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100 results found for "zero product intercepts" in Class 10.

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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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कौन सा बहुपद (x=0) को शून्य बनाता है लेकिन शून्य बहुपद नहीं है?

Which polynomial makes (x=0) a zero but is not the zero polynomial?

Explanation opens after your attempt
Correct Answer

B. \(4x^3-7x\)

Step 1

Concept

Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(4x^3-7x\). Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 3

Exam Tip

\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए।

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यदि (p(x)=2x-2+mx+18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=2x-2+mx+18) is (3), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 3

Exam Tip

गुणनफल \(\frac{18}{2}=9\) है। एक शून्यक (3) है, इसलिए दूसरा (3) होगा।

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यदि (p(x)=x-2+3x-18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2+3x-18) is (3), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. -(6)

Step 1

Concept

The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 2

Why this answer is correct

The correct answer is A. -(6). The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 3

Exam Tip

शून्यकों का गुणनफल (-18) है। एक शून्यक (3) है, इसलिए दूसरा \(-18\div3=-6\) है।

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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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यदि ((x-6)(x-13)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-6)(x-13)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=6,13)

Step 1

Concept

((x-6)=0) or ((x-13)=0), so (x=6) or (x=13). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=6,13). ((x-6)=0) or ((x-13)=0), so (x=6) or (x=13). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-6)=0) या ((x-13)=0), इसलिए (x=6) या (x=13) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-5)(x-11)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-5)(x-11)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=5,11)

Step 1

Concept

((x-5)=0) or ((x-11)=0), so (x=5) or (x=11). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=5,11). ((x-5)=0) or ((x-11)=0), so (x=5) or (x=11). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-5)=0) या ((x-11)=0), इसलिए (x=5) या (x=11) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-4)(x-9)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-4)(x-9)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=4,9)

Step 1

Concept

((x-4)=0) or ((x-9)=0), so (x=4) or (x=9). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=4,9). ((x-4)=0) or ((x-9)=0), so (x=4) or (x=9). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-4)=0) या ((x-9)=0), इसलिए (x=4) या (x=9) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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यदि ((x-3)(x-7)=0), तो शून्य गुणनफल नियम से हल क्या होंगे?

If ((x-3)(x-7)=0), what are the solutions by zero product rule?

Explanation opens after your attempt
Correct Answer

A. (x=3,7)

Step 1

Concept

((x-3)=0) or ((x-7)=0), so (x=3) or (x=7). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=3,7). ((x-3)=0) or ((x-7)=0), so (x=3) or (x=7). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-3)=0) या ((x-7)=0), इसलिए (x=3) या (x=7) है। परीक्षा में हर गुणनखंड को अलग शून्य रखें।

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शून्य गुणनफल नियम से ((x-9)(x+2)=0) के मूल क्या हैं?

Using zero product rule, what are the roots of ((x-9)(x+2)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=9,-2)

Step 1

Concept

((x-9)=0) or ((x+2)=0), so (x=9) or (x=-2). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=9,-2). ((x-9)=0) or ((x+2)=0), so (x=9) or (x=-2). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-9)=0) या ((x+2)=0), इसलिए (x=9) या (x=-2) है। परीक्षा में हर गुणनखंड को अलग-अलग शून्य रखें।

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शून्य गुणनफल नियम से ((x-7)(x+1)=0) के मूल क्या हैं?

Using zero product rule, what are the roots of ((x-7)(x+1)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=7,-1)

Step 1

Concept

((x-7)=0) or ((x+1)=0), so (x=7) or (x=-1). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=7,-1). ((x-7)=0) or ((x+1)=0), so (x=7) or (x=-1). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

((x-7)=0) या ((x+1)=0), इसलिए (x=7) या (x=-1) है। परीक्षा में हर गुणनखंड को अलग से शून्य रखें।

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शून्य गुणनफल नियम से (x(x-4)=0) के हल क्या हैं?

Using zero product rule, what are the solutions of (x(x-4)=0)?

Explanation opens after your attempt
Correct Answer

A. (x=0,4)

Step 1

Concept

If (x(x-4)=0), then (x=0) or (x-4=0). In exams, set each factor equal to zero separately.

