x)-अवरोध और (y)-अवरोध कौन से हैं?

What are the (x)-intercept and (y)-intercept of (3x-4y=12)?

Explanation opens after your attempt

Correct Answer

A. ((4,0)) और ((0,-3))((4,0)) and ((0,-3))

Step 1

Concept

Putting (y=0) gives (x=4), and putting (x=0) gives (y=-3). Intercepts help draw the line quickly.

Step 2

Why this answer is correct

The correct answer is A. ((4,0)) और ((0,-3)) / ((4,0)) and ((0,-3)). Putting (y=0) gives (x=4), and putting (x=0) gives (y=-3). Intercepts help draw the line quickly.

Step 3

Exam Tip

(y=0) रखने पर (x=4) और (x=0) रखने पर (y=-3)। अवरोधों से रेखा जल्दी खींची जा सकती है।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

एक छात्र ने (3x+4y=12) को ग्राफ करने के लिए ((4,0)) और ((0,3)) बिंदु लिए। यह चयन कैसा है?

A student chose ((4,0)) and ((0,3)) to graph (3x+4y=12). How is this choice?

Explanation opens after your attempt

Correct Answer

A. सहीCorrect

Step 1

Concept

Both ((4,0)) and ((0,3)) satisfy (3x+4y=12). Two correct points are enough to draw a line.

Step 2

Why this answer is correct

The correct answer is A. सही / Correct. Both ((4,0)) and ((0,3)) satisfy (3x+4y=12). Two correct points are enough to draw a line.

Step 3

Exam Tip

((4,0)) और ((0,3)) दोनों समीकरण (3x+4y=12) को संतुष्ट करते हैं। ग्राफ बनाते समय दो सही बिंदु पर्याप्त होते हैं।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखा (3x+4y=24) के (x)-अवरोध और (y)-अवरोध कौन-से हैं?

What are the (x)-intercept and (y)-intercept of the line (3x+4y=24)?

Explanation opens after your attempt

Correct Answer

A. ( (8,0) ) और ( (0,6) )( (8,0) ) and ( (0,6) )

Step 1

Concept

At (y=0), (x=8), and at (x=0), (y=6). Intercepts help draw the line quickly and correctly.

Step 2

Why this answer is correct

The correct answer is A. ( (8,0) ) और ( (0,6) ) / ( (8,0) ) and ( (0,6) ). At (y=0), (x=8), and at (x=0), (y=6). Intercepts help draw the line quickly and correctly.

Step 3

Exam Tip

(y=0) पर (x=8) और (x=0) पर (y=6)। अवरोधों से रेखा जल्दी और सही बनती है।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (3x+4y=24) के लिए (x)-अवरोध और (y)-अवरोध का सही युग्म कौन-सा है?

Which is the correct pair of (x)-intercept and (y)-intercept for the line (3x+4y=24)?

Explanation opens after your attempt

Correct Answer

A. ( (8,0) ) और ( (0,6) )( (8,0) ) and ( (0,6) )

Step 1

Concept

At (y=0), (x=8), and at (x=0), (y=6). Write the (x)-intercept first and then the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ( (8,0) ) और ( (0,6) ) / ( (8,0) ) and ( (0,6) ). At (y=0), (x=8), and at (x=0), (y=6). Write the (x)-intercept first and then the (y)-intercept.

Step 3

Exam Tip

(y=0) पर (x=8) और (x=0) पर (y=6)। पहले (x)-अवरोध और फिर (y)-अवरोध लिखें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

समीकरण (3x+6y=24) की रेखा किन बिंदुओं से खींची जा सकती है?

Using which points can the line (3x+6y=24) be drawn?

Explanation opens after your attempt

Correct Answer

C. ( (8,0) ) और ( (0,4) )

Step 1

Concept

When (y=0), (x=8), and when (x=0), (y=4). Once two correct points are found, the line is easy to draw.

Step 2

Why this answer is correct

The correct answer is C. ( (8,0) ) और ( (0,4) ). When (y=0), (x=8), and when (x=0), (y=4). Once two correct points are found, the line is easy to draw.

Step 3

Exam Tip

(y=0) पर (x=8) और (x=0) पर (y=4)। दो सही बिंदु मिलने पर रेखा आसानी से बनती है।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

समीकरण (2x+4y=16) की रेखा किन बिंदुओं से खींची जा सकती है?

Using which points can the line (2x+4y=16) be drawn?

Explanation opens after your attempt

Correct Answer

C. ( (8,0) ) और ( (0,4) )

Step 1

Concept

When (y=0), (x=8), and when (x=0), (y=4). Once two correct points are found, the line is easy to draw.

Step 2

Why this answer is correct

The correct answer is C. ( (8,0) ) और ( (0,4) ). When (y=0), (x=8), and when (x=0), (y=4). Once two correct points are found, the line is easy to draw.

