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Class 10 Mathematics Pair Of Linear Equations In Two Vari...

Question 1/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में दो रेखाओं के प्रतिच्छेद बिंदु का क्या अर्थ होता है?

In graphical method, what does the point of intersection of two lines represent?

Explanation opens after your attempt

Correct Answer

A. दोनों समीकरणों का हलSolution of both equations

Step 1

Concept

The point where both lines meet gives the pair (x,y) satisfying both equations. In exams, always treat the intersection point as the solution.

Step 2

Why this answer is correct

The correct answer is A. दोनों समीकरणों का हल / Solution of both equations. The point where both lines meet gives the pair (x,y) satisfying both equations. In exams, always treat the intersection point as the solution.

Step 3

Exam Tip

जहाँ दोनों रेखाएँ मिलती हैं वही युग्म (x,y) दोनों समीकरणों को संतुष्ट करता है। परीक्षा में प्रतिच्छेद बिंदु को हमेशा हल मानें।

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Question 2/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाएँ ग्राफ पर केवल एक बिंदु पर मिलती हैं, तो हलों की संख्या क्या होगी?

If two lines meet at exactly one point on the graph, how many solutions are there?

Explanation opens after your attempt

Correct Answer

A. (1) अद्वितीय हल(1) unique solution

Step 1

Concept

One intersection point means the equations have exactly one solution. Remember, intersecting lines are consistent and independent.

Step 2

Why this answer is correct

The correct answer is A. (1) अद्वितीय हल / (1) unique solution. One intersection point means the equations have exactly one solution. Remember, intersecting lines are consistent and independent.

Step 3

Exam Tip

एक प्रतिच्छेद बिंदु होने पर समीकरणों का एक ही हल होता है। याद रखें, कटती हुई रेखाएँ संगत और स्वतंत्र होती हैं।

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Question 3/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाएँ समांतर हों और कभी न मिलें, तो समीकरण युग्म का हल क्या होगा?

If two lines are parallel and never meet, what is the solution of the pair of equations?

Explanation opens after your attempt

Correct Answer

A. कोई हल नहींNo solution

Step 1

Concept

Distinct parallel lines never intersect, so there is no common point. In exams, such lines are inconsistent.

Step 2

Why this answer is correct

The correct answer is A. कोई हल नहीं / No solution. Distinct parallel lines never intersect, so there is no common point. In exams, such lines are inconsistent.

Step 3

Exam Tip

समांतर अलग-अलग रेखाएँ कभी प्रतिच्छेद नहीं करतीं, इसलिए कोई सामान्य बिंदु नहीं होता। परीक्षा में ऐसी रेखाओं को असंगत मानें।

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Question 4/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाएँ ग्राफ पर एक-दूसरे पर ही स्थित हों, तो हलों की संख्या क्या होगी?

If two lines coincide on the graph, how many solutions will the pair have?

Explanation opens after your attempt

Correct Answer

A. अनंत हलInfinitely many solutions

Step 1

Concept

Every point on coincident lines satisfies both equations. In exams, call this a consistent and dependent case.

Step 2

Why this answer is correct

The correct answer is A. अनंत हल / Infinitely many solutions. Every point on coincident lines satisfies both equations. In exams, call this a consistent and dependent case.

Step 3

Exam Tip

संपाती रेखाओं के सभी बिंदु दोनों समीकरणों को संतुष्ट करते हैं। परीक्षा में इसे संगत और आश्रित स्थिति कहें।

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Question 5/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=5) के लिए कौन-सा बिंदु रेखा पर स्थित है?

Which point lies on the line (x+y=5)?

Explanation opens after your attempt

Correct Answer

A. ( (2,3) )

Step 1

Concept

For ( (2,3) ), (2+3=5), so it lies on the line. While checking options, substitute (x) and (y) in the equation.

Step 2

Why this answer is correct

The correct answer is A. ( (2,3) ). For ( (2,3) ), (2+3=5), so it lies on the line. While checking options, substitute (x) and (y) in the equation.

Step 3

Exam Tip

बिंदु ( (2,3) ) पर (2+3=5), इसलिए यह रेखा पर है। विकल्प जाँचते समय (x) और (y) को समीकरण में रखें।

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Question 6/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x-y=1) के लिए कौन-सा बिंदु सही है?

Which point is correct for the equation (x-y=1)?