Step 2

Why this answer is correct

The correct answer is A. (x=0,4). If (x(x-4)=0), then (x=0) or (x-4=0). In exams, set each factor equal to zero separately.

Step 3

Exam Tip

यदि (x(x-4)=0), तो (x=0) या (x-4=0) होगा। परीक्षा में हर गुणनखंड को अलग-अलग शून्य के बराबर रखें।

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यदि (p(x)=x-2-10x+r) का एक शून्यक (4) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2-10x+r) is (4), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 2

Why this answer is correct

The correct answer is A. (6). The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 3

Exam Tip

शून्यकों का योग (10) है। एक शून्यक (4) है, इसलिए दूसरा (10-4=6) है।

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यदि (p(x)=x-2-2x-2) का एक शून्यक \(1+\sqrt{3}\) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x-2-2x-2) is \(1+\sqrt{3}\), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. \(1-\sqrt{3}\)

Step 1

Concept

The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.

Step 2

Why this answer is correct

The correct answer is A. \(1-\sqrt{3}\). The sum of zeroes is (2), so the other zero is (2-\(1+\sqrt{3}\)=1-\sqrt{3}). With rational coefficients, the conjugate also appears.

Step 3

Exam Tip

शून्यकों का योग (2) है, इसलिए दूसरा शून्यक (2-\(1+\sqrt{3}\)=1-\sqrt{3}) है। परिमेय गुणांकों में संयुग्मी भी मिलता है।

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यदि परवलय का सममिति अक्ष (x=5) है और एक शून्यक (-1) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि परवलय का सममिति अक्ष (x=-2) है और एक शून्यक (5) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=-2) and one zero is (5), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।

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किसी परवलय का एक शून्यक (11) है और सममिति अक्ष (x=3) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (11) and axis of symmetry (x=3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=4) है और एक शून्यक (-2) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=4) and one zero is (-2). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।

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किसी परवलय का एक शून्यक (9) है और सममिति अक्ष (x=2) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (9) and axis of symmetry (x=2). What is the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=1) है और एक शून्यक (-5) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=1) and one zero is (-5). What will be the other zero?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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किसी परवलय का एक शून्यक (4) है और सममिति अक्ष (x=-1) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (4) and axis of symmetry (x=-1). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-6). The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (-1) है, इसलिए दूसरा शून्यक (-6) होगा। टिप: औसत को सममिति अक्ष के बराबर रखें।

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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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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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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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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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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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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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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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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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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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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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यदि (p(x)=x-2-2kx+5) का एक शून्यक \(\sqrt{5}\) है, तो दूसरा शून्यक और (k) क्या होंगे?

If one zero of (p(x)=x-2-2kx+5) is \(\sqrt{5}\), what will be the other zero and (k)?

Explanation opens after your attempt
Correct Answer

A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\)Other \(\sqrt{5}\), \(k=\sqrt{5}\)

Step 1

Concept

The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is A. दूसरा \(\sqrt{5}\), \(k=\sqrt{5}\) / Other \(\sqrt{5}\), \(k=\sqrt{5}\). The product is (5), so the other zero is \(\frac{5}{\sqrt{5}}=\sqrt{5}\). The sum is \(2\sqrt{5}=2k\), hence \(k=\sqrt{5}\).

Step 3

Exam Tip

गुणनफल (5) है, इसलिए दूसरा शून्यक \(\frac{5}{\sqrt{5}}=\sqrt{5}\) होगा। योग \(2\sqrt{5}=2k\), अतः \(k=\sqrt{5}\) है।

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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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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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कौन सा बहुपद (x=0) को शून्य बनाता है?

Which polynomial makes (x=0) a zero?

Explanation opens after your attempt
Correct Answer

B. \(3x^3-2x\)

Step 1

Concept

Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^3-2x\). Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 3

Exam Tip

(x=0) रखने पर \(3x^3-2x=0\) मिलता है। (x=0) को शून्य बनाने के लिए अचर पद (0) होना चाहिए।

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यदि \(x^2+mx+n\) का एक शून्यक (0) है और दूसरा शून्यक (5) है, तो (m+n) क्या होगा?