Step 3

Exam Tip

(y=0) पर (x=8) और (x=0) पर (y=4)। सही दो बिंदु मिलें तो रेखा आसानी से बनती है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x^-2-7x+12) है, तो (p(x)) का ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?

If (p(x)=x^-2-7x+12), at which points will the graph of (p(x)) cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. ((3,0),(4,0))

Step 1

Concept

(x^-2-7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). The (x)-axis points are ((3,0)) and ((4,0)).

Step 2

Why this answer is correct

The correct answer is A. ((3,0),(4,0)). (x^-2-7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). The (x)-axis points are ((3,0)) and ((4,0)).

Step 3

Exam Tip

(x^-2-7x+12=(x-3)(x-4)), इसलिए शून्यक (3) और (4) हैं। (x)-अक्ष पर बिंदु ((3,0)) और ((4,0)) होंगे।

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Question Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि (p(x)=x^-2-5) है, तो ग्राफ (y=p(x)) (x)-अक्ष को कहाँ काटेगा?

If (p(x)=x^-2-5), where will the graph (y=p(x)) cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

On the (x)-axis, (p(x)=0), so \(x^2-5=0\) gives \(x=\pm\sqrt{5}\). The (x)-intercepts are the zeroes.

Step 2

Why this answer is correct

The correct answer is A. \(x=\pm\sqrt{5}\). On the (x)-axis, (p(x)=0), so \(x^2-5=0\) gives \(x=\pm\sqrt{5}\). The (x)-intercepts are the zeroes.

Step 3

Exam Tip

(x)-अक्ष पर (p(x)=0), इसलिए \(x^2-5=0\) से \(x=\pm\sqrt{5}\) है। ग्राफ में (x)-कट शून्यक होते हैं।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि बहुपद (p(x)=5(x+1)(x-2)(x-4)) है तो ग्राफ (x)-अक्ष को कितने अलग बिंदुओं पर काटेगा?

If (p(x)=5(x+1)(x-2)(x-4)), at how many distinct points will the graph cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. तीनThree

Step 1

Concept

The factors give zeroes (-1), (2), and (4). Three distinct zeroes give three distinct (x)-intercepts.

Step 2

Why this answer is correct

The correct answer is A. तीन / Three. The factors give zeroes (-1), (2), and (4). Three distinct zeroes give three distinct (x)-intercepts.

Step 3

Exam Tip

गुणनखंडों से शून्यक (-1), (2), और (4) हैं। तीन अलग शून्यक तीन अलग (x)-प्रतिच्छेद देते हैं।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-2x-8) है तो ग्राफ (x)-अक्ष को किन बिंदुओं पर मिलेगा?

If (p(x)=x^-2-2x-8), at which points will the graph meet the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. ((-2,0)) और ((4,0))((-2,0)) and ((4,0))

Step 1

Concept

(x^-2-2x-8=(x-4)(x+2)). So the graph meets the (x)-axis at (x=4) and (x=-2).

Step 2

Why this answer is correct

The correct answer is A. ((-2,0)) और ((4,0)) / ((-2,0)) and ((4,0)). (x^-2-2x-8=(x-4)(x+2)). So the graph meets the (x)-axis at (x=4) and (x=-2).

Step 3

Exam Tip

(x^-2-2x-8=(x-4)(x+2)) है। अतः (x=4) और (x=-2) पर ग्राफ (x)-अक्ष से मिलेगा।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

द्विघात (p(x)=x^-2+2x-15) का ग्राफ (x)-अक्ष को किन (x)-मानों पर काटेगा?

At which (x)-values will the graph of (p(x)=x^-2+2x-15) cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. (3) और (-5)(3) and (-5)

Step 1

Concept

(x^-2+2x-15=(x+5)(x-3)). Zeroes are the (x)-values of (x)-axis intersections.

Step 2

Why this answer is correct

The correct answer is A. (3) और (-5) / (3) and (-5). (x^-2+2x-15=(x+5)(x-3)). Zeroes are the (x)-values of (x)-axis intersections.

Step 3

Exam Tip

(x^-2+2x-15=(x+5)(x-3)) है। शून्यक (x)-अक्ष पर कटान के (x)-मान होते हैं।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-9) है तो इसका ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?

If (p(x)=x^-2-9), at which points will its graph cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. ((-3,0)) और ((3,0))((-3,0)) and ((3,0))

Step 1

Concept

Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0)). Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).

