Question 1/23
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -9) है तो इसका ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?
If (p(x)=x-2 -9), at which points will its graph cut the (x)-axis?
#polynomials
#x-intercepts
#numerical
A ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0))
B ((0,-3)) और ((0,3)) / ((0,-3)) and ((0,3))
C ((-9,0)) और ((9,0)) / ((-9,0)) and ((9,0))
D ((0,-9)) और ((0,9)) / ((0,-9)) and ((0,9))
Explanation opens after your attempt
Correct Answer
A. ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0))
Step 1
Concept
Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)) और ((3,0)) / ((-3,0)) and ((3,0)). Solving \(x^2-9=0\) gives \(x=\pm3\). Zeroes appear on the (x)-axis as ((x,0)).
Step 3
Exam Tip
\(x^2-9=0\) से \(x=\pm3\) मिलता है। शून्यक हमेशा (x)-अक्ष पर ((x,0)) रूप में दिखते हैं।
Login to save your score, XP, coins and progress.
Question 2/23
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किसी बहुपद के ग्राफ का (x)-अक्ष को केवल छूना लेकिन पार न करना क्या दर्शाता है?
What does it indicate when the graph of a polynomial only touches the (x)-axis but does not cross it?
#polynomials
#tangent-zero
#quadratic
A वह बिंदु भी शून्यक है / That point is also a zero
B वह शून्यक नहीं है / It is not a zero
C बहुपद स्थिर है / The polynomial is constant
D डिग्री शून्य है / Degree is zero
Explanation opens after your attempt
Correct Answer
A. वह बिंदु भी शून्यक है / That point is also a zero
Step 1
Concept
For a zero it is enough that (y=0). Touching or crossing both give zeroes.
Step 2
Why this answer is correct
The correct answer is A. वह बिंदु भी शून्यक है / That point is also a zero. For a zero it is enough that (y=0). Touching or crossing both give zeroes.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना पर्याप्त है। छूना या काटना दोनों शून्यक देते हैं।
Login to save your score, XP, coins and progress.
Question 3/23
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी द्विघात बहुपद (p(x)) का ग्राफ (x)-अक्ष को (-2) और (5) पर काटता है तो उसके शून्यकों की संख्या क्या है?
If the graph of a quadratic polynomial (p(x)) cuts the (x)-axis at (-2) and (5), how many zeroes does it have?
#polynomials
#zeroes
#graphical-meaning
A दो / Two
B एक / One
C तीन / Three
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
A zero occurs where the graph meets the (x)-axis. In exams count the (x)-intercepts.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. A zero occurs where the graph meets the (x)-axis. In exams count the (x)-intercepts.
Step 3
Exam Tip
ग्राफ जहाँ (x)-अक्ष को काटता है वही शून्यक होता है। परीक्षा में काटने वाले बिंदुओं की संख्या गिनें।
Login to save your score, XP, coins and progress.
Question 4/23
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी बहुपद का आलेख (x)-अक्ष को ((-4,0)), ((1,0)) और ((6,0)) पर काटता है। उसके वास्तविक शून्यकों की संख्या कितनी है?
A polynomial graph cuts the (x)-axis at ((-4,0)), ((1,0)) and ((6,0)). How many real zeroes does it have?
#polynomials
#zeroes
#graph
A एक / One
B दो / Two
C तीन / Three
D चार / Four
Explanation opens after your attempt
Correct Answer
C. तीन / Three
Step 1
Concept
There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).
Step 2
Why this answer is correct
The correct answer is C. तीन / Three. There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).
Step 3
Exam Tip
तीन अलग (x)-अक्ष कटान हैं इसलिए तीन वास्तविक शून्यक हैं। टिप: केवल (y=0) वाले बिंदु गिनें।
Login to save your score, XP, coins and progress.
Question 5/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)) का ग्राफ (x)-अक्ष को ((u,0)), ((v,0)), और ((w,0)) पर काटता है, तो शून्यक कौन-से हैं?
If the graph of (p(x)) cuts the (x)-axis at ((u,0)), ((v,0)), and ((w,0)), what are the zeroes?
#general-zeroes
#coordinates
#x-intercepts
#polynomials
A (u), (v), (w)
B (0), (0), (0)
C (-u), (-v), (-w)
D (u+v+w)
Explanation opens after your attempt
Correct Answer
A. (u), (v), (w)
Step 1
Concept
Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 2
Why this answer is correct
The correct answer is A. (u), (v), (w). Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 3
Exam Tip
शून्यक (x)-अक्ष कटावों के (x)-निर्देशांक होते हैं। इसलिए शून्यक (u), (v), और (w) हैं।
Login to save your score, XP, coins and progress.