Explanation opens after your attempt

Correct Answer

A. ( (3,2) )

Step 1

Concept

In ( (3,2) ), (3-2=1), so it lies on the line. The easy method is to test each option in the equation.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ). In ( (3,2) ), (3-2=1), so it lies on the line. The easy method is to test each option in the equation.

Step 3

Exam Tip

बिंदु ( (3,2) ) में (3-2=1), इसलिए यह रेखा पर है। सरल तरीका है कि हर विकल्प को समीकरण में रखकर जाँचें।

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Question 7/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (2x+y=6) पर (x=0) रखने पर (y) का मान क्या होगा?

For the line (2x+y=6), what is the value of (y) when (x=0)?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

Putting (x=0) gives (2(0)+y=6), so (y=6). For drawing a graph, first find such easy values.

Step 2

Why this answer is correct

The correct answer is A. (6). Putting (x=0) gives (2(0)+y=6), so (y=6). For drawing a graph, first find such easy values.

Step 3

Exam Tip

(x=0) रखने पर (2(0)+y=6), इसलिए (y=6)। ग्राफ बनाने के लिए ऐसे आसान मान पहले निकालें।

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Question 8/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (x+2y=8) पर (y=0) रखने पर (x) का मान क्या होगा?

For the line (x+2y=8), what is the value of (x) when (y=0)?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

Putting (y=0) gives (x+2(0)=8), so (x=8). Finding intercepts helps in drawing the graph.

Step 2

Why this answer is correct

The correct answer is A. (8). Putting (y=0) gives (x+2(0)=8), so (x=8). Finding intercepts helps in drawing the graph.

Step 3

Exam Tip

(y=0) रखने पर (x+2(0)=8), इसलिए (x=8)। अक्ष-अवरोध निकालना ग्राफ बनाने में सहायक होता है।

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Question 9/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

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

What is the graphical solution of (x+y=4) and (x-y=2)?

Explanation opens after your attempt

Correct Answer

A. ( (3,1) )

Step 1

Concept

The point ( (3,1) ) satisfies both (3+1=4) and (3-1=2). On the graph, this will be the intersection point.

Step 2

Why this answer is correct

The correct answer is A. ( (3,1) ). The point ( (3,1) ) satisfies both (3+1=4) and (3-1=2). On the graph, this will be the intersection point.

Step 3

Exam Tip

( (3,1) ) दोनों समीकरणों (3+1=4) और (3-1=2) को संतुष्ट करता है। ग्राफ पर यही दोनों रेखाओं का प्रतिच्छेद होगा।

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Question 10/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=6) और (x-y=0) की रेखाएँ किस बिंदु पर मिलेंगी?

At which point will the lines (x+y=6) and (x-y=0) meet?

Explanation opens after your attempt

Correct Answer

A. ( (3,3) )

Step 1

Concept

At ( (3,3) ), (3+3=6) and (3-3=0). The graphical solution is the point lying on both lines.

Step 2

Why this answer is correct

The correct answer is A. ( (3,3) ). At ( (3,3) ), (3+3=6) and (3-3=0). The graphical solution is the point lying on both lines.

Step 3

Exam Tip

( (3,3) ) में (3+3=6) और (3-3=0)। ग्राफीय हल वही बिंदु है जो दोनों रेखाओं पर हो।

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Question 11/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाओं का प्रतिच्छेद बिंदु ( (2,4) ) है, तो समीकरण युग्म का हल क्या होगा?

If the point of intersection of two lines is ( (2,4) ), what is the solution of the pair of equations?

Explanation opens after your attempt

Correct Answer

A. (x=2,\ y=4)

Step 1

Concept

The coordinates of the intersection point are the values of (x) and (y). Therefore, the solution is (x=2,\ y=4).

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=4). The coordinates of the intersection point are the values of (x) and (y). Therefore, the solution is (x=2,\ y=4).

Step 3

Exam Tip

प्रतिच्छेद बिंदु के निर्देशांक ही (x) और (y) के मान होते हैं। इसलिए हल (x=2,\ y=4) है।

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Question 12/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (y=2x) के लिए कौन-सा बिंदु सही है?

Which point is correct for the equation (y=2x)?

Explanation opens after your attempt

Correct Answer

A. ( (2,4) )

Step 1

Concept

For (x=2), (y=2(2)=4), so ( (2,4) ) is correct. To check a point on a line, substitute its values in the equation.

Step 2

Why this answer is correct

The correct answer is A. ( (2,4) ). For (x=2), (y=2(2)=4), so ( (2,4) ) is correct. To check a point on a line, substitute its values in the equation.

