Question 1/15
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किस स्थिति में (x=3) बहुपद (p(x)) का शून्यक कहलाएगा?
In which situation will (x=3) be called a zero of polynomial (p(x))?
#definition
#zero
#function-value
A जब (p(3)=0) / When (p(3)=0)
B जब (p(0)=3) / When (p(0)=3)
C जब ग्राफ ((0,3)) से गुजरे / When the graph passes through ((0,3))
D जब (p(3)=3) / When (p(3)=3)
Explanation opens after your attempt
Correct Answer
A. जब (p(3)=0) / When (p(3)=0)
Step 1
Concept
A zero is the (x)-value at which the polynomial value is zero. In exams check (p(a)=0).
Step 2
Why this answer is correct
The correct answer is A. जब (p(3)=0) / When (p(3)=0). A zero is the (x)-value at which the polynomial value is zero. In exams check (p(a)=0).
Step 3
Exam Tip
शून्यक वही (x)-मान है जिस पर बहुपद का मान शून्य हो। परीक्षा में (p(a)=0) जांचें।
Login to save your score, XP, coins and progress.
Question 2/15
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किसी बहुपद का ग्राफ (x)-अक्ष से ((7,0)) पर मिलता है। उस बिंदु पर (p(x)) का मान क्या होगा?
A polynomial graph meets the (x)-axis at ((7,0)). What is the value of (p(x)) at that point?
#x-axis
#function-value
#zero
A (0)
B (7)
C (-7)
D (1)
Explanation opens after your attempt
Step 1
Concept
Every point on the (x)-axis has (y=0). Therefore (p(7)=0).
Step 2
Why this answer is correct
The correct answer is A. (0). Every point on the (x)-axis has (y=0). Therefore (p(7)=0).
Step 3
Exam Tip
(x)-अक्ष पर हर बिंदु का (y)-मान (0) होता है। इसलिए (p(7)=0) होगा।
Login to save your score, XP, coins and progress.
Question 3/15
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
ग्राफ में (p(2)=0) दिख रहा है। इसका ज्यामितीय अर्थ क्या है?
The graph shows (p(2)=0). What is its geometrical meaning?
#graphical-meaning
#function-value
#zero
A ग्राफ (x)-अक्ष को ((2,0)) पर मिलता है / The graph meets the (x)-axis at ((2,0))
B ग्राफ (y)-अक्ष को ((2,0)) पर मिलता है / The graph meets the (y)-axis at ((2,0))
C ग्राफ का शीर्ष ((0,2)) है / The vertex is ((0,2))
D ग्राफ (x=2) के समानांतर है / The graph is parallel to (x=2)
Explanation opens after your attempt
Correct Answer
A. ग्राफ (x)-अक्ष को ((2,0)) पर मिलता है / The graph meets the (x)-axis at ((2,0))
Step 1
Concept
(p(2)=0) means (y=0) at (x=2). So the point lies on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. ग्राफ (x)-अक्ष को ((2,0)) पर मिलता है / The graph meets the (x)-axis at ((2,0)). (p(2)=0) means (y=0) at (x=2). So the point lies on the (x)-axis.
Step 3
Exam Tip
(p(2)=0) का अर्थ (x=2) पर (y=0) है। इसलिए बिंदु (x)-अक्ष पर होगा।
Login to save your score, XP, coins and progress.
Question 4/15
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(-1)<0), (p(0)<0) और (p(2)=0), तो दिए गए मानों में कौन सा शून्यक निश्चित है?
If (p(-1)<0), (p(0)<0) and (p(2)=0), which zero is definite among the given values?
#definite zero
#function value
#graph
A (-1)
B (0)
C (2)
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
Only (p(2)=0) directly shows a zero. Tip: positive or negative values are not zeroes.
Step 2
Why this answer is correct
The correct answer is C. (2). Only (p(2)=0) directly shows a zero. Tip: positive or negative values are not zeroes.
Step 3
Exam Tip
केवल (p(2)=0) सीधे शून्यक बताता है। टिप: धनात्मक या ऋणात्मक मान शून्यक नहीं होते।
Login to save your score, XP, coins and progress.
Question 5/15
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी बहुपद के ग्राफ पर ((2,0)), ((3,4)), ((4,0)) और ((5,-1)) बिंदु हैं। (p(3)) और (p(5)) को शून्यक क्यों नहीं कहा जाएगा?
The points ((2,0)), ((3,4)), ((4,0)) and ((5,-1)) lie on a polynomial graph. Why will (3) and (5) not be called zeroes?