Question 6/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)) का ग्राफ मूल बिंदु से गुजरता है, तो कौन-सा मान शून्यक है?
If the graph of (p(x)) passes through the origin, which value is a zero?
#origin
#zeroes
#graph
#polynomials
A (0)
B (1
C (-1)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Step 1
Concept
The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.
Step 2
Why this answer is correct
The correct answer is A. (0). The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.
Step 3
Exam Tip
मूल बिंदु ((0,0)) है, इसलिए (x=0) पर (p(x)=0)। अतः (0) शून्यक है।
Login to save your score, XP, coins and progress.
Question 7/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?
If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?
#negative-zero
#coordinate-reading
#x-intercept
#polynomials
A (x=-8)
B (x=8)
C (x=0)
D (x=-1)
Explanation opens after your attempt
Step 1
Concept
The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 2
Why this answer is correct
The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 3
Exam Tip
((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।
Login to save your score, XP, coins and progress.
Question 8/23
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)?
#linear-polynomial
#negative-zero
#x-intercept
#polynomials
A (9)
B (-9)
C (0)
D (18)
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.
Question 9/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(0)=4), तो क्या (0) बहुपद का शून्यक है?
If (p(0)=4), is (0) a zero of the polynomial?
#value-test
#not-zero
#origin
#polynomials
A नहीं / No
B हाँ / Yes
C केवल रैखिक बहुपद में / Only in a linear polynomial
D केवल द्विघात बहुपद में / Only in a quadratic polynomial
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For (0) to be a zero, (p(0)=0) must be true. Here (p(0)=4), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For (0) to be a zero, (p(0)=0) must be true. Here (p(0)=4), so (0) is not a zero.
Step 3
Exam Tip
शून्यक होने के लिए (p(0)=0) होना चाहिए। यहाँ (p(0)=4), इसलिए (0) शून्यक नहीं है।
Login to save your score, XP, coins and progress.
Question 10/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को ((-4,0)) और ((1,0)) पर काटता है, तो शून्यक कौन-से हैं?
If a graph cuts the (x)-axis at ((-4,0)) and ((1,0)), what are the zeroes?
#x-intercepts
#zeroes
#graph-reading
#polynomials
A (-4) और (1) / (-4) and (1)
B (4) और (-1) / (4) and (-1)
C (-4) और (0) / (-4) and (0)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
A. (-4) और (1) / (-4) and (1)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).
Step 2
Why this answer is correct
The correct answer is A. (-4) और (1) / (-4) and (1). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (-4) and (1).
Step 3
Exam Tip
शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-4) और (1) हैं।
Login to save your score, XP, coins and progress.
Question 11/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
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?
#polynomials
#zeroes
#graph
#value-test
A बहुपद का मान / Value of the polynomial
B चर का गुणांक / Coefficient of the variable
C घात का मान / Value of the degree
D स्थिर पद / Constant term
Explanation opens after your attempt
Correct Answer
A. बहुपद का मान / Value 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।
Login to save your score, XP, coins and progress.
Question 12/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी ग्राफ का (x)-अक्ष से कोई साझा बिंदु नहीं है, तो शून्यकों के बारे में क्या निष्कर्ष है?
If a graph has no common point with the (x)-axis, what is the conclusion about its zeroes?
#no-common-point
#no-real-zero
#graph
#polynomials
A कोई वास्तविक शून्यक नहीं / No real zero
B एक वास्तविक शून्यक / One real zero
C दो वास्तविक शून्यक / Two real zeroes
D अनंत वास्तविक शून्यक / Infinite real zeroes
Explanation opens after your attempt
Correct Answer
A. कोई वास्तविक शून्यक नहीं / No real zero
Step 1
Concept
Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 2
Why this answer is correct
The correct answer is A. कोई वास्तविक शून्यक नहीं / No real zero. Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 3
Exam Tip
वास्तविक शून्यक ग्राफ और (x)-अक्ष के साझा बिंदुओं से मिलते हैं। साझा बिंदु न हो तो वास्तविक शून्यक नहीं होगा।
Login to save your score, XP, coins and progress.
Question 13/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी बहुपद का ग्राफ (x)-अक्ष को एक बार काटता और एक बार छूता है, तो अलग-अलग वास्तविक शून्यकों की संख्या क्या होगी?
If a polynomial graph cuts the (x)-axis once and touches it once, how many distinct real zeroes will it have?