If one zero of \(x^2+mx+n\) is (0) and the other zero is (5), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 3

Exam Tip

योग (5) है इसलिए (m=-5), और गुणनफल (0) है इसलिए (n=0)। अतः (m+n=-5)।

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कौन सा बहुपद (x=0) को शून्य नहीं बनाता?

Which polynomial does not make (x=0) a zero?

Explanation opens after your attempt
Correct Answer

D. \(x^2+1\)

Step 1

Concept

On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 2

Why this answer is correct

The correct answer is D. \(x^2+1\). On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 3

Exam Tip

(x=0) रखने पर \(x^2+1=1\), इसलिए (0) इसका शून्य नहीं है। (x=0) पर अचर पद निर्णायक होता है।

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यदि किसी बहुपद का एक शून्यक \(\sqrt{11}\) है और गुणांक परिमेय हैं, तो कौन सा शून्यक भी होना चाहिए?

If one zero of a polynomial is \(\sqrt{11}\) and the coefficients are rational, which zero should also occur?

Explanation opens after your attempt
Correct Answer

A. -\(\sqrt{11}\)

Step 1

Concept

The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).

Step 2

Why this answer is correct

The correct answer is A. -\(\sqrt{11}\). The conjugate of \(\sqrt{11}=0+\sqrt{11}\) is \(-\sqrt{11}\). In exams also identify the case (a=0).

Step 3

Exam Tip

\(\sqrt{11}=0+\sqrt{11}\) का संयुग्मी \(-\sqrt{11}\) है। परीक्षा में (a=0) वाला संयुग्मी भी पहचानें।

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यदि \(2+\sqrt{3}\) एक बहुपद \(x^2-4x+1\) का शून्यक है, तो दूसरा शून्यक क्या होगा?

If \(2+\sqrt{3}\) is a zero of the polynomial \(x^2-4x+1\), what is the other zero?

Explanation opens after your attempt
Correct Answer

A. \(2-\sqrt{3}\)

Step 1

Concept

For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.

Step 2

Why this answer is correct

The correct answer is A. \(2-\sqrt{3}\). For a quadratic with rational coefficients, if \(a+\sqrt{b}\) is a zero then \(a-\sqrt{b}\) is also a zero. The conjugate-root rule is useful in exams.

Step 3

Exam Tip

परिमेय गुणांकों वाले द्विघात में \(a+\sqrt{b}\) के साथ \(a-\sqrt{b}\) भी शून्यक होता है। परीक्षा में संयुग्मी मूल का नियम उपयोगी है।

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किसी परवलय का एक शून्यक (-10) है और दूसरा शून्यक पहले से (18) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-10), and the other zero is (18) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-1)

Step 1

Concept

The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-1). The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (8) है और औसत \(\frac{-10+8}{2}=-1\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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किसी परवलय का एक शून्यक (-8) है और दूसरा शून्यक पहले से (12) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-8), and the other zero is (12) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-2)

Step 1

Concept

The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-2). The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (4) है और औसत \(\frac{-8+4}{2}=-2\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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किसी परवलय का सममिति अक्ष (x=2) है और एक शून्यक (-3) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=2) and one zero is (-3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 2

Why this answer is correct

The correct answer is A. (7). The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (2) होगा, इसलिए दूसरा शून्यक (7) है। टिप: परवलय में सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?

If (p(-3)=0), which value is a zero of the polynomial?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (-3). The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 3

Exam Tip

जिस (x)-मान पर (p(x)=0) हो वही शून्यक होता है। इसलिए (-3) बहुपद का शून्यक है।

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किसी बहुपद के ग्राफ पर शून्यक पहचानने के लिए कौन-सा मान शून्य होना चाहिए?

Which value must be zero to identify a zero on the graph of a polynomial?