Step 3

Exam Tip

\(x^2-9=0\) से \(x=\pm3\) मिलता है। शून्यक हमेशा (x)-अक्ष पर ((x,0)) रूप में दिखते हैं।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के (x)-अक्ष कटान ((-4,0)), ((6,0)), ((16,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-4,0)), ((6,0)), ((16,0)), what is the mean of their zeroes?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (6). The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-4+6+16}{3}=6\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-hx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-hx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((0,0)) और ((h,0))((0,0)) and ((h,0))

Step 1

Concept

(x^-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((h,0)) / ((0,0)) and ((h,0)). (x^-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 3

Exam Tip

(x^-2-hx=x(x-h)) है, इसलिए शून्यक (0) और (h) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-13x+k) का एक शून्यक (6) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x^-2-13x+k) has one zero (6), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt

Correct Answer

A. दूसरा (7), कटान ((6,0)), ((7,0))Other (7), intersections ((6,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0)). In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (13) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-13x-68) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-13x-68), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((17,0)) और ((-4,0))((17,0)) and ((-4,0))

Step 1

Concept

(x^-2-13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((17,0)) और ((-4,0)) / ((17,0)) and ((-4,0)). (x^-2-13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.

Step 3

Exam Tip

(x^-2-13x-68=(x-17)(x+4)) है, इसलिए शून्यक (17) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-(2n+3)x+n(n+3)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-(2n+3)x+n(n+3)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((n,0)) और ((n+3,0))((n,0)) and ((n+3,0))

Step 1

Concept

The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0)). The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-n)(x-(n+3))) है इसलिए शून्यक (n) और (n+3) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी ग्राफ के (x)-अक्ष कटान ((-3,0)), ((5,0)), ((13,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-3,0)), ((5,0)), ((13,0)), what is the mean of their zeroes?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (5). The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-3+5+13}{3}=5\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-ex) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-ex), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((0,0)) और ((e,0))((0,0)) and ((e,0))

Step 1

Concept

(x^-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((e,0)) / ((0,0)) and ((e,0)). (x^-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 3

Exam Tip

(x^-2-ex=x(x-e)) है, इसलिए शून्यक (0) और (e) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-11x+k) का एक शून्यक (4) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x^-2-11x+k) has one zero (4), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt

Correct Answer

A. दूसरा (7), कटान ((4,0)), ((7,0))Other (7), intersections ((4,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0)). In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (11) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-9x-52) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-9x-52), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((13,0)) और ((-4,0))((13,0)) and ((-4,0))

Step 1

Concept

(x^-2-9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((13,0)) और ((-4,0)) / ((13,0)) and ((-4,0)). (x^-2-9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.

Step 3

Exam Tip

(x^-2-9x-52=(x-13)(x+4)) है, इसलिए शून्यक (13) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-(2m-1)x+m(m^-1)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-(2m-1)x+m(m^-1)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((m,0)) और ((m^-1,0))((m,0)) and ((m^-1,0))

Step 1

Concept

The polynomial is ((x-m)(x-(m^-1))), so the zeroes are (m) and (m^-1). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((m^-1,0)) / ((m,0)) and ((m^-1,0)). The polynomial is ((x-m)(x-(m^-1))), so the zeroes are (m) and (m^-1). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-m)(x-(m^-1))) है, इसलिए शून्यक (m) और (m^-1) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि किसी ग्राफ के (x)-अक्ष कटान ((-2,0)), ((4,0)), ((10,0)) हैं तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-2,0)), ((4,0)), ((10,0)), what is the mean of their zeroes?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (4). The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-2+4+10}{3}=4\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-cx) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-cx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((0,0)) और ((c,0))((0,0)) and ((c,0))

Step 1

Concept

(x^-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((c,0)) / ((0,0)) and ((c,0)). (x^-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 3

Exam Tip

(x^-2-cx=x(x-c)) है इसलिए शून्यक (0) और (c) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-9x+k) का एक शून्यक (4) है तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x^-2-9x+k) has one zero (4), what will be the other zero and intersection points?

Explanation opens after your attempt

Correct Answer

A. दूसरा (5), कटान ((4,0)), ((5,0))Other (5), intersections ((4,0)), ((5,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0)). In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (9) है इसलिए दूसरा शून्यक (5) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-8x-33) है तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-8x-33), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((11,0)) और ((-3,0))((11,0)) and ((-3,0))

Step 1

Concept

(x^-2-8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((11,0)) और ((-3,0)) / ((11,0)) and ((-3,0)). (x^-2-8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.

Step 3

Exam Tip

(x^-2-8x-33=(x-11)(x+3)) है इसलिए शून्यक (11) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x^-2-(u+v)x+uv) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-(u+v)x+uv), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((u,0)) और ((v,0))((u,0)) and ((v,0))

Step 1

Concept

It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((u,0)) और ((v,0)) / ((u,0)) and ((v,0)). It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 3

Exam Tip

यह ((x-u)(x-v)) है इसलिए शून्यक (u) और (v) हैं। टिप: शून्यक को ((x,0)) बिंदु के रूप में लिखें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के (x)-अक्ष कटान ((-1,0)), ((3,0)), ((7,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-1,0)), ((3,0)), ((7,0)), what is the mean of their zeroes?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (3). The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-1+3+7}{3}=3\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-bx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-bx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((0,0)) और ((b,0))((0,0)) and ((b,0))

Step 1

Concept

(x^-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((b,0)) / ((0,0)) and ((b,0)). (x^-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 3

Exam Tip

(x^-2-bx=x(x-b)) है, इसलिए शून्यक (0) और (b) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-7x+k) का एक शून्यक (3) है, तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x^-2-7x+k) has one zero (3), what will be the other zero and intersection points?

