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16 results found for "linear-polynomial" in Class 10.

Question Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 28

वह एकघात बहुपद कौन सा है जिसका शून्यक \(2\sqrt{3}\) है?

Which linear polynomial has zero \(2\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

A linear polynomial \(x-\alpha\) has zero \(\alpha\). Here \(\alpha=2\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(x-2\sqrt{3}\). A linear polynomial \(x-\alpha\) has zero \(\alpha\). Here \(\alpha=2\sqrt{3}\).

Step 3

Exam Tip

एकघात बहुपद \(x-\alpha\) का शून्यक \(\alpha\) होता है। यहाँ \(\alpha=2\sqrt{3}\) है।

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

बहुपद (p(x)=3x+6) के ग्राफ का (x)-अक्ष से प्रतिच्छेद कौन सा है?

What is the (x)-intercept of the graph of (p(x)=3x+6)?

Explanation opens after your attempt
Correct Answer

A. ((-2,0))

Step 1

Concept

Solving (3x+6=0) gives (x=-2). The (y)-coordinate of an (x)-intercept is always (0).

Step 2

Why this answer is correct

The correct answer is A. ((-2,0)). Solving (3x+6=0) gives (x=-2). The (y)-coordinate of an (x)-intercept is always (0).

Step 3

Exam Tip

(3x+6=0) से (x=-2) मिलता है। (x)-प्रतिच्छेद का (y)-निर्देशांक हमेशा (0) होता है।

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

यदि किसी रैखिक बहुपद का ग्राफ (x)-अक्ष के समानांतर है और (x)-अक्ष पर नहीं है तो उसके शून्यक कितने होंगे?

If the graph of a linear polynomial is parallel to the (x)-axis and not on the (x)-axis, how many zeroes will it have?

Explanation opens after your attempt
Correct Answer

A. शून्यZero

Step 1

Concept

Such a line never meets the (x)-axis so it has no zero. First check the intercept from the graph.

Step 2

Why this answer is correct

The correct answer is A. शून्य / Zero. Such a line never meets the (x)-axis so it has no zero. First check the intercept from the graph.

Step 3

Exam Tip

ऐसी रेखा कभी (x)-अक्ष से नहीं मिलती इसलिए कोई शून्यक नहीं होता। ग्राफ से पहले प्रतिच्छेद देखें।

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

किसी रैखिक बहुपद का आलेख (y=4x+12) है। इसका शून्यक क्या है?

The graph of a linear polynomial is (y=4x+12). What is its zero?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

Solving (4x+12=0) gives (x=-3). Tip: set (y=0) to find the zero.

Step 2

Why this answer is correct

The correct answer is A. (-3). Solving (4x+12=0) gives (x=-3). Tip: set (y=0) to find the zero.

Step 3

Exam Tip

(4x+12=0) से (x=-3) मिलता है। टिप: शून्यक के लिए (y=0) रखें।

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

किस स्थिति में रैखिक बहुपद का कोई वास्तविक शून्यक नहीं होगा?

In which situation will a linear polynomial have no real zero?

Explanation opens after your attempt
Correct Answer

B. जब उसका ग्राफ (x)-अक्ष के समांतर और ऊपर होWhen its graph is parallel to and above the (x)-axis

Step 1

Concept

A line parallel to and above the (x)-axis does not meet the (x)-axis. Tip: such a graph behaves like a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is B. जब उसका ग्राफ (x)-अक्ष के समांतर और ऊपर हो / When its graph is parallel to and above the (x)-axis. A line parallel to and above the (x)-axis does not meet the (x)-axis. Tip: such a graph behaves like a non-zero constant polynomial.

Step 3

Exam Tip

(x)-अक्ष के समांतर ऊपर रेखा (x)-अक्ष से नहीं मिलती। टिप: ऐसा ग्राफ अशून्य स्थिर बहुपद जैसा होता है।

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

यदि किसी रैखिक बहुपद का आलेख (x)-अक्ष के समांतर है और उसे नहीं काटता तो उसके कितने शून्यक हैं?

If the graph of a linear polynomial is parallel to the (x)-axis and does not cut it then how many zeroes does it have?

Explanation opens after your attempt
Correct Answer

A. शून्यZero

Step 1

Concept

On such a line (p(x)) is never (0). Tip: meeting the (x)-axis is necessary.

Step 2

Why this answer is correct

The correct answer is A. शून्य / Zero. On such a line (p(x)) is never (0). Tip: meeting the (x)-axis is necessary.

Step 3

Exam Tip

ऐसी रेखा पर (p(x)) कभी (0) नहीं होता। टिप: (x)-अक्ष से मिलना जरूरी है।

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

यदि किसी रैखिक बहुपद का आलेख (x)-अक्ष को एक बार काटता है तो उसके कितने शून्यक होंगे?

If the graph of a linear polynomial cuts the (x)-axis once then how many zeroes does it have?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

The number of real zeroes equals the number of times the graph cuts the (x)-axis. Tip: a linear polynomial has at most one zero.

Step 2

Why this answer is correct

The correct answer is A. एक / One. The number of real zeroes equals the number of times the graph cuts the (x)-axis. Tip: a linear polynomial has at most one zero.

Step 3

Exam Tip

जितनी बार आलेख (x)-अक्ष को काटता है उतने वास्तविक शून्यक होते हैं। टिप: रैखिक बहुपद का अधिकतम एक शून्यक होता है।

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

यदि (p(x)=x), तो ग्राफ का शून्यक क्या है?