Step 3

Exam Tip

(x=2) पर (y=2(2)=4), इसलिए ( (2,4) ) सही है। रेखा पर बिंदु जाँचने के लिए समीकरण में मान रखें।

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Question 13/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (y=x+1) पर कौन-सा बिंदु स्थित है?

Which point lies on the equation (y=x+1)?

Explanation opens after your attempt

Correct Answer

A. ( (4,5) )

Step 1

Concept

Putting (x=4) gives (y=4+1=5), so ( (4,5) ) lies on the line. In such questions, check the options directly.

Step 2

Why this answer is correct

The correct answer is A. ( (4,5) ). Putting (x=4) gives (y=4+1=5), so ( (4,5) ) lies on the line. In such questions, check the options directly.

Step 3

Exam Tip

(x=4) रखने पर (y=4+1=5), इसलिए ( (4,5) ) रेखा पर है। ऐसे प्रश्नों में विकल्पों को सीधे जाँचें।

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Question 14/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (x=3) ग्राफ पर कैसी रेखा होती है?

What type of line is (x=3) on a graph?

Explanation opens after your attempt

Correct Answer

A. (y)-अक्ष के समांतर ऊर्ध्वाधर रेखाVertical line parallel to (y)-axis

Step 1

Concept

In (x=3), (x) is fixed and (y) can change. Such a line is parallel to the (y)-axis.

Step 2

Why this answer is correct

The correct answer is A. (y)-अक्ष के समांतर ऊर्ध्वाधर रेखा / Vertical line parallel to (y)-axis. In (x=3), (x) is fixed and (y) can change. Such a line is parallel to the (y)-axis.

Step 3

Exam Tip

(x=3) में (x) स्थिर रहता है और (y) बदल सकता है। ऐसी रेखा (y)-अक्ष के समांतर होती है।

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Question 15/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (y=2) ग्राफ पर कैसी रेखा होती है?

What type of line is (y=2) on a graph?

Explanation opens after your attempt

Correct Answer

A. (x)-अक्ष के समांतर क्षैतिज रेखाHorizontal line parallel to (x)-axis

Step 1

Concept

In (y=2), (y) is fixed and (x) can change. Hence, it is parallel to the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष के समांतर क्षैतिज रेखा / Horizontal line parallel to (x)-axis. In (y=2), (y) is fixed and (x) can change. Hence, it is parallel to the (x)-axis.

Step 3

Exam Tip

(y=2) में (y) स्थिर रहता है और (x) बदल सकता है। इसलिए यह (x)-अक्ष के समांतर रेखा है।

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Question 16/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि रेखा (x=4) और रेखा (y=5) मिलें, तो प्रतिच्छेद बिंदु क्या होगा?

If the line (x=4) and the line (y=5) meet, what is the intersection point?

Explanation opens after your attempt

Correct Answer

A. ( (4,5) )

Step 1

Concept

The line (x=4) has (x=4) for all its points and (y=5) has (y=5) for all its points. Their common point is ( (4,5) ).

Step 2

Why this answer is correct

The correct answer is A. ( (4,5) ). The line (x=4) has (x=4) for all its points and (y=5) has (y=5) for all its points. Their common point is ( (4,5) ).

Step 3

Exam Tip

रेखा (x=4) सभी बिंदुओं में (x=4) रखती है और (y=5) सभी बिंदुओं में (y=5) रखती है। दोनों का सामान्य बिंदु ( (4,5) ) है।

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Question 17/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=7) के लिए (x=2) होने पर (y) कितना होगा?

For (x+y=7), what is (y) when (x=2)?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

(2+y=7), so (y=5). For a graph, it is useful to find at least two points.

Step 2

Why this answer is correct

The correct answer is A. (5). (2+y=7), so (y=5). For a graph, it is useful to find at least two points.

Step 3

Exam Tip

(2+y=7), इसलिए (y=5)। ग्राफ के लिए कम से कम दो बिंदु निकालना उपयोगी होता है।

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Question 18/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (3x+y=9) के लिए (x=2) होने पर (y) का मान क्या है?

For (3x+y=9), what is the value of (y) when (x=2)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

(3(2)+y=9), so (6+y=9) and (y=3). While making a table, choose simple (x)-values.

Step 2

Why this answer is correct

The correct answer is A. (3). (3(2)+y=9), so (6+y=9) and (y=3). While making a table, choose simple (x)-values.