Explanation opens after your attempt

Correct Answer

A. दूसरा (4), कटान ((3,0)), ((4,0))Other (4), intersections ((3,0)), ((4,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0)). In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (7) है, इसलिए दूसरा शून्यक (4) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-4x-21) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-4x-21), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((7,0)) और ((-3,0))((7,0)) and ((-3,0))

Step 1

Concept

(x^-2-4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((7,0)) और ((-3,0)) / ((7,0)) and ((-3,0)). (x^-2-4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.

Step 3

Exam Tip

(x^-2-4x-21=(x-7)(x+3)) है, इसलिए शून्यक (7) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-(m+n)x+mn) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-(m+n)x+mn), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((m,0)) और ((n,0))((m,0)) and ((n,0))

Step 1

Concept

It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((n,0)) / ((m,0)) and ((n,0)). It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 3

Exam Tip

यह ((x-m)(x-n)) है इसलिए शून्यक (m) और (n) हैं। टिप: शून्यक को ((x,0)) में लिखें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-ax) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-ax), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((0,0)) और ((a,0))((0,0)) and ((a,0))

Step 1

Concept

(x^-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((a,0)) / ((0,0)) and ((a,0)). (x^-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 3

Exam Tip

(x^-2-ax=x(x-a)), इसलिए शून्यक (0) और (a) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-5x+k) का एक शून्यक (2) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होगा?

If (p(x)=x^-2-5x+k) has one zero (2), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt

Correct Answer

A. दूसरा (3), कटान ((2,0)), ((3,0))Other (3), intersections ((2,0)), ((3,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0)). In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (5) है, इसलिए दूसरा शून्यक (3) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2+2x-15) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2+2x-15), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((3,0)) और ((-5,0))((3,0)) and ((-5,0))

Step 1

Concept

(x^-2+2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.

Step 2

Why this answer is correct

The correct answer is A. ((3,0)) और ((-5,0)) / ((3,0)) and ((-5,0)). (x^-2+2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.

Step 3

Exam Tip

(x^-2+2x-15=(x+5)(x-3)), इसलिए शून्यक (-5) और (3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-(a+b)x+ab) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x^-2-(a+b)x+ab), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((a,0)) और ((b,0))((a,0)) and ((b,0))

Step 1

Concept

The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 2

Why this answer is correct

The correct answer is A. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 3

Exam Tip

बहुपद ((x-a)(x-b)) के बराबर है, इसलिए शून्यक (a) और (b) हैं। टिप: गुणनखंड रूप को ग्राफ कटान से जोड़ें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि ग्राफ (x)-अक्ष को ((2,0)) और ((14,0)) पर काटता है तो शून्यकों का औसत क्या है?

If a graph cuts the (x)-axis at ((2,0)) and ((14,0)), what is the average of the zeroes?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

The average is \(\frac{2+14}{2}=8\). Tip: use the (x)-coordinates for the average.

Step 2

Why this answer is correct

The correct answer is B. (8). The average is \(\frac{2+14}{2}=8\). Tip: use the (x)-coordinates for the average.

Step 3

Exam Tip

औसत \(\frac{2+14}{2}=8\) है। टिप: औसत में (x)-निर्देशांकों का प्रयोग करें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=(x+2)(x-7)) है तो ग्राफ (x)-अक्ष से किन बिंदुओं पर मिलेगा?

If (p(x)=(x+2)(x-7)), at which points will the graph meet the (x)-axis?

Explanation opens after your attempt

Correct Answer

B. ((-2,0)) और ((7,0))((-2,0)) and ((7,0))

Step 1

Concept

Setting the factors to zero gives (x=-2) and (x=7). Tip: convert each zero into the point ((x,0)).

Step 2

Why this answer is correct

The correct answer is B. ((-2,0)) और ((7,0)) / ((-2,0)) and ((7,0)). Setting the factors to zero gives (x=-2) and (x=7). Tip: convert each zero into the point ((x,0)).

Step 3

Exam Tip

कारक शून्य करने पर (x=-2) और (x=7) मिलते हैं। टिप: शून्यक को ((x,0)) बिंदु में बदलें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के (x)-अक्ष कटान ((3,0)) और ((12,0)) हैं तो शून्यकों का औसत क्या है?

If the (x)-axis intersections of a graph are ((3,0)) and ((12,0)), what is the average of the zeroes?

