Question 1/12
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 26
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 2/12
Expert Mathematics
Chapter 2: 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 3/12
Expert Mathematics
Chapter 2: 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. शून्य/Zero
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 4/12
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
रेखा (y=2x-10) (x)-अक्ष को कहाँ काटेगी?
Where will the line (y=2x-10) cut the (x)-axis?
Explanation opens after your attempt
Correct Answer
B. ((5,0))
Step 1
Concept
On the (x)-axis (y=0), so (2x-10=0) gives (x=5). Tip: put (y=0) to find the zero of a line.
Step 2
Why this answer is correct
The correct answer is B. ((5,0)). On the (x)-axis (y=0), so (2x-10=0) gives (x=5). Tip: put (y=0) to find the zero of a line.
Step 3
Exam Tip
(x)-अक्ष पर (y=0), इसलिए (2x-10=0) से (x=5) है। टिप: रेखा का शून्यक निकालने के लिए (y=0) रखें।
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Question 5/12
Easy Mathematics
Chapter 2: 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
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 6/12
Easy Mathematics
Chapter 2: 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
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 7/12
Easy Mathematics
Chapter 2: 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
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 8/12
Easy Mathematics
Chapter 2: 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
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 9/12
Easy Mathematics
Chapter 2: 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
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 10/12
Easy Mathematics
Chapter 2: 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
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 11/12
Easy Mathematics
Chapter 2: 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
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 12/12
Easy Mathematics
Chapter 2: 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
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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