Step 3

Exam Tip

(3(2)+y=9), इसलिए (6+y=9) और (y=3)। तालिका बनाते समय ऐसे सरल (x) मान चुनें।

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Question 19/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (2x-y=4) के लिए (x=3) होने पर (y) क्या होगा?

For the line (2x-y=4), what is (y) when (x=3)?

Explanation opens after your attempt

Correct Answer

A. (2)

Step 1

Concept

(2(3)-y=4), so (6-y=4) and (y=2). Be careful with negative signs.

Step 2

Why this answer is correct

The correct answer is A. (2). (2(3)-y=4), so (6-y=4) and (y=2). Be careful with negative signs.

Step 3

Exam Tip

(2(3)-y=4), इसलिए (6-y=4) और (y=2)। ऋण चिह्न वाले पदों में सावधानी रखें।

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Question 20/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

दो रेखाओं के ग्राफ खींचने के लिए प्रत्येक रेखा के कम से कम कितने बिंदु चाहिए?

To draw the graph of each line, at least how many points are needed?

Explanation opens after your attempt

Correct Answer

A. (2) बिंदु(2) points

Step 1

Concept

At least (2) points are enough to draw a straight line. In exams, a third point may be used for checking.

Step 2

Why this answer is correct

The correct answer is A. (2) बिंदु / (2) points. At least (2) points are enough to draw a straight line. In exams, a third point may be used for checking.

Step 3

Exam Tip

एक सीधी रेखा खींचने के लिए कम से कम (2) बिंदु पर्याप्त होते हैं। परीक्षा में तीसरा बिंदु जाँच के लिए लिया जा सकता है।

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Question 21/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=3) का (y)-अवरोध क्या है?

What is the (y)-intercept of (x+y=3)?

Explanation opens after your attempt

Correct Answer

A. ( (0,3) )

Step 1

Concept

For the (y)-intercept, put (x=0), so (y=3). On the (y)-axis, the (x)-coordinate is (0).

Step 2

Why this answer is correct

The correct answer is A. ( (0,3) ). For the (y)-intercept, put (x=0), so (y=3). On the (y)-axis, the (x)-coordinate is (0).

Step 3

Exam Tip

(y)-अवरोध के लिए (x=0) रखते हैं, इसलिए (y=3)। ग्राफ में (y)-अक्ष पर बिंदु का (x)-निर्देशांक (0) होता है।

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Question 22/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=9) का (x)-अवरोध क्या है?

What is the (x)-intercept of (x+y=9)?

Explanation opens after your attempt

Correct Answer

A. ( (9,0) )

Step 1

Concept

For the (x)-intercept, put (y=0), so (x=9). On the (x)-axis, the (y)-coordinate is (0).

Step 2

Why this answer is correct

The correct answer is A. ( (9,0) ). For the (x)-intercept, put (y=0), so (x=9). On the (x)-axis, the (y)-coordinate is (0).

Step 3

Exam Tip

(x)-अवरोध के लिए (y=0) रखते हैं, इसलिए (x=9)। (x)-अक्ष पर बिंदु का (y)-निर्देशांक (0) होता है।

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Question 23/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (x+y=5) और (x+y=8) ग्राफ पर कैसी होंगी?

How will the lines (x+y=5) and (x+y=8) appear on the graph?

Explanation opens after your attempt

Correct Answer

A. समांतर रेखाएँParallel lines

Step 1

Concept

Both equations have the same coefficients of (x) and (y), but different constants. Therefore, the lines are parallel and inconsistent.

Step 2

Why this answer is correct

The correct answer is A. समांतर रेखाएँ / Parallel lines. Both equations have the same coefficients of (x) and (y), but different constants. Therefore, the lines are parallel and inconsistent.

Step 3

Exam Tip

दोनों समीकरणों में (x) और (y) के गुणांक समान हैं, पर नियतांक अलग हैं। इसलिए रेखाएँ समांतर और असंगत होंगी।

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Question 24/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (2x+2y=10) और (x+y=5) कैसी होंगी?

How will the lines (2x+2y=10) and (x+y=5) appear?

Explanation opens after your attempt

Correct Answer

A. संपाती रेखाएँCoincident lines

Step 1

Concept

Dividing the first equation by (2) gives (x+y=5). Both are the same line, so there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. संपाती रेखाएँ / Coincident lines. Dividing the first equation by (2) gives (x+y=5). Both are the same line, so there are infinitely many solutions.