Explanation opens after your attempt

Correct Answer

C. (7.5)

Step 1

Concept

The average is \(\frac{3+12}{2}=7.5\). Tip: divide the sum by (2) for the average.

Step 2

Why this answer is correct

The correct answer is C. (7.5). The average is \(\frac{3+12}{2}=7.5\). Tip: divide the sum by (2) for the average.

Step 3

Exam Tip

औसत \(\frac{3+12}{2}=7.5\) है। टिप: औसत में योग को (2) से भाग दें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x^-2-7x+12) है तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-7x+12), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt

Correct Answer

A. ((3,0)) और ((4,0))((3,0)) and ((4,0))

Step 1

Concept

(x^-2-7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). Tip: factor and then write intersection points.

Step 2

Why this answer is correct

The correct answer is A. ((3,0)) और ((4,0)) / ((3,0)) and ((4,0)). (x^-2-7x+12=(x-3)(x-4)), so the zeroes are (3) and (4). Tip: factor and then write intersection points.

Step 3

Exam Tip

(x^-2-7x+12=(x-3)(x-4)) इसलिए शून्यक (3) और (4) हैं। टिप: गुणनखंड बनाकर कटान बिंदु लिखें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=2x^-2-8) है तो ग्राफ के शून्यक कौन से हैं?

If (p(x)=2x^-2-8), what are the zeroes of the graph?

Explanation opens after your attempt

Correct Answer

A. (2) और (-2)(2) and (-2)

Step 1

Concept

From \(2x^2-8=0\), \(x^2=4\) and \(x=\pm2\). Tip: simplify by the common factor first.

Step 2

Why this answer is correct

The correct answer is A. (2) और (-2) / (2) and (-2). From \(2x^2-8=0\), \(x^2=4\) and \(x=\pm2\). Tip: simplify by the common factor first.

Step 3

Exam Tip

\(2x^2-8=0\) से \(x^2=4\) और \(x=\pm2\) मिलता है। टिप: पहले समान गुणक से सरल करें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि आलेख (x)-अक्ष को ((-10,0)) और ((0,0)) पर काटता है तो शून्यकों का गुणनफल क्या होगा?

If a graph cuts the (x)-axis at ((-10,0)) and ((0,0)), what will be the product of zeroes?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

The zeroes are (-10) and (0), so the product is (0). Tip: multiplying by (0) gives (0).

Step 2

Why this answer is correct

The correct answer is C. (0). The zeroes are (-10) and (0), so the product is (0). Tip: multiplying by (0) gives (0).

Step 3

Exam Tip

शून्यक (-10) और (0) हैं इसलिए गुणनफल (0) है। टिप: (0) से गुणा करने पर परिणाम (0) होता है।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी आलेख के (x)-अक्ष कटान ((-8,0)) और ((3,0)) हैं तो शून्यकों का सही जोड़ा कौन सा है?

If the (x)-axis intersections of a graph are ((-8,0)) and ((3,0)), which is the correct pair of zeroes?

Explanation opens after your attempt

Correct Answer

B. (-8) और (3)(-8) and (3)

Step 1

Concept

The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).

Step 2

Why this answer is correct

The correct answer is B. (-8) और (3) / (-8) and (3). The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).

Step 3

Exam Tip

कटान बिंदुओं के पहले निर्देशांक शून्यक होते हैं। टिप: दूसरे निर्देशांक को (0) देखकर बिंदु चुनें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को ((-3,0)), ((2,0)), ((8,0)) पर काटता है, तो सबसे छोटा शून्यक कौन सा है?

If a graph cuts the (x)-axis at ((-3,0)), ((2,0)), ((8,0)), which is the smallest zero?

Explanation opens after your attempt

Correct Answer

A. (-3)

Step 1

Concept

The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.

Step 2

Why this answer is correct

The correct answer is A. (-3). The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.

Step 3

Exam Tip

शून्यक (-3), (2), (8) हैं और सबसे छोटा (-3) है। टिप: ऋणात्मक संख्या धनात्मक से छोटी होती है।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी ग्राफ में (x)-अक्ष कटान ((a,0)), ((b,0)), ((c,0)) हैं। इनमें से कौन सा कथन सही है?

A graph has (x)-axis intersections ((a,0)), ((b,0)), ((c,0)). Which statement is correct?

Explanation opens after your attempt

Correct Answer

B. शून्यक (a,b,c) हैंThe zeroes are (a,b,c)

Step 1

Concept

The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).

Step 2

Why this answer is correct

The correct answer is B. शून्यक (a,b,c) हैं / The zeroes are (a,b,c). The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).

Step 3

Exam Tip

हर कटान बिंदु का पहला निर्देशांक शून्यक है। टिप: ((a,0)) से शून्यक (a) पढ़ें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को ((0,0)), ((2,0)) और ((5,0)) पर काटता है, तो कौन सा कथन सही है?