Explanation opens after your attempt
Correct Answer

A. बहुपद का मानValue of the polynomial

Step 1

Concept

At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 2

Why this answer is correct

The correct answer is A. बहुपद का मान / Value of the polynomial. At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 3

Exam Tip

शून्यक पर बहुपद का मान (0) होता है। ग्राफ पढ़ते समय (y=0) वाले बिंदु देखें।

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(x-2-2(a-3)x+a-2-16=0) की जड़ों का गुणनफल (0) हो, तो (a) के मान क्या हैं?

If the product of roots of (x-2-2(a-3)x+a-2-16=0) is (0), what are the values of (a)?

Explanation opens after your attempt
Correct Answer

A. (4) और (-4)(4) and (-4)

Step 1

Concept

The product of roots is \(a^2-16\). Setting it equal to (0) gives \(a^2=16\), so (a=4) or (a=-4).

Step 2

Why this answer is correct

The correct answer is A. (4) और (-4) / (4) and (-4). The product of roots is \(a^2-16\). Setting it equal to (0) gives \(a^2=16\), so (a=4) or (a=-4).

Step 3

Exam Tip

जड़ों का गुणनफल \(a^2-16\) है। इसे (0) रखने पर \(a^2=16\), इसलिए (a=4) या (a=-4)।

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(x-2-2(a-2)x+a-2-9=0) की जड़ों का गुणनफल (0) हो, तो (a) के मान क्या हैं?

If the product of the roots of (x-2-2(a-2)x+a-2-9=0) is (0), what are the values of (a)?

Explanation opens after your attempt
Correct Answer

B. (3) और (-3)(3) and (-3)

Step 1

Concept

The product of roots is \(a^2-9\). Setting it equal to (0) gives \(a^2=9\), so (a=3) or (a=-3).

Step 2

Why this answer is correct

The correct answer is B. (3) और (-3) / (3) and (-3). The product of roots is \(a^2-9\). Setting it equal to (0) gives \(a^2=9\), so (a=3) or (a=-3).

Step 3

Exam Tip

जड़ों का गुणनफल \(a^2-9\) है। इसे (0) रखने पर \(a^2=9\), इसलिए (a=3) या (a=-3)।

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(x-2-2(a+1)x+a-2-1=0) की जड़ों का गुणनफल (0) हो, तो (a) का कौन-सा मान संभव है?

If the product of the roots of (x-2-2(a+1)x+a-2-1=0) is (0), which value of (a) is possible?

Explanation opens after your attempt
Correct Answer

A. (1) या (-1)(1) or (-1)

Step 1

Concept

The product of roots is \(a^2-1\). Setting it equal to (0) gives \(a^2=1\), so (a=1) or (a=-1).

Step 2

Why this answer is correct

The correct answer is A. (1) या (-1) / (1) or (-1). The product of roots is \(a^2-1\). Setting it equal to (0) gives \(a^2=1\), so (a=1) or (a=-1).

Step 3

Exam Tip

जड़ों का गुणनफल \(a^2-1\) है। इसे (0) रखने पर \(a^2=1\), इसलिए (a=1) या (a=-1)।

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यदि ग्राफ (x)-अक्ष को ((9,0)) पर छूता है और ((-5,0)) पर काटता है, तो शून्यकों का गुणनफल क्या है?

If a graph touches the (x)-axis at ((9,0)) and crosses it at ((-5,0)), what is the product of the zeroes?

Explanation opens after your attempt
Correct Answer

A. (-45)

Step 1

Concept

The zeroes are (9) and (-5), so the product is (-45). Tip: a touching point is also a zero.

Step 2

Why this answer is correct

The correct answer is A. (-45). The zeroes are (9) and (-5), so the product is (-45). Tip: a touching point is also a zero.

Step 3

Exam Tip

शून्यक (9) और (-5) हैं, इसलिए गुणनफल (-45) है। टिप: स्पर्श बिंदु भी शून्यक होता है।

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

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

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The zeroes are (0) and (6) so the product is (0). Tip: any number multiplied by (0) gives (0).

Step 2

Why this answer is correct

The correct answer is A. (0). The zeroes are (0) and (6) so the product is (0). Tip: any number multiplied by (0) gives (0).