Step 3

Exam Tip

पहला समीकरण (2) से भाग देने पर (x+y=5) बनता है। दोनों एक ही रेखा हैं, इसलिए अनंत हल होंगे।

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Question 25/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (x+y=4) और (x+2y=6) कैसी होंगी?

How will the lines (x+y=4) and (x+2y=6) appear?

Explanation opens after your attempt

Correct Answer

A. एक बिंदु पर कटेंगीThey will intersect at one point

Step 1

Concept

The two equations give different lines with unequal slopes. Hence, they will have one unique intersection point.

Step 2

Why this answer is correct

The correct answer is A. एक बिंदु पर कटेंगी / They will intersect at one point. The two equations give different lines with unequal slopes. Hence, they will have one unique intersection point.

Step 3

Exam Tip

दोनों समीकरण अलग-अलग रेखाएँ देते हैं जिनकी ढाल समान नहीं है। इसलिए उनका एक अद्वितीय प्रतिच्छेद बिंदु होगा।

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Question 26/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में यदि दो रेखाओं का कोई सामान्य बिंदु नहीं है, तो युग्म कैसा कहलाता है?

In graphical method, if two lines have no common point, what is the pair called?

Explanation opens after your attempt

Correct Answer

A. असंगतInconsistent

Step 1

Concept

No common point means no solution. Such a pair of equations is called inconsistent.

Step 2

Why this answer is correct

The correct answer is A. असंगत / Inconsistent. No common point means no solution. Such a pair of equations is called inconsistent.

Step 3

Exam Tip

सामान्य बिंदु न होने का अर्थ है कोई हल नहीं। ऐसा समीकरण युग्म असंगत कहलाता है।

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Question 27/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में यदि दो रेखाओं का एक सामान्य बिंदु है, तो युग्म कैसा होता है?

In graphical method, if two lines have one common point, what type of pair is it?

Explanation opens after your attempt

Correct Answer

A. संगत और स्वतंत्रConsistent and independent

Step 1

Concept

One common point gives a unique solution. Therefore, the pair is consistent and independent.

Step 2

Why this answer is correct

The correct answer is A. संगत और स्वतंत्र / Consistent and independent. One common point gives a unique solution. Therefore, the pair is consistent and independent.

Step 3

Exam Tip

एक सामान्य बिंदु एक अद्वितीय हल देता है। इसलिए युग्म संगत और स्वतंत्र होता है।

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Question 28/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में यदि दोनों रेखाएँ एक ही हों, तो युग्म कैसा होता है?

In graphical method, if both lines are the same, what type of pair is it?

Explanation opens after your attempt

Correct Answer

A. संगत और आश्रितConsistent and dependent

Step 1

Concept

The same line has infinitely many common points. Therefore, the pair is consistent and dependent.

Step 2

Why this answer is correct

The correct answer is A. संगत और आश्रित / Consistent and dependent. The same line has infinitely many common points. Therefore, the pair is consistent and dependent.

Step 3

Exam Tip

एक ही रेखा के अनंत सामान्य बिंदु होते हैं। इसलिए युग्म संगत और आश्रित होता है।

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Question 29/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=10) और (x-y=4) का हल कौन-सा है?

Which is the solution of (x+y=10) and (x-y=4)?

Explanation opens after your attempt

Correct Answer

A. ( (7,3) )

Step 1

Concept

Substituting ( (7,3) ) gives (7+3=10) and (7-3=4). On the graph, this is where both lines meet.

Step 2

Why this answer is correct

The correct answer is A. ( (7,3) ). Substituting ( (7,3) ) gives (7+3=10) and (7-3=4). On the graph, this is where both lines meet.

Step 3

Exam Tip

( (7,3) ) रखने पर (7+3=10) और (7-3=4)। ग्राफ पर यही दोनों रेखाओं का मिलन बिंदु होगा।

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Question 30/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (2x+y=7) और (x+y=5) का प्रतिच्छेद बिंदु कौन-सा है?

What is the intersection point of (2x+y=7) and (x+y=5)?

Explanation opens after your attempt

Correct Answer

A. ( (2,3) )

Step 1

Concept

At ( (2,3) ), (2(2)+3=7) and (2+3=5). Hence, it is the graphical solution.

Step 2

Why this answer is correct

The correct answer is A. ( (2,3) ). At ( (2,3) ), (2(2)+3=7) and (2+3=5). Hence, it is the graphical solution.