If a polynomial graph cuts the (x)-axis at ((0,0)), ((2,0)) and ((5,0)), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. (0), (2) और (5) शून्यक हैं(0), (2) and (5) are zeroes

Step 1

Concept

The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).

Step 2

Why this answer is correct

The correct answer is B. (0), (2) और (5) शून्यक हैं / (0), (2) and (5) are zeroes. The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).

Step 3

Exam Tip

मूल बिंदु भी (x)-अक्ष पर है, इसलिए (0) भी शून्यक है। टिप: ((0,0)) को नजरअंदाज न करें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि द्विघात बहुपद का ग्राफ (x)-अक्ष को ((-2,0)) और ((7,0)) पर काटता है, तो (p(-2)) और (p(7)) के मान क्या होंगे?

If the graph of a quadratic polynomial cuts the (x)-axis at ((-2,0)) and ((7,0)), what will be the values of (p(-2)) and (p(7))?

Explanation opens after your attempt

Correct Answer

A. दोनों (0)Both (0)

Step 1

Concept

At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.

Step 2

Why this answer is correct

The correct answer is A. दोनों (0) / Both (0). At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.

Step 3

Exam Tip

(x)-अक्ष कटान पर (y=p(x)=0) होता है। टिप: कटान बिंदु से फलन मान सीधे पढ़ें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x^-2-16), तो इसके ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x^-2-16), what are the (x)-axis intersections of its graph?

Explanation opens after your attempt

Correct Answer

B. ((4,0)) और ((-4,0))((4,0)) and ((-4,0))

Step 1

Concept

Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.

Step 2

Why this answer is correct

The correct answer is B. ((4,0)) और ((-4,0)) / ((4,0)) and ((-4,0)). Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.

Step 3

Exam Tip

\(x^2-16=0\) से \(x=\pm4\) मिलता है। टिप: शून्यक को (x)-अक्ष बिंदु में लिखें।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(-3)=0), (p(0)=5) और (p(4)=0), तो ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?

If (p(-3)=0), (p(0)=5) and (p(4)=0), at which points will the graph cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

B. ((-3,0)) और ((4,0))((-3,0)) and ((4,0))

Step 1

Concept

Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.

Step 2

Why this answer is correct

The correct answer is B. ((-3,0)) और ((4,0)) / ((-3,0)) and ((4,0)). Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.

Step 3

Exam Tip

जहाँ (p(x)=0) है वहीं (x)-अक्ष कटान है। टिप: (p(0)=5) शून्यक नहीं देता।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को ((-6,0)) और ((2,0)) पर काटता है, तो शून्यकों का गुणनफल क्या है?

If a graph cuts the (x)-axis at ((-6,0)) and ((2,0)), what is the product of zeroes?

Explanation opens after your attempt

Correct Answer

C. (-12)

Step 1

Concept

The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.

Step 2

Why this answer is correct

The correct answer is C. (-12). The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.

Step 3

Exam Tip

शून्यक (-6) और (2) हैं, इसलिए गुणनफल (-12) है। टिप: (y)-निर्देशांक को गुणन में शामिल न करें।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

आलेख में बिंदु ((0,0)) और ((3,0)) (x)-अक्ष पर हैं। संभावित शून्यक कौन से हैं?

In a graph the points ((0,0)) and ((3,0)) lie on the (x)-axis. What are the possible zeroes?

Explanation opens after your attempt

Correct Answer

A. (0) और (3)(0) and (3)

Step 1

Concept

The (x)-coordinates of both points give zeroes. Tip: the origin can also give a zero.

Step 2

Why this answer is correct

The correct answer is A. (0) और (3) / (0) and (3). The (x)-coordinates of both points give zeroes. Tip: the origin can also give a zero.

Step 3

Exam Tip

दोनों बिंदुओं के (x)-निर्देशांक शून्यक देते हैं। टिप: मूल बिंदु भी शून्यक दे सकता है।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

एक आलेख (x)-अक्ष को (-3) और (5) पर काटता है। इसके वास्तविक शून्यक कौन से हैं?

A graph cuts the (x)-axis at (-3) and (5). What are its real zeroes?

Explanation opens after your attempt

Correct Answer

A. (-3) और (5)(-3) and (5)

Step 1

Concept

The (x)-values of the intersection points are the zeroes. Tip: the (y)-value there is (0).

Step 2

Why this answer is correct

The correct answer is A. (-3) और (5) / (-3) and (5). The (x)-values of the intersection points are the zeroes. Tip: the (y)-value there is (0).

Step 3

Exam Tip

कटान बिंदुओं के (x)-मान शून्यक होते हैं। टिप: (y)-मान यहाँ (0) रहता है।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)) का ग्राफ (x)-अक्ष को ((u,0)), ((v,0)), और ((w,0)) पर काटता है, तो शून्यक कौन-से हैं?