Step 3

Exam Tip

शून्यक (0) और (6) हैं इसलिए गुणनफल (0) है। टिप: किसी भी संख्या से (0) गुणा करने पर (0) मिलता है।

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माया सभ्यता में शून्य के उपयोग का महत्व किस क्षेत्र से सबसे अधिक जुड़ा था?

The importance of the use of zero in Maya civilization was most connected with which field?

Explanation opens after your attempt
Correct Answer

A. गणना और कैलेंडरCalculation and calendar

Step 1

Concept

The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.

Step 2

Why this answer is correct

The correct answer is A. गणना और कैलेंडर / Calculation and calendar. The Maya used zero in calculation and timekeeping. For exams connect the Maya with mathematical achievement.

Step 3

Exam Tip

माया गणना और समय मापन में शून्य का उपयोग करते थे। परीक्षा में माया को गणितीय उपलब्धि से जोड़ें।

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किस प्राचीन सभ्यता में शून्य की अवधारणा का उन्नत उपयोग माया कैलेंडर में दिखता है?

In which ancient civilization is an advanced use of zero seen in the Maya calendar?

Explanation opens after your attempt
Correct Answer

A. मायाMaya

Step 1

Concept

Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.

Step 2

Why this answer is correct

The correct answer is A. माया / Maya. Maya civilization had an advanced counting and calendar system. Link it with astronomical knowledge in exams.

Step 3

Exam Tip

माया सभ्यता में गणना और कैलेंडर प्रणाली उन्नत थी। परीक्षा में इसे खगोल ज्ञान से जोड़ें।

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ब्रह्मगुप्त का शून्य संबंधी नियम किस क्षेत्र की उपलब्धि है?

Brahmagupta's rules related to zero are achievements of which field?

Explanation opens after your attempt
Correct Answer

A. गणितMathematics

Step 1

Concept

Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.

Step 2

Why this answer is correct

The correct answer is A. गणित / Mathematics. Brahmagupta gave important mathematical rules on zero and numbers. For exams, connect zero with a major achievement of Indian mathematics.

Step 3

Exam Tip

ब्रह्मगुप्त ने शून्य और संख्याओं पर महत्वपूर्ण गणितीय नियम दिए। परीक्षा में शून्य को भारतीय गणित की प्रमुख उपलब्धि से जोड़ें।

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संख्या रेखा पर (r(x)=4x+6) का शून्यक किस अंतराल में होगा?

In which interval will the zero of (r(x)=4x+6) lie on the number line?

Explanation opens after your attempt
Correct Answer

A. (-2) और (-1)(-2) and (-1)

Step 1

Concept

From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 2

Why this answer is correct

The correct answer is A. (-2) और (-1) / (-2) and (-1). From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 3

Exam Tip

(4x+6=0) से \(x=-\frac{3}{2}\), जो (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का अंतराल सावधानी से पहचानें।

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बहुपद (q(x)=3x-7) का शून्यक संख्या रेखा पर किस दो पूर्णांकों के बीच होगा?

Between which two integers will the zero of (q(x)=3x-7) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (2) और (3)(2) and (3)

Step 1

Concept

From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.

Step 2

Why this answer is correct

The correct answer is B. (2) और (3) / (2) and (3). From (3x-7=0), \(x=\frac{7}{3}\), which lies between (2) and (3). In exams, first find the zero and then locate it.

Step 3

Exam Tip

(3x-7=0) से \(x=\frac{7}{3}\), जो (2) और (3) के बीच है। परीक्षा में पहले शून्यक निकालें फिर स्थान तय करें।

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संख्या रेखा पर (p(x)=2x+5) का शून्यक किस बिंदु पर होगा?

At which point will the zero of (p(x)=2x+5) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (-2.5)

Step 1

Concept

From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.

Step 2

Why this answer is correct

The correct answer is B. (-2.5). From (2x+5=0), we get \(x=-\frac{5}{2}=-2.5\). In exams, find the zero and place it like a real number.

