संख्या रेखा पर (t(x)=4x+8) का शून्यक कौन सा है?
What is the zero of (t(x)=4x+8) on the number line?
Explanation opens after your attempt
Step 1
Concept
From (4x+8=0), we get (x=-2). In exams, do not forget the negative sign after division.
Step 2
Why this answer is correct
The correct answer is B. (-2). From (4x+8=0), we get (x=-2). In exams, do not forget the negative sign after division.
Step 3
Exam Tip
(4x+8=0) से (x=-2) मिलता है। परीक्षा में भाग देने के बाद भी ऋण चिह्न न भूलें।
Login to save your score, XP, coins and progress.
संख्या रेखा पर (s(x)=5x-10) का शून्यक कौन सा बिंदु है?
Which point is the zero of (s(x)=5x-10) on the number line?
Explanation opens after your attempt
Step 1
Concept
From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.
Step 2
Why this answer is correct
The correct answer is B. (2). From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.
Step 3
Exam Tip
(5x-10=0) से (x=2) मिलता है। परीक्षा में पहले स्थिर पद को दूसरी ओर ले जाएं।
Login to save your score, XP, coins and progress.
संख्या रेखा पर (r(x)=3x+12) का शून्यक कहां होगा?
Where will the zero of (r(x)=3x+12) be on the number line?
Explanation opens after your attempt
Correct Answer
B. (-4) पर/At (-4)
Step 1
Concept
From (3x+12=0), we get (x=-4). In exams, a positive constant term can give a negative zero.
Step 2
Why this answer is correct
The correct answer is B. (-4) पर / At (-4). From (3x+12=0), we get (x=-4). In exams, a positive constant term can give a negative zero.
Step 3
Exam Tip
(3x+12=0) से (x=-4) मिलता है। परीक्षा में धनात्मक स्थिर पद होने पर शून्यक ऋणात्मक हो सकता है।
Login to save your score, XP, coins and progress.
संख्या रेखा पर (p(x)=2x-6) का शून्यक कौन सा बिंदु है?
Which point is the zero of (p(x)=2x-6) on the number line?
Explanation opens after your attempt
Step 1
Concept
From (2x-6=0), we get (x=3). In exams, solve the equation first and then mark the point.
Step 2
Why this answer is correct
The correct answer is B. (3). From (2x-6=0), we get (x=3). In exams, solve the equation first and then mark the point.
Step 3
Exam Tip
(2x-6=0) से (x=3) मिलता है। परीक्षा में पहले समीकरण हल करें फिर बिंदु चिह्नित करें।
Login to save your score, XP, coins and progress.
यदि (p(x)=4x-12), तो इसका शून्यक क्या है?
If (p(x)=4x-12), what is its zero?
Explanation opens after your attempt
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।
Login to save your score, XP, coins and progress.
निम्न में से कौन-सा (x) में रेखीय बहुपद है?
Which of the following is a linear polynomial in (x)?
Explanation opens after your attempt
Step 1
Concept
A linear polynomial has degree (1), so (5x-9) is linear. Its leading coefficient must be non-zero.
Step 2
Why this answer is correct
The correct answer is A. (5x-9). A linear polynomial has degree (1), so (5x-9) is linear. Its leading coefficient must be non-zero.
Step 3
Exam Tip
रेखीय बहुपद की घात (1) होती है, इसलिए (5x-9) रेखीय है। प्रमुख गुणांक शून्य नहीं होना चाहिए।
Login to save your score, XP, coins and progress.
(p(x)=4x+20) का शून्य कौन सा है?
Which is the zero of (p(x)=4x+20)?
Explanation opens after your attempt
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।
Login to save your score, XP, coins and progress.
किसी रैखिक बहुपद (mx+n) में \(m\ne0\) हो तो उसकी घात क्या है?
If \(m\ne0\) in a linear polynomial (mx+n), what is its degree?
Explanation opens after your attempt
Step 1
Concept
When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 3
Exam Tip
\(m\ne0\) होने पर (mx) पद मौजूद रहता है और सबसे बड़ी घात (1) होती है। इसलिए घात (1) है।
Login to save your score, XP, coins and progress.
(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।
Login to save your score, XP, coins and progress.
यदि \(a\neq0\), तो (ax+b) के बारे में सही कथन कौन सा है?
If \(a\neq0\), which statement is correct about (ax+b)?
Explanation opens after your attempt
Correct Answer
B. यह रैखिक बहुपद है/It is a linear polynomial
Step 1
Concept
When \(a\neq0\), the (x)-term is present. So (ax+b) has degree (1).
Step 2
Why this answer is correct
The correct answer is B. यह रैखिक बहुपद है / It is a linear polynomial. When \(a\neq0\), the (x)-term is present. So (ax+b) has degree (1).
Step 3
Exam Tip
\(a\neq0\) होने पर (x) का पद मौजूद रहता है। इसलिए (ax+b) की घात (1) होती है।
Login to save your score, XP, coins and progress.
\(x^2+1\), \(x^3+x\), (5x-2) में सबसे कम घात वाला बहुपद कौन सा है?
Among \(x^2+1\), \(x^3+x\), and (5x-2), which polynomial has the least degree?