If the graph of (p(x)) cuts the (x)-axis at ((u,0)), ((v,0)), and ((w,0)), what are the zeroes?

Explanation opens after your attempt

Correct Answer

A. (u), (v), (w)

Step 1

Concept

Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).

Step 2

Why this answer is correct

The correct answer is A. (u), (v), (w). Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).

Step 3

Exam Tip

शून्यक (x)-अक्ष कटावों के (x)-निर्देशांक होते हैं। इसलिए शून्यक (u), (v), और (w) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि बहुपद के ग्राफ में (x)-अक्ष से मिलने वाले बिंदु ((-9,0)), ((-1,0)), और ((3,0)) हैं, तो वास्तविक शून्यक कितने हैं?

If the points where a polynomial graph meets the (x)-axis are ((-9,0)), ((-1,0)), and ((3,0)), how many real zeroes are there?

Explanation opens after your attempt

Correct Answer

A. तीनThree

Step 1

Concept

Three distinct (x)-axis points show three distinct real zeroes. Their (x)-coordinates are the zeroes.

Step 2

Why this answer is correct

The correct answer is A. तीन / Three. Three distinct (x)-axis points show three distinct real zeroes. Their (x)-coordinates are the zeroes.

Step 3

Exam Tip

तीन अलग (x)-अक्ष बिंदु तीन अलग वास्तविक शून्यक बताते हैं। उनके (x)-निर्देशांक ही शून्यक हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के शून्यक (-1), (3), और (8) हैं, तो ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?

If the zeroes of a graph are (-1), (3), and (8), at which points will it cut the (x)-axis?

Explanation opens after your attempt

Correct Answer

A. ((-1,0)), ((3,0)), ((8,0))

Step 1

Concept

Use the zeroes as (x)-coordinates and take (y=0). So the intersection points are ((-1,0)), ((3,0)), and ((8,0)).

Step 2

Why this answer is correct

The correct answer is A. ((-1,0)), ((3,0)), ((8,0)). Use the zeroes as (x)-coordinates and take (y=0). So the intersection points are ((-1,0)), ((3,0)), and ((8,0)).

Step 3

Exam Tip

शून्यकों को (x)-निर्देशांक बनाकर (y=0) लिया जाता है। इसलिए कटाव बिंदु ((-1,0)), ((3,0)), और ((8,0)) होंगे।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

किस ग्राफ से शून्यक (1) और (-6) मिलेंगे?

Which graph will give zeroes (1) and (-6)?

Explanation opens after your attempt

Correct Answer

A. जो (x)-अक्ष को ((1,0)) और ((-6,0)) पर काटेOne that cuts the (x)-axis at ((1,0)) and ((-6,0))

Step 1

Concept

If the zeroes are (1) and (-6), the graph cuts the (x)-axis at those (x)-values. So the points are ((1,0)) and ((-6,0)).

Step 2

Why this answer is correct

The correct answer is A. जो (x)-अक्ष को ((1,0)) और ((-6,0)) पर काटे / One that cuts the (x)-axis at ((1,0)) and ((-6,0)). If the zeroes are (1) and (-6), the graph cuts the (x)-axis at those (x)-values. So the points are ((1,0)) and ((-6,0)).

Step 3

Exam Tip

शून्यक (1) और (-6) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((1,0)) और ((-6,0)) होंगे।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि ग्राफ (x)-अक्ष को (x=2) और (x=9) पर काटता है, तो (p(2)) और (p(9)) के मान क्या होंगे?

If a graph cuts the (x)-axis at (x=2) and (x=9), what will be the values of (p(2)) and (p(9))?

Explanation opens after your attempt

Correct Answer

A. दोनों (0)Both (0)

Step 1

Concept

On the (x)-axis, (y=0). Therefore the polynomial value at both these (x)-values is (0).

Step 2

Why this answer is correct

The correct answer is A. दोनों (0) / Both (0). On the (x)-axis, (y=0). Therefore the polynomial value at both these (x)-values is (0).

Step 3

Exam Tip

(x)-अक्ष पर (y=0) होता है। इसलिए इन दोनों (x)-मानों पर बहुपद का मान (0) होगा।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि परवलय (x)-अक्ष को ((-5,0)) और ((2,0)) पर काटता है, तो शून्यक कौन-से होंगे?

If a parabola cuts the (x)-axis at ((-5,0)) and ((2,0)), what will be the zeroes?

Explanation opens after your attempt

Correct Answer

A. (-5) और (2)(-5) and (2)

Step 1

Concept

Zeroes are the (x)-coordinates of the intersection points. Hence the zeroes are (-5) and (2).

Step 2

Why this answer is correct

The correct answer is A. (-5) और (2) / (-5) and (2). Zeroes are the (x)-coordinates of the intersection points. Hence the zeroes are (-5) and (2).