Step 3

Exam Tip

(2x+5=0) से \(x=-\frac{5}{2}=-2.5\) मिलता है। परीक्षा में शून्यक निकालकर उसे वास्तविक संख्या की तरह रखें।

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संख्या रेखा पर (u(x)=6x-18) का शून्यक किस बिंदु पर होगा?

At which point will the zero of (u(x)=6x-18) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 2

Why this answer is correct

The correct answer is B. (3). From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 3

Exam Tip

(6x-18=0) से (x=3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर सही बिंदु पर रखें।

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संख्या रेखा पर (p(x)=x) का शून्यक कौन सा है?

What is the zero of (p(x)=x) on the number line?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is B. (0). For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(p(x)=x) में (x=0) रखने पर (p(x)=0) होता है। परीक्षा में शून्यक वह मान है जहां बहुपद का मान (0) हो।

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यदि बहुपद का शून्यक (-5) है, तो संख्या रेखा पर वह किस दिशा में होगा?

If the zero of a polynomial is (-5), in which direction will it lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (0) के बाईं ओरTo the left of (0)

Step 1

Concept

The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.

Step 2

Why this answer is correct

The correct answer is B. (0) के बाईं ओर / To the left of (0). The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.

Step 3

Exam Tip

शून्यक (-5) ऋणात्मक है इसलिए वह (0) के बाईं ओर होगा। परीक्षा में शून्यक का चिह्न उसकी दिशा बताता है।

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बहुपद (q(x)=x-8) का शून्यक संख्या रेखा पर किस बिंदु पर होगा?

At which point will the zero of the polynomial (q(x)=x-8) lie on the number line?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).

Step 2

Why this answer is correct

The correct answer is C. (8). From (x-8=0), we get (x=8). In exams, the zero of (x-a) is (a).

Step 3

Exam Tip

(x-8=0) से (x=8) मिलता है। परीक्षा में (x-a) का शून्यक (a) होता है।

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संख्या रेखा पर (p(x)=x+3) के शून्यक को कहां दर्शाया जाएगा?

Where will the zero of (p(x)=x+3) be represented on the number line?

Explanation opens after your attempt
Correct Answer

B. (-3) परAt (-3)

Step 1

Concept

From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.

Step 2

Why this answer is correct

The correct answer is B. (-3) पर / At (-3). From (x+3=0), we get (x=-3). In exams, find the zero and show it as a point on the number line.

Step 3

Exam Tip

(x+3=0) से (x=-3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर बिंदु की तरह दिखाएं।

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यदि (p(x)=x-3-2x-2-13x-10) है, तो इनमें से कौन (p(x)) का शून्यक है?

If (p(x)=x-3-2x-2-13x-10), which of the following is a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

D. -(2)

Step 1

Concept

(p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.

Step 2

Why this answer is correct

The correct answer is D. -(2). (p(-2)=-8-8+26-10=0), so (-2) is a zero. Test small option values by direct substitution.

Step 3

Exam Tip

(p(-2)=-8-8+26-10=0), इसलिए (-2) शून्यक है। विकल्पों में दिए छोटे मानों को सीधे रखकर जाँचें।

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(p(x)=16x-2-24x+9) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=16x-2-24x+9)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{4}\)

Step 1

Concept

(16x-2-24x+9=(4x-3)2), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{4}\). (16x-2-24x+9=(4x-3)2), so the zero is \(x=\frac{3}{4}\). Recognize the perfect square.

Step 3

Exam Tip

(16x-2-24x+9=(4x-3)2), इसलिए शून्य \(x=\frac{3}{4}\) है। पूर्ण वर्ग पहचानें।

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यदि (x=-3), बहुपद (p(x)=x-2+kx-18) का शून्य है, तो (k) क्या है?

If (x=-3) is a zero of (p(x)=x-2+kx-18), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

(p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (-3). (p(-3)=9-3k-18=0), so (-3k=9) and (k=-3). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(-3)=9-3k-18=0), इसलिए (-3k=9) और (k=-3)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (x=0), (p(x)=7x-3-2x) का शून्यक है, तो कारण क्या है?

If (x=0) is a zero of (p(x)=7x-3-2x), what is the reason?

