Concept-wise Practice

substitution MCQ Questions for Class 10

substitution se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

419 questions tagged with substitution.

यदि (3x+ay=22) और (x+y=7) का ग्राफीय हल (\left\(4,3\right\)) है, तो (a) कितना होगा?

If the graphical solution of (3x+ay=22) and (x+y=7) is (\left\(4,3\right\)), what is (a)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{10}{3}\)

Step 1

Concept

Putting (\left\(4,3\right\)) in (3x+ay=22) gives (12+3a=22). Thus \(a=\frac{10}{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{10}{3}\). Putting (\left\(4,3\right\)) in (3x+ay=22) gives (12+3a=22). Thus \(a=\frac{10}{3}\).

Step 3

Exam Tip

(3x+ay=22) में (\left\(4,3\right\)) रखने पर (12+3a=22)। इससे \(a=\frac{10}{3}\) मिलता है।

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रेखा (5x+y=21) के लिए कौन-सी मान-सारणी सही है?

Which value table is correct for the line (5x+y=21)?

Explanation opens after your attempt
Correct Answer

A. (x=2,\ y=11) और (x=4,\ y=1)(x=2,\ y=11) and (x=4,\ y=1)

Step 1

Concept

At (x=2), (y=11), and at (x=4), (y=1). Every point in the value table must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=11) और (x=4,\ y=1) / (x=2,\ y=11) and (x=4,\ y=1). At (x=2), (y=11), and at (x=4), (y=1). Every point in the value table must satisfy the equation.

Step 3

Exam Tip

(x=2) पर (y=11) और (x=4) पर (y=1)। मान-सारणी का हर बिंदु समीकरण को संतुष्ट करना चाहिए।

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रेखाएँ (6x-y=19) और (x+3y=22) कहाँ मिलती हैं?

Where do the lines (6x-y=19) and (x+3y=22) meet?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(\frac{79}{19},\frac{113}{19}\right\))Point (\left\(\frac{79}{19},\frac{113}{19}\right\))

Step 1

Concept

Using (y=6x-19) from the first equation gives \(x=\frac{79}{19}\). Then \(y=\frac{113}{19}\).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(\frac{79}{19},\frac{113}{19}\right\)) / Point (\left\(\frac{79}{19},\frac{113}{19}\right\)). Using (y=6x-19) from the first equation gives \(x=\frac{79}{19}\). Then \(y=\frac{113}{19}\).

Step 3

Exam Tip

पहले समीकरण से (y=6x-19) रखकर \(x=\frac{79}{19}\) मिलता है। फिर \(y=\frac{113}{19}\) है।

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समीकरण (4x-y=9) और (2x+3y=23) का ग्राफीय हल कौन-सा है?

Which is the graphical solution of (4x-y=9) and (2x+3y=23)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(\frac{25}{7},\frac{37}{7}\right\))Point (\left\(\frac{25}{7},\frac{37}{7}\right\))

Step 1

Concept

Using (y=4x-9) from (4x-y=9) gives \(x=\frac{25}{7}\). Then \(y=\frac{37}{7}\).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(\frac{25}{7},\frac{37}{7}\right\)) / Point (\left\(\frac{25}{7},\frac{37}{7}\right\)). Using (y=4x-9) from (4x-y=9) gives \(x=\frac{25}{7}\). Then \(y=\frac{37}{7}\).

Step 3

Exam Tip

(4x-y=9) से (y=4x-9) रखकर \(x=\frac{25}{7}\) मिलता है। फिर \(y=\frac{37}{7}\) है।

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यदि दो रेखाएँ (x+ay=10) और (2x-y=5) बिंदु (\left\(3,1\right\)) पर मिलती हैं, तो (a) का मान क्या है?

If two lines (x+ay=10) and (2x-y=5) meet at (\left\(3,1\right\)), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

Putting (\left\(3,1\right\)) in (x+ay=10) gives (3+a=10). Hence (a=7).

