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intercepts MCQ Questions for Class 10

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51 questions tagged with intercepts.

Question 1/51 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 2/51 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 3/51 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 4/51 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 5/51 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 6/51 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 7/51 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 8/51 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 9/51 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 10/51 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 11/51 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 12/51 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 13/51 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 14/51 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 15/51 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 16/51 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 17/51 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 18/51 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 19/51 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 20/51 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 21/51 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 22/51 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 23/51 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 24/51 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 25/51 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 26/51 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 27/51 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 28/51 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 29/51 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 30/51 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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