Explanation opens after your attempt
Correct Answer

A. हर पद में (x) गुणनखंड हैEvery term has factor (x)

Step 1

Concept

(p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.

Step 2

Why this answer is correct

The correct answer is A. हर पद में (x) गुणनखंड है / Every term has factor (x). (p(x)=x\(7x^2-2\)), so at (x=0) the value is (0). If every term has (x), then (0) is a zero.

Step 3

Exam Tip

(p(x)=x\(7x^2-2\)), इसलिए (x=0) पर मान (0) होता है। यदि हर पद में (x) हो, तो (0) शून्यक होता है।

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यदि (p(x)=4x-12), तो इसका शून्यक क्या है?

If (p(x)=4x-12), what is its zero?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is A. (3). From (4x-12=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(4x-12=0) से (x=3) मिलता है। शून्यक वह मान है जहाँ बहुपद का मान (0) हो।

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यदि (p(x)=ax+b) और \(a\neq0\), तो इसका शून्यक क्या है?

If (p(x)=ax+b) and \(a\neq0\), what is its zero?

Explanation opens after your attempt
Correct Answer

A. -\(\frac{b}{a}\)

Step 1

Concept

Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 2

Why this answer is correct

The correct answer is A. -\(\frac{b}{a}\). Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 3

Exam Tip

(ax+b=0) रखने पर \(x=-\frac{b}{a}\) मिलता है। रेखीय बहुपद में केवल एक शून्यक होता है।

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कौन-सा कथन सही है: (p(x)=0) जहाँ (p(x)) शून्य बहुपद है?

Which statement is correct for (p(x)=0), where (p(x)) is the zero polynomial?

Explanation opens after your attempt
Correct Answer

A. इसकी घात परिभाषित नहीं होतीIts degree is not defined

Step 1

Concept

The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is A. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The zero polynomial has no non-zero term, so its degree is not defined. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

शून्य बहुपद में कोई अशून्य पद नहीं होता, इसलिए उसकी घात परिभाषित नहीं होती। स्थिर अशून्य बहुपद की घात (0) होती है।

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यदि (p(x)=x-3-4x-2+x+6), तो इनमें से कौन (p(x)) का शून्यक है?

If (p(x)=x-3-4x-2+x+6), which of these is a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

(p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.

Step 2

Why this answer is correct

The correct answer is A. (2). (p(2)=8-16+2+6=0), so (2) is a zero. Test small integer options first.

Step 3

Exam Tip

(p(2)=8-16+2+6=0), इसलिए (2) शून्यक है। विकल्पों में छोटे पूर्णांकों को पहले जाँचें।

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(p(x)=9x-2+12x+4) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=9x-2+12x+4)?

Explanation opens after your attempt
Correct Answer

A. \(-\frac{2}{3}\)

Step 1

Concept

(9x-2+12x+4=(3x+2)2), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.

Step 2

Why this answer is correct

The correct answer is A. \(-\frac{2}{3}\). (9x-2+12x+4=(3x+2)2), so the zero is \(x=-\frac{2}{3}\). Recognize the perfect square.

Step 3

Exam Tip

(9x-2+12x+4=(3x+2)2), इसलिए शून्य \(x=-\frac{2}{3}\) है। पूर्ण वर्ग पहचानें।

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यदि (x=-2), बहुपद (p(x)=x-2+kx-8) का शून्य है, तो (k) क्या है?

If (x=-2) is a zero of (p(x)=x-2+kx-8), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

(p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-2). (p(-2)=4-2k-8=0), so (-2k=4) and (k=-2). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(-2)=4-2k-8=0), इसलिए (-2k=4) और (k=-2)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (p(x)=kx-2-5x+6) का एक शून्यक (2) है, तो (k) का मान क्या होगा?

If (2) is a zero of (p(x)=kx-2-5x+6), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).

Step 2

Why this answer is correct

The correct answer is A. (1). Putting (p(2)=0) gives (4k-10+6=0), so (k=1). For a zero, use (p\(\alpha\)=0).