Step 2

Why this answer is correct

The correct answer is A. (7). Putting (\left\(3,1\right\)) in (x+ay=10) gives (3+a=10). Hence (a=7).

Step 3

Exam Tip

(\left\(3,1\right\)) को (x+ay=10) में रखने पर (3+a=10)। इसलिए (a=7)।

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यदि (2x+ay=16) और (x+y=7) का ग्राफीय हल (\left\(2,5\right\)) है, तो (a) कितना होगा?

If the graphical solution of (2x+ay=16) and (x+y=7) is (\left\(2,5\right\)), what is (a)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{12}{5}\)

Step 1

Concept

Putting (\left\(2,5\right\)) in (2x+ay=16) gives (4+5a=16). Thus \(a=\frac{12}{5}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{12}{5}\). Putting (\left\(2,5\right\)) in (2x+ay=16) gives (4+5a=16). Thus \(a=\frac{12}{5}\).

Step 3

Exam Tip

(2x+ay=16) में (\left\(2,5\right\)) रखने पर (4+5a=16)। इससे \(a=\frac{12}{5}\) मिलता है।

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रेखा (4x+y=16) के लिए कौन-सी मान-सारणी सही है?

Which value table is correct for the line (4x+y=16)?

Explanation opens after your attempt
Correct Answer

A. (x=1,\ y=12) और (x=3,\ y=4)(x=1,\ y=12) and (x=3,\ y=4)

Step 1

Concept

At (x=1), (y=12), and at (x=3), (y=4). Every point in the value table must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. (x=1,\ y=12) और (x=3,\ y=4) / (x=1,\ y=12) and (x=3,\ y=4). At (x=1), (y=12), and at (x=3), (y=4). Every point in the value table must satisfy the equation.

Step 3

Exam Tip

(x=1) पर (y=12) और (x=3) पर (y=4)। मान-सारणी का हर बिंदु समीकरण को संतुष्ट करना चाहिए।

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रेखाएँ (5x-y=13) और (x+2y=16) कहाँ मिलती हैं?

Where do the lines (5x-y=13) and (x+2y=16) meet?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(\frac{42}{11},\frac{67}{11}\right\))Point (\left\(\frac{42}{11},\frac{67}{11}\right\))

Step 1

Concept

Using (y=5x-13) from the first equation gives \(x=\frac{42}{11}\). Then \(y=\frac{67}{11}\).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(\frac{42}{11},\frac{67}{11}\right\)) / Point (\left\(\frac{42}{11},\frac{67}{11}\right\)). Using (y=5x-13) from the first equation gives \(x=\frac{42}{11}\). Then \(y=\frac{67}{11}\).

Step 3

Exam Tip

पहले समीकरण से (y=5x-13) रखकर \(x=\frac{42}{11}\) मिलता है। फिर \(y=\frac{67}{11}\) है।

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समीकरण (3x-2y=4) और (x+5y=23) का ग्राफीय हल कौन-सा है?

Which is the graphical solution of (3x-2y=4) and (x+5y=23)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(\frac{65}{17},\frac{65}{17}\right\))Point (\left\(\frac{65}{17},\frac{65}{17}\right\))

Step 1

Concept

Using (x=23-5y) from (x+5y=23) gives \(y=\frac{65}{17}\). Then \(x=\frac{65}{17}\).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(\frac{65}{17},\frac{65}{17}\right\)) / Point (\left\(\frac{65}{17},\frac{65}{17}\right\)). Using (x=23-5y) from (x+5y=23) gives \(y=\frac{65}{17}\). Then \(x=\frac{65}{17}\).

Step 3

Exam Tip

(x+5y=23) से (x=23-5y) रखकर \(y=\frac{65}{17}\) मिलता है। फिर \(x=\frac{65}{17}\) है।

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रेखा (3x-y=5) के लिए कौन-सी मान-सारणी सही है?