Step 3

Exam Tip

शून्यक कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-5) और (2) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि ग्राफ (x)-अक्ष को ((-4,0)) और ((1,0)) पर काटता है, तो शून्यक कौन-से हैं?

If a graph cuts the (x)-axis at ((-4,0)) and ((1,0)), what are the zeroes?

Explanation opens after your attempt

Correct Answer

A. (-4) और (1)(-4) and (1)

Step 1

Concept

Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).

Step 2

Why this answer is correct

The correct answer is A. (-4) और (1) / (-4) and (1). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).

Step 3

Exam Tip

शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-4) और (1) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को ((r,0)) और ((s,0)) पर काटता है, जहाँ \(r\neq s\), तो शून्यक क्या होंगे?

If a graph cuts the (x)-axis at ((r,0)) and ((s,0)), where \(r\neq s\), what are the zeroes?

Explanation opens after your attempt

Correct Answer

A. (r) और (s)(r) and (s)

Step 1

Concept

Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).

Step 2

Why this answer is correct

The correct answer is A. (r) और (s) / (r) and (s). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).

Step 3

Exam Tip

शून्यक (x)-अक्ष के कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (r) और (s) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

बहुपद के शून्यकों को ग्राफ में किस नाम से भी समझा जा सकता है?

By what name can the zeroes of a polynomial also be understood on a graph?

Explanation opens after your attempt

Correct Answer

A. (x)-अवरोध(x)-intercepts

Step 1

Concept

Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.

Step 2

Why this answer is correct

The correct answer is A. (x)-अवरोध / (x)-intercepts. Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.

Step 3

Exam Tip

शून्यक वही (x)-मान हैं जहाँ ग्राफ (x)-अक्ष को काटता या छूता है। इसलिए इन्हें (x)-अवरोध से जोड़ा जाता है।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि परवलय (x)-अक्ष को ((-1,0)) और ((5,0)) पर काटता है, तो वास्तविक शून्यकों की संख्या क्या है?

If a parabola cuts the (x)-axis at ((-1,0)) and ((5,0)), how many real zeroes are there?

Explanation opens after your attempt

Correct Answer

A. दोTwo

Step 1

Concept

Two distinct (x)-axis intersections show two real zeroes. Here the zeroes are (-1) and (5).

Step 2

Why this answer is correct

The correct answer is A. दो / Two. Two distinct (x)-axis intersections show two real zeroes. Here the zeroes are (-1) and (5).

Step 3

Exam Tip

दो अलग-अलग (x)-अक्ष कटाव दो वास्तविक शून्यक बताते हैं। यहाँ शून्यक (-1) और (5) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किस ग्राफ से शून्यक (-3) और (2) मिलेंगे?

Which graph will give zeroes (-3) and (2)?

Explanation opens after your attempt

Correct Answer

A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटेOne that cuts the (x)-axis at ((-3,0)) and ((2,0))

Step 1

Concept

If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).

Step 2

Why this answer is correct

The correct answer is A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0)). If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).

Step 3

Exam Tip

शून्यक (-3) और (2) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((-3,0)) और ((2,0)) होंगे।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी द्विघात बहुपद का ग्राफ (x)-अक्ष को ((2,0)) और ((7,0)) पर काटता है, तो शून्यक कौन-से हैं?

If the graph of a quadratic polynomial cuts the (x)-axis at ((2,0)) and ((7,0)), what are the zeroes?

Explanation opens after your attempt

Correct Answer

A. (2) और (7)(2) and (7)

Step 1

Concept

Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).

Step 2

Why this answer is correct

The correct answer is A. (2) और (7) / (2) and (7). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).

Step 3

Exam Tip

शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (2) और (7) हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी ग्राफ के (x)-अक्ष से मिलने वाले बिंदु ((1,0)), ((2,0)), और ((5,0)) हैं, तो शून्यकों की संख्या क्या है?

If the points where a graph meets the (x)-axis are ((1,0)), ((2,0)), and ((5,0)), how many zeroes are there?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.

Step 2

Why this answer is correct

The correct answer is A. (3). Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.

Step 3

Exam Tip

हर अलग (x)-अक्ष कटाव एक शून्यक देता है। यहाँ तीन अलग बिंदु हैं, इसलिए तीन शून्यक हैं।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को ((-2,0)) और ((4,0)) पर काटता है, तो बहुपद के शून्यक कौन-से हैं?

If a graph cuts the (x)-axis at ((-2,0)) and ((4,0)), what are the zeroes of the polynomial?

Explanation opens after your attempt

Correct Answer

A. (-2) और (4)(-2) and (4)

Step 1

Concept

Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).

Step 2

Why this answer is correct

The correct answer is A. (-2) और (4) / (-2) and (4). Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).

Step 3

Exam Tip

शून्यक हमेशा (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-2) और (4) हैं।

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