Step 3

Exam Tip

( (2,3) ) पर (2(2)+3=7) और (2+3=5)। इसलिए यही ग्राफीय हल है।

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Question 31/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+3y=9) और (x+y=5) का हल कौन-सा है?

Which is the solution of (x+3y=9) and (x+y=5)?

Explanation opens after your attempt

Correct Answer

A. ( (3,2) )

Step 1

Concept

Putting ( (3,2) ) gives (3+3(2)=9) and (3+2=5). If both equations are satisfied, the point is correct.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ). Putting ( (3,2) ) gives (3+3(2)=9) and (3+2=5). If both equations are satisfied, the point is correct.

Step 3

Exam Tip

( (3,2) ) रखने पर (3+3(2)=9) और (3+2=5)। दोनों समीकरण संतुष्ट हों तो बिंदु सही है।

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Question 32/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफ पर (x)-अक्ष और (y)-अक्ष का प्रतिच्छेद बिंदु क्या कहलाता है?

What is the point of intersection of the (x)-axis and (y)-axis called?

Explanation opens after your attempt

Correct Answer

A. मूलबिंदु ( (0,0) )Origin ( (0,0) )

Step 1

Concept

Both axes meet at ( (0,0) ). While reading a graph, it is easy to count coordinates from the origin.

Step 2

Why this answer is correct

The correct answer is A. मूलबिंदु ( (0,0) ) / Origin ( (0,0) ). Both axes meet at ( (0,0) ). While reading a graph, it is easy to count coordinates from the origin.

Step 3

Exam Tip

दोनों अक्ष ( (0,0) ) पर मिलते हैं। ग्राफ पढ़ते समय मूलबिंदु से निर्देशांक गिनना आसान होता है।

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Question 33/50 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 34/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

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

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

Explanation opens after your attempt

Correct Answer

A. ( (0,4) ) और ( (2,0) )

Step 1

Concept

At (x=0), (y=4), and at (y=0), (x=2). Choosing correct two points makes graph drawing faster.

Step 2

Why this answer is correct

The correct answer is A. ( (0,4) ) और ( (2,0) ). At (x=0), (y=4), and at (y=0), (x=2). Choosing correct two points makes graph drawing faster.

Step 3

Exam Tip

(x=0) पर (y=4) और (y=0) पर (x=2)। सही दो बिंदु चुनने से ग्राफ जल्दी बनता है।

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Question 35/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

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

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

Explanation opens after your attempt

Correct Answer

A. ( (4,2) )

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 36/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाएँ ( (1,2) ) पर मिलती हैं, तो (x) का मान क्या है?

If two lines meet at ( (1,2) ), what is the value of (x)?

Explanation opens after your attempt

Correct Answer

A. (1)

Step 1

Concept

In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).

Step 2

Why this answer is correct

The correct answer is A. (1). In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).

Step 3

Exam Tip

बिंदु ( (1,2) ) में पहला निर्देशांक (x) होता है। इसलिए (x=1)।

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Question 37/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

यदि दो रेखाएँ ( (5,2) ) पर कटती हैं, तो (y) का मान क्या होगा?

If two lines intersect at ( (5,2) ), what will be the value of (y)?

Explanation opens after your attempt

Correct Answer

A. (2)

Step 1

Concept

In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).

Step 2

Why this answer is correct

The correct answer is A. (2). In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).

Step 3

Exam Tip

बिंदु ( (5,2) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=2)।

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Question 38/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x=0) कौन-सी रेखा दर्शाता है?

Which line is represented by (x=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अक्ष(y)-axis

Step 1

Concept

All points with (x=0) lie on the (y)-axis. Therefore, it is the equation of the (y)-axis.

Step 2

Why this answer is correct

The correct answer is A. (y)-अक्ष / (y)-axis. All points with (x=0) lie on the (y)-axis. Therefore, it is the equation of the (y)-axis.

Step 3

Exam Tip

(x=0) वाले सभी बिंदु (y)-अक्ष पर होते हैं। इसलिए यह (y)-अक्ष का समीकरण है।

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Question 39/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (y=0) कौन-सी रेखा दर्शाता है?

Which line is represented by (y=0)?

Explanation opens after your attempt

Correct Answer

A. (x)-अक्ष(x)-axis

Step 1

Concept

All points with (y=0) lie on the (x)-axis. Therefore, it is the equation of the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष / (x)-axis. All points with (y=0) lie on the (x)-axis. Therefore, it is the equation of the (x)-axis.