Which value table is correct for the line (3x-y=5)?

Explanation opens after your attempt
Correct Answer

A. (x=2,\ y=1) और (x=4,\ y=7)(x=2,\ y=1) and (x=4,\ y=7)

Step 1

Concept

At (x=2), (6-y=5) gives (y=1), and at (x=4), (12-y=5) gives (y=7). Every table point must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=1) और (x=4,\ y=7) / (x=2,\ y=1) and (x=4,\ y=7). At (x=2), (6-y=5) gives (y=1), and at (x=4), (12-y=5) gives (y=7). Every table point must satisfy the equation.

Step 3

Exam Tip

(x=2) पर (6-y=5) से (y=1), और (x=4) पर (12-y=5) से (y=7)। मान-सारणी का हर बिंदु समीकरण को संतुष्ट करे।

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

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

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(\frac{18}{7},\frac{23}{7}\right\))Point (\left\(\frac{18}{7},\frac{23}{7}\right\))

Step 1

Concept

The first equation gives (x=2y-4). Substituting in (3x+y=11) gives \(y=\frac{23}{7}\) and \(x=\frac{18}{7}\).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(\frac{18}{7},\frac{23}{7}\right\)) / Point (\left\(\frac{18}{7},\frac{23}{7}\right\)). The first equation gives (x=2y-4). Substituting in (3x+y=11) gives \(y=\frac{23}{7}\) and \(x=\frac{18}{7}\).

Step 3

Exam Tip

पहले समीकरण से (x=2y-4) मिलता है। इसे (3x+y=11) में रखने पर \(y=\frac{23}{7}\) और \(x=\frac{18}{7}\) है।

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रेखा (3x-y=4) के लिए कौन-सी मान-सारणी सही है?

Which value table is correct for the line (3x-y=4)?

Explanation opens after your attempt
Correct Answer

A. (x=2,\ y=2) और (x=3,\ y=5)(x=2,\ y=2) and (x=3,\ y=5)

Step 1

Concept

At (x=2), (6-y=4) gives (y=2), and at (x=3), (9-y=4) gives (y=5). Every table point must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=2) और (x=3,\ y=5) / (x=2,\ y=2) and (x=3,\ y=5). At (x=2), (6-y=4) gives (y=2), and at (x=3), (9-y=4) gives (y=5). Every table point must satisfy the equation.

Step 3

Exam Tip

(x=2) पर (6-y=4) से (y=2), और (x=3) पर (9-y=4) से (y=5)। तालिका के हर बिंदु को समीकरण संतुष्ट करना चाहिए।

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रेखा (4x-5y=0) पर कौन-सा बिंदु स्थित है?

Which point lies on the line (4x-5y=0)?

Explanation opens after your attempt
Correct Answer

B. ( (5,4) )

Step 1

Concept

Substituting ( (5,4) ) gives (4(5)-5(4)=0). To check a point, substitute its coordinates in the equation.

Step 2

Why this answer is correct

The correct answer is B. ( (5,4) ). Substituting ( (5,4) ) gives (4(5)-5(4)=0). To check a point, substitute its coordinates in the equation.

Step 3

Exam Tip

( (5,4) ) रखने पर (4(5)-5(4)=0)। बिंदु जाँचने के लिए निर्देशांक समीकरण में रखें।

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रेखा (2x+3y=18) मूलबिंदु से क्यों नहीं गुजरती?

Why does the line (2x+3y=18) not pass through the origin?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (2(0)+3(0)\ne18)Because (2(0)+3(0)\ne18)

Step 1

Concept

Substituting the origin ( (0,0) ) gives left side (0), not (18). Check passing through origin by direct substitution.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (2(0)+3(0)\ne18) / Because (2(0)+3(0)\ne18). Substituting the origin ( (0,0) ) gives left side (0), not (18). Check passing through origin by direct substitution.