Step 3

Exam Tip

(p(2)=0) रखने पर (4k-10+6=0) से (k=1) मिलता है। शून्यक के लिए (p\(\alpha\)=0) लगाएं।

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(p(x)=4x-2-12x+9) में कौन सा मान शून्य है?

Which value is a zero of (p(x)=4x-2-12x+9)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{2}\)

Step 1

Concept

(p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{3}{2}\). (p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.

Step 3

Exam Tip

(p\left\(\frac{3}{2}\right\)=9-18+9=0)। भिन्न मान रखते समय वर्ग और गुणा सही करें।

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यदि (x=3), बहुपद (p(x)=x-2-kx+12) का शून्य है, तो (k) क्या है?

If (x=3) is a zero of (p(x)=x-2-kx+12), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

(p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is C. (7). (p(3)=9-3k+12=0), so (21=3k) and (k=7). For a zero, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(3)=9-3k+12=0), इसलिए (21=3k) और (k=7)। शून्य की शर्त में बहुपद का मान (0) रखें।

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यदि (p(x)=ax-2+4x-12) और (x=2) इसका शून्य है, तो (a) क्या होगा?

If (p(x)=ax-2+4x-12) and (x=2) is its zero, what is (a)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (1). (p(2)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(2)=4a+8-12=0), इसलिए (4a=4) और (a=1)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (p(x)=cx+d) और \(c\ne0\), तो इसका शून्य क्या होगा?

If (p(x)=cx+d) and \(c\ne0\), what will be its zero?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{d}{c}\)

Step 1

Concept

From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{d}{c}\). From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 3

Exam Tip

(cx+d=0) से \(x=-\frac{d}{c}\) मिलता है। सूत्र में ऋण चिह्न ध्यान रखें।

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(p(x)=4x+20) का शून्य कौन सा है?

Which is the zero of (p(x)=4x+20)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-5). From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 3

Exam Tip

(4x+20=0) से (x=-5) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।

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(p(x)=9x-27) का शून्य क्या है?

What is the zero of (p(x)=9x-27)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 2

Why this answer is correct

The correct answer is B. (3). From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 3

Exam Tip

(9x-27=0) से (x=3) मिलता है। रैखिक बहुपद का शून्य समीकरण हल करके निकालें।

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किस मान के लिए \(x^2-6x+m\) में (x=2) शून्य होगा?

For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (8). (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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(x=-3) किस बहुपद का शून्य है?

For which polynomial is (x=-3) a zero?

Explanation opens after your attempt
Correct Answer

A. (p(x)=x+3)

Step 1

Concept

(p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 2

Why this answer is correct

The correct answer is A. (p(x)=x+3). (p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 3

Exam Tip

(p(-3)=-3+3=0), इसलिए (x=-3) इसका शून्य है। शून्य जांचने के लिए मान रखकर परिणाम (0) देखें।

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निम्न में से कौन सा कथन शून्य बहुपद के लिए सही है?

Which statement is correct for the zero polynomial?

Explanation opens after your attempt
Correct Answer

C. इसकी घात परिभाषित नहीं होतीIts degree is not defined

Step 1

Concept

The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is C. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। गैर-शून्य नियत बहुपद की घात (0) होती है।

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यदि (p(x)=x-2+px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?

If (4) is a zero of (p(x)=x-2+px+16), what is the value of (p)?

Explanation opens after your attempt
Correct Answer

A. (-8)

Step 1

Concept

\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 2

Why this answer is correct

The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 3

Exam Tip

\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।

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यदि (p(x)=x-2-9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?

If (p(x)=x-2-9), which number is not a zero of (p(x))?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

(p(0)=02-9=-9), which is not (0). So (0) is not a zero.

Step 2

Why this answer is correct

The correct answer is C. (0). (p(0)=02-9=-9), which is not (0). So (0) is not a zero.

Step 3

Exam Tip

(p(0)=02-9=-9) है जो (0) नहीं है। इसलिए (0) शून्य नहीं है।

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यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?

If (3) is a zero of (p(x)=kx+12), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 3

Exam Tip

(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।

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