#function value
#not zero
#graph
A क्योंकि उनके (x)-मान धनात्मक हैं / Because their (x)-values are positive
B क्योंकि उनके (y)-मान (0) नहीं हैं / Because their (y)-values are not (0)
C क्योंकि वे (y)-अक्ष पर हैं / Because they are on the (y)-axis
D क्योंकि बहुपद का ग्राफ नहीं बनता / Because a polynomial graph is not formed
Explanation opens after your attempt
Correct Answer
B. क्योंकि उनके (y)-मान (0) नहीं हैं / Because their (y)-values are not (0)
Step 1
Concept
At (3) and (5), (p(x)) is (4) and (-1). Tip: for a zero, the function value must be exactly (0).
Step 2
Why this answer is correct
The correct answer is B. क्योंकि उनके (y)-मान (0) नहीं हैं / Because their (y)-values are not (0). At (3) and (5), (p(x)) is (4) and (-1). Tip: for a zero, the function value must be exactly (0).
Step 3
Exam Tip
(3) और (5) पर (p(x)) क्रमशः (4) और (-1) है। टिप: शून्यक के लिए फलन मान बिल्कुल (0) होना चाहिए।
Login to save your score, XP, coins and progress.
Question 6/15
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(a)=0) और (p(b)=0), जहाँ \(a\neq b\), तो आलेख (x)-अक्ष को किन बिंदुओं पर काटेगा?
If (p(a)=0) and (p(b)=0), where \(a\neq b\), at which points will the graph cut the (x)-axis?
#function value
#zero point
#graph
A ((0,a)) और ((0,b)) / ((0,a)) and ((0,b))
B ((a,b)) और ((b,a)) / ((a,b)) and ((b,a))
C ((a,0)) और ((b,0)) / ((a,0)) and ((b,0))
D ((a,a)) और ((b,b)) / ((a,a)) and ((b,b))
Explanation opens after your attempt
Correct Answer
C. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0))
Step 1
Concept
The value (p(a)=0) gives the point ((a,0)). Tip: (p(x)) is the (y)-coordinate on the graph.
Step 2
Why this answer is correct
The correct answer is C. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The value (p(a)=0) gives the point ((a,0)). Tip: (p(x)) is the (y)-coordinate on the graph.
Step 3
Exam Tip
(p(a)=0) का बिंदु ((a,0)) होता है। टिप: (p(x)) ग्राफ में (y)-निर्देशांक होता है।
Login to save your score, XP, coins and progress.
Question 7/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(-4)=0), तो ग्राफ (x)-अक्ष से कहाँ मिलेगा?
If (p(-4)=0), where will the graph meet the (x)-axis?
#negative-zero
#function-value
#x-axis
#easy
A ((-4,0))
B ((4,0))
C ((0,-4))
D ((-4,4))
Explanation opens after your attempt
Correct Answer
A. ((-4,0))
Step 1
Concept
(p(-4)=0) means (y=0) when (x=-4). Therefore the graph meets the (x)-axis at ((-4,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-4,0)). (p(-4)=0) means (y=0) when (x=-4). Therefore the graph meets the (x)-axis at ((-4,0)).
Step 3
Exam Tip
(p(-4)=0) बताता है कि (x=-4) पर (y=0) है। इसलिए ग्राफ (x)-अक्ष से ((-4,0)) पर मिलेगा।
Login to save your score, XP, coins and progress.
Question 8/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(12)=0), तो (12) को ग्राफ पर कैसे देखा जाएगा?
If (p(12)=0), how will (12) be seen on the graph?
#function-value
#graphical-meaning
#zeroes
#easy
A ग्राफ (x)-अक्ष को (x=12) पर काटेगा या छुएगा / The graph will cut or touch the (x)-axis at (x=12)
B ग्राफ (y)-अक्ष को (y=12) पर काटेगा / The graph will cut the (y)-axis at (y=12)
C ग्राफ (x=0) पर ही होगा / The graph will only be at (x=0)
D ग्राफ नहीं बनेगा / No graph will be formed
Explanation opens after your attempt
Correct Answer
A. ग्राफ (x)-अक्ष को (x=12) पर काटेगा या छुएगा / The graph will cut or touch the (x)-axis at (x=12)
Step 1
Concept
(p(12)=0) means (y=0) at (x=12). So the graph will meet the (x)-axis there.
Step 2
Why this answer is correct
The correct answer is A. ग्राफ (x)-अक्ष को (x=12) पर काटेगा या छुएगा / The graph will cut or touch the (x)-axis at (x=12). (p(12)=0) means (y=0) at (x=12). So the graph will meet the (x)-axis there.
Step 3
Exam Tip
(p(12)=0) का अर्थ है (x=12) पर (y=0)। इसलिए ग्राफ (x)-अक्ष से वहाँ मिलेगा।
Login to save your score, XP, coins and progress.
Question 9/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(-10)=0), तो (x)-अक्ष पर संबंधित बिंदु कौन-सा होगा?
If (p(-10)=0), which corresponding point will be on the (x)-axis?