Step 3

Exam Tip

मूलबिंदु ( (0,0) ) रखने पर बायाँ पक्ष (0) आता है, (18) नहीं। मूलबिंदु से गुजरने की जाँच सीधे प्रतिस्थापन से करें।

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समीकरण (2x+y=11) और (x+y=8) का ग्राफीय हल कौन-सा है?

Which is the graphical solution of (2x+y=11) and (x+y=8)?

Explanation opens after your attempt
Correct Answer

B. ( (3,5) )

Step 1

Concept

At ( (3,5) ), (2(3)+5=11) and (3+5=8). Substituting options in both equations is a quick check.

Step 2

Why this answer is correct

The correct answer is B. ( (3,5) ). At ( (3,5) ), (2(3)+5=11) and (3+5=8). Substituting options in both equations is a quick check.

Step 3

Exam Tip

( (3,5) ) पर (2(3)+5=11) और (3+5=8)। विकल्पों को दोनों समीकरणों में रखना तेज जाँच है।

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रेखा (2x-y=3) के लिए कौन-सी मान-सारणी सही है?

Which value table is correct for the line (2x-y=3)?

Explanation opens after your attempt
Correct Answer

A. (x=2,\ y=1) और (x=3,\ y=3)(x=2,\ y=1) and (x=3,\ y=3)

Step 1

Concept

At (x=2), (4-y=3) gives (y=1), and at (x=3), (6-y=3) gives (y=3). Table points must satisfy the equation.

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=1) और (x=3,\ y=3) / (x=2,\ y=1) and (x=3,\ y=3). At (x=2), (4-y=3) gives (y=1), and at (x=3), (6-y=3) gives (y=3). Table points must satisfy the equation.

Step 3

Exam Tip

(x=2) पर (4-y=3) से (y=1), और (x=3) पर (6-y=3) से (y=3)। मान-सारणी के बिंदु समीकरण को संतुष्ट करने चाहिए।

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रेखा (5x-2y=0) पर कौन-सा बिंदु स्थित है?

Which point lies on the line (5x-2y=0)?

Explanation opens after your attempt
Correct Answer

A. ( (2,5) )

Step 1

Concept

Substituting ( (2,5) ) gives (5(2)-2(5)=0). Substituting options in the equation is a quick method.

Step 2

Why this answer is correct

The correct answer is A. ( (2,5) ). Substituting ( (2,5) ) gives (5(2)-2(5)=0). Substituting options in the equation is a quick method.

Step 3

Exam Tip

( (2,5) ) रखने पर (5(2)-2(5)=0)। विकल्पों को समीकरण में रखना तेज तरीका है।

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समीकरण (2x+3y=6) की रेखा मूलबिंदु से क्यों नहीं गुजरती?

Why does the line (2x+3y=6) not pass through the origin?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (2(0)+3(0)\ne6)Because (2(0)+3(0)\ne6)

Step 1

Concept

Substituting the origin ( (0,0) ) gives left side (0), not (6). Check whether a line passes through origin by substitution.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (2(0)+3(0)\ne6) / Because (2(0)+3(0)\ne6). Substituting the origin ( (0,0) ) gives left side (0), not (6). Check whether a line passes through origin by substitution.

Step 3

Exam Tip

मूलबिंदु ( (0,0) ) रखने पर बायाँ पक्ष (0) आता है, (6) नहीं। किसी रेखा के मूलबिंदु से गुजरने की जाँच substitution से करें।

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समीकरण (3x+y=17) और (x-y=3) का प्रतिच्छेद बिंदु कौन-सा है?

What is the intersection point of (3x+y=17) and (x-y=3)?

Explanation opens after your attempt
Correct Answer

B. ( (5,2) )

Step 1

Concept

( (5,2) ) satisfies both equations. In exams, quickly check options by substituting them in both equations.