If (p(x)=x), what is the zero of the graph?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

For the zero, (x=0) because (p(x)=x). The graph passes through the origin.

Step 2

Why this answer is correct

The correct answer is A. (0). For the zero, (x=0) because (p(x)=x). The graph passes through the origin.

Step 3

Exam Tip

शून्यक के लिए (x=0) होना चाहिए क्योंकि (p(x)=x)। ग्राफ मूल बिंदु से गुजरता है।

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

यदि (p(x)=2x+6), तो ग्राफ का (x)-अक्ष से कटाव किस (x)-मान पर होगा?

If (p(x)=2x+6), at which (x)-value will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

On the (x)-axis, (p(x)=0), so (2x+6=0) gives (x=-3). This is the graphical zero.

Step 2

Why this answer is correct

The correct answer is A. (-3). On the (x)-axis, (p(x)=0), so (2x+6=0) gives (x=-3). This is the graphical zero.

Step 3

Exam Tip

(x)-अक्ष पर (p(x)=0), इसलिए (2x+6=0) से (x=-3)। यही ग्राफीय शून्यक है।

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

रेखा (y=x+9) का शून्यक क्या होगा?

What will be the zero of the line (y=x+9)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Step 1

Concept

For the zero, (x+9=0), so (x=-9). Do not make a sign error.

Step 2

Why this answer is correct

The correct answer is B. (-9). For the zero, (x+9=0), so (x=-9). Do not make a sign error.

Step 3

Exam Tip

शून्यक के लिए (x+9=0), इसलिए (x=-9)। चिह्न बदलने की गलती न करें।

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

रेखा (y=3x-12) का (x)-अक्ष से कटाव किस (x)-मान पर होगा?

At which (x)-value will the line (y=3x-12) cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

On the (x)-axis, (y=0), so (3x-12=0) gives (x=4). This is the zero.

Step 2

Why this answer is correct

The correct answer is A. (4). On the (x)-axis, (y=0), so (3x-12=0) gives (x=4). This is the zero.

Step 3

Exam Tip

(x)-अक्ष पर (y=0), इसलिए (3x-12=0) से (x=4) मिलता है। यही शून्यक है।

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

यदि रेखा (y=x+7) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक क्या होगा?

If the graph of the line (y=x+7) cuts the (x)-axis, what is the zero?

Explanation opens after your attempt
Correct Answer

B. (-7)

Step 1

Concept

On the (x)-axis, (y=0), so (x+7=0) gives (x=-7). Watch the negative sign carefully.

Step 2

Why this answer is correct

The correct answer is B. (-7). On the (x)-axis, (y=0), so (x+7=0) gives (x=-7). Watch the negative sign carefully.

Step 3

Exam Tip

(x)-अक्ष पर (y=0), इसलिए (x+7=0) से (x=-7) मिलता है। ऋण चिह्न को ध्यान से देखें।

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

यदि रेखा (y=2x-6) (x)-अक्ष को काटती है, तो संबंधित रैखिक बहुपद का शून्यक क्या है?

If the line (y=2x-6) cuts the (x)-axis, what is the zero of the related linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

On the (x)-axis, (y=0), so (2x-6=0) gives (x=3). This is the graphical zero.

Step 2

Why this answer is correct

The correct answer is A. (3). On the (x)-axis, (y=0), so (2x-6=0) gives (x=3). This is the graphical zero.

Step 3

Exam Tip

(x)-अक्ष पर (y=0), इसलिए (2x-6=0) से (x=3) मिलता है। यही ग्राफीय शून्यक है।

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

यदि (p(x)=x+2) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक कौन-सा है?

If the graph of (p(x)=x+2) cuts the (x)-axis, which is the zero?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

For the zero, (x+2=0), so (x=-2). The graph cuts the (x)-axis at (x=-2).

Step 2

Why this answer is correct

The correct answer is B. (-2). For the zero, (x+2=0), so (x=-2). The graph cuts the (x)-axis at (x=-2).

Step 3

Exam Tip

शून्यक के लिए (x+2=0), इसलिए (x=-2)। ग्राफ (x)-अक्ष को (x=-2) पर काटेगा।

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

यदि (p(x)=x-4) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक क्या होगा?

If the graph of (p(x)=x-4) cuts the (x)-axis, what is the zero?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

For the zero, (x-4=0), so (x=4). The graph also cuts the (x)-axis at (x=4).

Step 2

Why this answer is correct

The correct answer is A. (4). For the zero, (x-4=0), so (x=4). The graph also cuts the (x)-axis at (x=4).

Step 3

Exam Tip

शून्यक के लिए (x-4=0), इसलिए (x=4)। ग्राफ भी (x)-अक्ष को (x=4) पर काटेगा।

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

यदि किसी रैखिक बहुपद का ग्राफ (x)-अक्ष को केवल एक बार काटता है, तो उसके कितने शून्यक होंगे?

If the graph of a linear polynomial cuts the (x)-axis only once, how many zeroes will it have?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

The graph of a linear polynomial is a line and usually cuts the (x)-axis once. Therefore it has one zero.

Step 2

Why this answer is correct

The correct answer is A. एक / One. The graph of a linear polynomial is a line and usually cuts the (x)-axis once. Therefore it has one zero.

Step 3

Exam Tip

रैखिक बहुपद का ग्राफ एक रेखा होता है और सामान्यतः (x)-अक्ष को एक बार काटता है। इसलिए उसका एक शून्यक होता है।

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