Step 3

Exam Tip

(y=0) वाले सभी बिंदु (x)-अक्ष पर होते हैं। इसलिए यह (x)-अक्ष का समीकरण है।

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Question 40/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (x=2) और (x=5) ग्राफ पर कैसी होंगी?

How will the lines (x=2) and (x=5) appear on the graph?

Explanation opens after your attempt

Correct Answer

A. समांतर रेखाएँParallel lines

Step 1

Concept

Both lines are parallel to the (y)-axis and have different (x)-values. Therefore, they are parallel and will not meet.

Step 2

Why this answer is correct

The correct answer is A. समांतर रेखाएँ / Parallel lines. Both lines are parallel to the (y)-axis and have different (x)-values. Therefore, they are parallel and will not meet.

Step 3

Exam Tip

दोनों रेखाएँ (y)-अक्ष के समांतर हैं और अलग-अलग (x) मान रखती हैं। इसलिए वे समांतर हैं और नहीं मिलेंगी।

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Question 41/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (y=1) और (y=4) कैसी होंगी?

How will the lines (y=1) and (y=4) appear?

Explanation opens after your attempt

Correct Answer

A. समांतर रेखाएँParallel lines

Step 1

Concept

Both are horizontal lines with different (y)-values. Therefore, they are parallel.

Step 2

Why this answer is correct

The correct answer is A. समांतर रेखाएँ / Parallel lines. Both are horizontal lines with different (y)-values. Therefore, they are parallel.

Step 3

Exam Tip

दोनों क्षैतिज रेखाएँ हैं और अलग-अलग (y) मान रखती हैं। इसलिए वे समांतर हैं।

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Question 42/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखा (x+y=2) और रेखा (x-y=2) कहाँ मिलेंगी?

Where will the lines (x+y=2) and (x-y=2) meet?

Explanation opens after your attempt

Correct Answer

A. ( (2,0) )

Step 1

Concept

At ( (2,0) ), (2+0=2) and (2-0=2). Hence, this is the intersection of both lines.

Step 2

Why this answer is correct

The correct answer is A. ( (2,0) ). At ( (2,0) ), (2+0=2) and (2-0=2). Hence, this is the intersection of both lines.

Step 3

Exam Tip

( (2,0) ) पर (2+0=2) और (2-0=2)। अतः यही दोनों रेखाओं का प्रतिच्छेद है।

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Question 43/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (x+2y=4) और (x+2y=4) कैसी हैं?

What type of lines are (x+2y=4) and (x+2y=4)?

Explanation opens after your attempt

Correct Answer

A. संपाती रेखाएँCoincident lines

Step 1

Concept

Both equations are exactly the same, so they represent the same line. Such a pair has infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. संपाती रेखाएँ / Coincident lines. Both equations are exactly the same, so they represent the same line. Such a pair has infinitely many solutions.

Step 3

Exam Tip

दोनों समीकरण बिल्कुल समान हैं, इसलिए वे एक ही रेखा दर्शाते हैं। ऐसे युग्म के अनंत हल होते हैं।

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Question 44/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (4x+2y=8) को सरल करने पर कौन-सा समीकरण मिलता है?

Which equation is obtained by simplifying (4x+2y=8)?

Explanation opens after your attempt

Correct Answer

A. (2x+y=4)

Step 1

Concept

Dividing the whole equation by (2) gives (2x+y=4). Proportional equations can often give coincident lines.

Step 2

Why this answer is correct

The correct answer is A. (2x+y=4). Dividing the whole equation by (2) gives (2x+y=4). Proportional equations can often give coincident lines.

Step 3

Exam Tip

पूरे समीकरण को (2) से भाग देने पर (2x+y=4) मिलता है। समानुपाती समीकरण अक्सर संपाती रेखाएँ दे सकते हैं।

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Question 45/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में रेखा का सही ग्राफ बनाने के बाद हल कैसे पढ़ा जाता है?

In graphical method, after drawing the correct graph, how is the solution read?

Explanation opens after your attempt

Correct Answer

A. दोनों रेखाओं के प्रतिच्छेद के निर्देशांक सेFrom the coordinates of intersection

Step 1

Concept

The solution is obtained from the coordinates of the intersection point. Intercepts alone are not enough when a second line is given.