Step 2

Why this answer is correct

The correct answer is B. ( (5,2) ). ( (5,2) ) satisfies both equations. In exams, quickly check options by substituting them in both equations.

Step 3

Exam Tip

( (5,2) ) दोनों समीकरणों को संतुष्ट करता है। परीक्षा में विकल्पों को दोनों समीकरणों में रखकर जल्दी जाँचें।

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रेखाएँ (x+2y=8) और (2x-y=1) किस बिंदु पर प्रतिच्छेद करेंगी?

At which point will the lines (x+2y=8) and (2x-y=1) intersect?

Explanation opens after your attempt
Correct Answer

C. ( (2,3) )

Step 1

Concept

Substituting ( (2,3) ) makes both equations true. While checking options substitute each point in both equations.

Step 2

Why this answer is correct

The correct answer is C. ( (2,3) ). Substituting ( (2,3) ) makes both equations true. While checking options substitute each point in both equations.

Step 3

Exam Tip

( (2,3) ) रखने पर दोनों समीकरण सत्य होते हैं। विकल्प जाँचते समय हर बिंदु को दोनों समीकरणों में रखें।

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रेखा (3x-4y=0) पर कौन-सा बिंदु स्थित है?

Which point lies on the line (3x-4y=0)?

Explanation opens after your attempt
Correct Answer

B. ( (4,3) )

Step 1

Concept

Substituting ( (4,3) ) gives (3(4)-4(3)=0). Substituting options in the equation is the fastest method.

Step 2

Why this answer is correct

The correct answer is B. ( (4,3) ). Substituting ( (4,3) ) gives (3(4)-4(3)=0). Substituting options in the equation is the fastest method.

Step 3

Exam Tip

( (4,3) ) रखने पर (3(4)-4(3)=0)। विकल्पों को समीकरण में रखना सबसे तेज तरीका है।

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रेखा (5x+y=26) पर (y=1) रखने पर कौन-सा बिंदु मिलेगा?

For the line (5x+y=26), which point is obtained when (y=1)?

Explanation opens after your attempt
Correct Answer

A. ( (5,1) )

Step 1

Concept

From (5x+1=26), (5x=25) and (x=5). Therefore, the point is ( (5,1) ).

Step 2

Why this answer is correct

The correct answer is A. ( (5,1) ). From (5x+1=26), (5x=25) and (x=5). Therefore, the point is ( (5,1) ).

Step 3

Exam Tip

(5x+1=26) से (5x=25) और (x=5)। इसलिए बिंदु ( (5,1) ) है।

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समीकरण (3x-y=2) के लिए कौन-सा बिंदु रेखा पर है?

Which point lies on the line (3x-y=2)?

Explanation opens after your attempt
Correct Answer

C. ( (3,7) )

Step 1

Concept

Substituting ( (3,7) ) gives (3(3)-7=2). The correct point is the one that satisfies the equation.

Step 2

Why this answer is correct

The correct answer is C. ( (3,7) ). Substituting ( (3,7) ) gives (3(3)-7=2). The correct point is the one that satisfies the equation.

Step 3

Exam Tip

( (3,7) ) रखने पर (3(3)-7=2)। सही बिंदु वही है जो समीकरण को संतुष्ट करे।

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

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

Explanation opens after your attempt
Correct Answer

B. ( (2,7) )

Step 1

Concept

Putting (x=2) gives (y=2+5=7), so ( (2,7) ) is correct. Substitute values to check a point on a line.

Step 2

Why this answer is correct

The correct answer is B. ( (2,7) ). Putting (x=2) gives (y=2+5=7), so ( (2,7) ) is correct. Substitute values to check a point on a line.

Step 3

Exam Tip

(x=2) रखने पर (y=2+5=7), इसलिए ( (2,7) ) सही है। रेखा पर बिंदु जाँचने के लिए मान रखें।

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समीकरण (2x+y=14) में (x=3) रखने पर (y) का मान क्या होगा?