Explanation opens after your attempt
Step 1
Concept
Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (5x-2). Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 3
Exam Tip
इनकी घातें क्रमशः (2), (3) और (1) हैं। सबसे कम घात (1) है।
Login to save your score, XP, coins and progress.
यदि (p(x)=4x-12), तो किस मान पर (p(x)=0) होगा?
If (p(x)=4x-12), for which value will (p(x)=0)?
Explanation opens after your attempt
Step 1
Concept
From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.
Step 2
Why this answer is correct
The correct answer is B. (3). From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.
Step 3
Exam Tip
(4x-12=0) से (4x=12) और (x=3) मिलता है। यह बहुपद का शून्य है।
Login to save your score, XP, coins and progress.
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
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।
Login to save your score, XP, coins and progress.
(p(x)=x+9) का शून्य क्या है?
What is the zero of (p(x)=x+9)?
Explanation opens after your attempt
Step 1
Concept
Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).
Step 2
Why this answer is correct
The correct answer is B. (-9). Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).
Step 3
Exam Tip
(x+9=0) करने पर (x=-9) मिलता है। (x+a) का शून्य (-a) होता है।
Login to save your score, XP, coins and progress.
(p(x)=3x+12) का शून्य कौन सा है?
Which is the zero of (p(x)=3x+12)?
Explanation opens after your attempt
Step 1
Concept
From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).
Step 2
Why this answer is correct
The correct answer is B. (-4). From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).
Step 3
Exam Tip
(3x+12=0) से (x=-4) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।
Login to save your score, XP, coins and progress.
किसी रैखिक बहुपद (ax+b) में \(a\ne0\) हो तो उसकी घात क्या है?
If \(a\ne0\) in a linear polynomial (ax+b), what is its degree?
Explanation opens after your attempt
Step 1
Concept
When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 3
Exam Tip
(ax+b) में \(a\ne0\) होने पर (x) की सबसे बड़ी घात (1) है। इसलिए घात (1) होगी।
Login to save your score, XP, coins and progress.
(x=2) किस बहुपद का शून्य है?
For which polynomial is (x=2) a zero?
Explanation opens after your attempt
Correct Answer
A. (p(x)=x-2)
Step 1
Concept
(p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).
Step 2
Why this answer is correct
The correct answer is A. (p(x)=x-2). (p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).
Step 3
Exam Tip
(p(2)=2-2=0), इसलिए (x=2) इसका शून्य है। शून्य जांचने के लिए मान रखकर (0) देखें।
Login to save your score, XP, coins and progress.
(p(x)=x-6) का शून्य क्या है?
What is the zero of (p(x)=x-6)?
Explanation opens after your attempt
Step 1
Concept
Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).
Step 2
Why this answer is correct
The correct answer is A. (6). Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).
Step 3
Exam Tip
(x-6=0) करने पर (x=6) आता है। (x-a) का शून्य (a) होता है।
Login to save your score, XP, coins and progress.
यदि (p(x)=3x-5), तो (p(2)) क्या होगा?
If (p(x)=3x-5), what is (p(2))?
Explanation opens after your attempt
Step 1
Concept
(p(2)=3(2)-5=1). Use direct substitution in a simple linear polynomial.
Step 2
Why this answer is correct
The correct answer is A. (1). (p(2)=3(2)-5=1). Use direct substitution in a simple linear polynomial.
Step 3
Exam Tip
(p(2)=3(2)-5=1) है। सरल रैखिक बहुपद में सीधे प्रतिस्थापन करें।
Login to save your score, XP, coins and progress.
निम्न में से रैखिक बहुपद कौन सा है?
Which of the following is a linear polynomial?
Explanation opens after your attempt
Step 1
Concept
A linear polynomial has degree (1). In (3x+4), the highest power is (1).
Step 2
Why this answer is correct
The correct answer is A. (3x+4). A linear polynomial has degree (1). In (3x+4), the highest power is (1).
Step 3
Exam Tip
रैखिक बहुपद की घात (1) होती है। (3x+4) में सबसे बड़ी घात (1) है।
Login to save your score, XP, coins and progress.
यदि (p(x)=5x-3), तो (p(0)) का मान क्या है?
If (p(x)=5x-3), what is the value of (p(0))?
Explanation opens after your attempt
Step 1
Concept
(p(0)=5(0)-3=-3). In exams, when (x=0), only the constant term remains.
Step 2
Why this answer is correct
The correct answer is B. \(-3\). (p(0)=5(0)-3=-3). In exams, when (x=0), only the constant term remains.
Step 3
Exam Tip
(p(0)=5(0)-3=-3)। परीक्षा में (x=0) रखने पर केवल स्थिर पद बचता है।
Login to save your score, XP, coins and progress.
कौन-सा बहुपद रैखिक बहुपद है?
Which polynomial is a linear polynomial?
Explanation opens after your attempt
Step 1
Concept
A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 2
Why this answer is correct
The correct answer is B. (3x-8). A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 3
Exam Tip
रैखिक बहुपद की घात (1) होती है। (3x-8) की सबसे बड़ी घात (1) है।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
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।
Login to save your score, XP, coins and progress.