Step 2

Why this answer is correct

The correct answer is A. दोनों रेखाओं के प्रतिच्छेद के निर्देशांक से / From the coordinates of intersection. The solution is obtained from the coordinates of the intersection point. Intercepts alone are not enough when a second line is given.

Step 3

Exam Tip

हल प्रतिच्छेद बिंदु के निर्देशांकों से मिलता है। केवल अवरोध तब पर्याप्त नहीं जब दूसरी रेखा भी दी गई हो।

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Question 46/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+y=8) में (x=5) रखने पर कौन-सा बिंदु मिलेगा?

For (x+y=8), which point is obtained when (x=5)?

Explanation opens after your attempt

Correct Answer

A. ( (5,3) )

Step 1

Concept

(5+y=8), so (y=3) and the point is ( (5,3) ). Always write a point in ( (x,y) ) order.

Step 2

Why this answer is correct

The correct answer is A. ( (5,3) ). (5+y=8), so (y=3) and the point is ( (5,3) ). Always write a point in ( (x,y) ) order.

Step 3

Exam Tip

(5+y=8), इसलिए (y=3) और बिंदु ( (5,3) ) है। बिंदु हमेशा ( (x,y) ) क्रम में लिखें।

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Question 47/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x- y=3) में (y=1) रखने पर कौन-सा बिंदु मिलेगा?

For (x-y=3), which point is obtained when (y=1)?

Explanation opens after your attempt

Correct Answer

A. ( (4,1) )

Step 1

Concept

(x-1=3), so (x=4) and the point is ( (4,1) ). Changing the order can make the answer wrong.

Step 2

Why this answer is correct

The correct answer is A. ( (4,1) ). (x-1=3), so (x=4) and the point is ( (4,1) ). Changing the order can make the answer wrong.

Step 3

Exam Tip

(x-1=3), इसलिए (x=4) और बिंदु ( (4,1) ) है। क्रम बदलने से उत्तर गलत हो सकता है।

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Question 48/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (2x+3y=12) के लिए (x=0) रखने पर कौन-सा बिंदु मिलता है?

For (2x+3y=12), which point is obtained when (x=0)?

Explanation opens after your attempt

Correct Answer

A. ( (0,4) )

Step 1

Concept

(2(0)+3y=12), so (y=4) and the point is ( (0,4) ). This is also the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ( (0,4) ). (2(0)+3y=12), so (y=4) and the point is ( (0,4) ). This is also the (y)-intercept.

Step 3

Exam Tip

(2(0)+3y=12), इसलिए (y=4) और बिंदु ( (0,4) ) है। यह (y)-अवरोध भी है।

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Question 49/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (3x+2y=12) के लिए (y=0) रखने पर कौन-सा बिंदु मिलता है?

For (3x+2y=12), which point is obtained when (y=0)?

Explanation opens after your attempt

Correct Answer

A. ( (4,0) )

Step 1

Concept

(3x+2(0)=12), so (x=4) and the point is ( (4,0) ). This is called the (x)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ( (4,0) ). (3x+2(0)=12), so (x=4) and the point is ( (4,0) ). This is called the (x)-intercept.

Step 3

Exam Tip

(3x+2(0)=12), इसलिए (x=4) और बिंदु ( (4,0) ) है। यह (x)-अवरोध कहलाता है।

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Question 50/50 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

ग्राफीय विधि में कौन-सी गलती सबसे सामान्य है?

Which mistake is most common in graphical method?

Explanation opens after your attempt

Correct Answer

A. प्रतिच्छेद बिंदु के (x) और (y) निर्देशांक उलटे पढ़नाReading the (x) and (y) coordinates of intersection in reverse order

Step 1

Concept

The solution must be read in ( (x,y) ) order, and reversing it changes the answer. In exams, write the intersection point carefully.

Step 2

Why this answer is correct

The correct answer is A. प्रतिच्छेद बिंदु के (x) और (y) निर्देशांक उलटे पढ़ना / Reading the (x) and (y) coordinates of intersection in reverse order. The solution must be read in ( (x,y) ) order, and reversing it changes the answer. In exams, write the intersection point carefully.

Step 3

Exam Tip

हल को ( (x,y) ) क्रम में पढ़ना चाहिए, उल्टा पढ़ने पर उत्तर बदल जाता है। परीक्षा में प्रतिच्छेद बिंदु को ध्यान से लिखें।

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Mathematics Pair Of Linear Equations In Two Variables MCQ Questions for Class 10