In (2x+y=14), what is the value of (y) when (x=3)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

From (2(3)+y=14), we get (y=8). Choosing simple values is useful while making a table.

Step 2

Why this answer is correct

The correct answer is B. (8). From (2(3)+y=14), we get (y=8). Choosing simple values is useful while making a table.

Step 3

Exam Tip

(2(3)+y=14) से (y=8) मिलता है। तालिका बनाते समय सरल मान चुनना उपयोगी होता है।

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रेखा (2x-3y=0) पर कौन-सा बिंदु स्थित है?

Which point lies on the line (2x-3y=0)?

Explanation opens after your attempt
Correct Answer

B. ( (3,2) )

Step 1

Concept

Substituting ( (3,2) ) gives (2(3)-3(2)=0). Checking options by substitution is the fastest method.

Step 2

Why this answer is correct

The correct answer is B. ( (3,2) ). Substituting ( (3,2) ) gives (2(3)-3(2)=0). Checking options by substitution is the fastest method.

Step 3

Exam Tip

( (3,2) ) रखने पर (2(3)-3(2)=0)। विकल्पों में बिंदु जाँचना सबसे तेज तरीका है।

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रेखा (4x+y=17) पर (y=1) रखने पर कौन-सा बिंदु मिलेगा?

For the line (4x+y=17), which point is obtained when (y=1)?

Explanation opens after your attempt
Correct Answer

A. ( (4,1) )

Step 1

Concept

From (4x+1=17), (4x=16) and (x=4). Therefore, the point is ( (4,1) ).

Step 2

Why this answer is correct

The correct answer is A. ( (4,1) ). From (4x+1=17), (4x=16) and (x=4). Therefore, the point is ( (4,1) ).

Step 3

Exam Tip

(4x+1=17) से (4x=16) और (x=4)। इसलिए बिंदु ( (4,1) ) है।

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समीकरण (2x-y=1) के लिए कौन-सा बिंदु रेखा पर है?

Which point lies on the line (2x-y=1)?

Explanation opens after your attempt
Correct Answer

C. ( (3,5) )

Step 1

Concept

Substituting ( (3,5) ) gives (2(3)-5=1). The correct point is the one that satisfies the equation.

Step 2

Why this answer is correct

The correct answer is C. ( (3,5) ). Substituting ( (3,5) ) gives (2(3)-5=1). The correct point is the one that satisfies the equation.

Step 3

Exam Tip

( (3,5) ) रखने पर (2(3)-5=1)। सही बिंदु वही है जो समीकरण को संतुष्ट करे।

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समीकरण (y=x+4) पर कौन-सा बिंदु स्थित है?

Which point lies on the equation (y=x+4)?

Explanation opens after your attempt
Correct Answer

B. ( (3,7) )

Step 1

Concept

Putting (x=3) gives (y=3+4=7), so ( (3,7) ) is correct. To check a point on a line, substitute the value of (x).

Step 2

Why this answer is correct

The correct answer is B. ( (3,7) ). Putting (x=3) gives (y=3+4=7), so ( (3,7) ) is correct. To check a point on a line, substitute the value of (x).

Step 3

Exam Tip

(x=3) रखने पर (y=3+4=7), इसलिए ( (3,7) ) सही है। रेखा पर बिंदु जाँचने के लिए (x) का मान रखें।

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समीकरण (2x+y=10) में (x=1) रखने पर (y) का मान क्या होगा?

In (2x+y=10), what is the value of (y) when (x=1)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

From (2(1)+y=10), we get (y=8). Small substituted values help find graph points quickly.

Step 2

Why this answer is correct

The correct answer is B. (8). From (2(1)+y=10), we get (y=8). Small substituted values help find graph points quickly.

Step 3

Exam Tip

(2(1)+y=10) से (y=8) मिलता है। छोटे मान रखकर ग्राफ के बिंदु जल्दी निकाले जा सकते हैं।

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