#x-axis-point
#function-value
#negative-zero
#easy
A ((-10,0))
B ((10,0))
C ((0,-10))
D ((-10,-10))
Explanation opens after your attempt
Correct Answer
A. ((-10,0))
Step 1
Concept
(p(-10)=0) means (y=0) at (x=-10). Therefore the point on the (x)-axis is ((-10,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-10,0)). (p(-10)=0) means (y=0) at (x=-10). Therefore the point on the (x)-axis is ((-10,0)).
Step 3
Exam Tip
(p(-10)=0) का अर्थ है (x=-10) पर (y=0)। इसलिए (x)-अक्ष पर बिंदु ((-10,0)) होगा।
Login to save your score, XP, coins and progress.
Question 10/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?
If (p(-3)=0), which value is a zero of the polynomial?
#zero-definition
#function-value
#negative-zero
#easy
A (-3)
B (3)
C (0)
D (1)
Explanation opens after your attempt
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।
Login to save your score, XP, coins and progress.
Question 11/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(9)=0), तो ग्राफ किस बिंदु से गुजरेगा?
If (p(9)=0), through which point will the graph pass?
#function-value
#graph-point
#zeroes
#class-10
A ((9,0))
B ((0,9))
C ((-9,0))
D ((9,9))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
(p(9)=0) means (y=0) when (x=9). Therefore the graph passes through ((9,0)).
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). (p(9)=0) means (y=0) when (x=9). Therefore the graph passes through ((9,0)).
Step 3
Exam Tip
(p(9)=0) का अर्थ है (x=9) पर (y=0)। इसलिए ग्राफ ((9,0)) से गुजरेगा।
Login to save your score, XP, coins and progress.
Question 12/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(-6)=0), तो कौन-सा बिंदु ग्राफ पर होगा?
If (p(-6)=0), which point will lie on the graph?
#graph-point
#function-value
#negative-zero
#easy
A ((-6,0))
B ((6,0))
C ((0,-6))
D ((0,6))
Explanation opens after your attempt
Correct Answer
A. ((-6,0))
Step 1
Concept
(p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.
Step 2
Why this answer is correct
The correct answer is A. ((-6,0)). (p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.
Step 3
Exam Tip
(p(-6)=0) बताता है कि (x=-6) पर (y=0) है। इसलिए बिंदु ((-6,0)) ग्राफ पर होगा।
Login to save your score, XP, coins and progress.
Question 13/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((8,0)) पर काटता है, तो (p(8)) का मान क्या होगा?
If the graph cuts the (x)-axis at ((8,0)), what is the value of (p(8))?
#function-value
#x-axis
#zeroes
#easy
A (0)
B (8)
C (-8)
D (1)
Explanation opens after your attempt
Step 1
Concept
On the (x)-axis, (y=0). Therefore at ((8,0)), (p(8)=0).
Step 2
Why this answer is correct
The correct answer is A. (0). On the (x)-axis, (y=0). Therefore at ((8,0)), (p(8)=0).
Step 3
Exam Tip
(x)-अक्ष पर (y=0) होता है। इसलिए ((8,0)) पर (p(8)=0) होगा।
Login to save your score, XP, coins and progress.
Question 14/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(6)=0), तो बहुपद के ग्राफ का (x)-अक्ष से कौन-सा कटाव होगा?
If (p(6)=0), what will be the (x)-axis intersection of the polynomial graph?
#x-intercept
#function-value
#zeroes
#easy
A ((6,0))
B ((0,6))
C ((-6,0))
D ((6,6))
Explanation opens after your attempt
Correct Answer
A. ((6,0))
Step 1
Concept
(p(6)=0) means (y=0) when (x=6). Hence the graph cuts the (x)-axis at ((6,0)).
Step 2
Why this answer is correct
The correct answer is A. ((6,0)). (p(6)=0) means (y=0) when (x=6). Hence the graph cuts the (x)-axis at ((6,0)).
Step 3
Exam Tip
(p(6)=0) बताता है कि (x=6) पर (y=0) है। इसलिए ग्राफ (x)-अक्ष को ((6,0)) पर काटता है।
Login to save your score, XP, coins and progress.
Question 15/15
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(-1)=0), तो ग्राफ किस बिंदु से गुजरेगा?
If (p(-1)=0), through which point will the graph pass?
#function-value
#graph-point
#zeroes
#polynomials
A ((-1,0))
B ((1,0))
C ((0,-1))
D ((0,1))
Explanation opens after your attempt
Correct Answer
A. ((-1,0))
Step 1
Concept
(p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-1,0)). (p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).
Step 3
Exam Tip
(p(-1)=0) का अर्थ है (x=-1) पर (y=0)। इसलिए ग्राफ ((-1,0)) से गुजरेगा।
Login to save your score, XP, coins and progress.