#distinct-zeroes
#touching-cutting
#x-axis
#polynomials
A दो / Two
B एक / One
C तीन / Three
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 3
Exam Tip
कटना और छूना दोनों (x)-अक्ष से मिलना है। यदि दोनों बिंदु अलग हैं, तो दो अलग वास्तविक शून्यक होंगे।
Login to save your score, XP, coins and progress.
Question 14/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(a)=0), तो ग्राफ किस बिंदु से अवश्य गुजरेगा?
If (p(a)=0), through which point must the graph pass?
#general-zero
#coordinate
#graph
#polynomials
A ((a,0))
B ((0,a))
C ((a,a))
D ((-a,0))
Explanation opens after your attempt
Correct Answer
A. ((a,0))
Step 1
Concept
(p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).
Step 2
Why this answer is correct
The correct answer is A. ((a,0)). (p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).
Step 3
Exam Tip
(p(a)=0) का अर्थ है (x=a) पर (y=0)। इसलिए ग्राफ ((a,0)) से गुजरेगा।
Login to save your score, XP, coins and progress.
Question 15/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(2)=5), तो क्या (2) बहुपद का शून्यक है?
If (p(2)=5), is (2) a zero of the polynomial?
#value-test
#not-zero
#polynomials
#easy
A नहीं / No
B हाँ / Yes
C केवल द्विघात में / Only in quadratic
D केवल रैखिक में / Only in linear
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
For (2) to be a zero, (p(2)=0) must hold. Here (p(2)=5), so (2) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. For (2) to be a zero, (p(2)=0) must hold. Here (p(2)=5), so (2) is not a zero.
Step 3
Exam Tip
शून्यक होने के लिए (p(2)=0) होना चाहिए। यहाँ (p(2)=5), इसलिए (2) शून्यक नहीं है।
Login to save your score, XP, coins and progress.
Question 16/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि बहुपद के ग्राफ में (x)-अक्ष से कटाव की संख्या (4) है, तो वास्तविक शून्यकों की संख्या क्या होगी?
If the number of intersections of a polynomial graph with the (x)-axis is (4), how many real zeroes are there?
#number-of-zeroes
#x-axis
#graph-reading
#polynomials
A (4)
B (3)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
Each distinct (x)-axis intersection represents one real zero. Therefore (4) intersections give (4) real zeroes.
Step 2
Why this answer is correct
The correct answer is A. (4). Each distinct (x)-axis intersection represents one real zero. Therefore (4) intersections give (4) real zeroes.
Step 3
Exam Tip
प्रत्येक अलग (x)-अक्ष कटाव एक वास्तविक शून्यक बताता है। इसलिए (4) कटावों से (4) वास्तविक शून्यक मिलेंगे।
Login to save your score, XP, coins and progress.
Question 17/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किस ग्राफ से शून्यक (-3) और (2) मिलेंगे?
Which graph will give zeroes (-3) and (2)?
#graph-from-zeroes
#x-intercepts
#polynomials
#easy
A जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0))
B जो (y)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (y)-axis at ((-3,0)) and ((2,0))
C जो (x)-अक्ष को ((0,-3)) और ((0,2)) पर काटे / One that cuts the (x)-axis at ((0,-3)) and ((0,2))
D जो मूल बिंदु से न गुजरे / One that does not pass through origin
Explanation opens after your attempt
Correct Answer
A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0))
Step 1
Concept
If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 2
Why this answer is correct
The correct answer is A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0)). If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 3
Exam Tip
शून्यक (-3) और (2) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((-3,0)) और ((2,0)) होंगे।
Login to save your score, XP, coins and progress.
Question 18/23
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.
Question 19/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को (x=-5) पर काटता है, तो कौन-सा कथन सही है?
If a graph cuts the (x)-axis at (x=-5), which statement is correct?
#negative-zero
#x-intercept
#graph
#polynomials
A (-5) बहुपद का शून्यक है / (-5) is a zero of the polynomial
B (5) बहुपद का शून्यक है / (5) is a zero of the polynomial
C (0) बहुपद का शून्यक है / (0) is a zero of the polynomial
D कोई शून्यक नहीं है / There is no zero
Explanation opens after your attempt
Correct Answer
A. (-5) बहुपद का शून्यक है / (-5) is a zero of the polynomial
Step 1
Concept
The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.
Step 2
Why this answer is correct
The correct answer is A. (-5) बहुपद का शून्यक है / (-5) is a zero of the polynomial. The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.
Step 3
Exam Tip
जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। ऋण चिह्न को अनदेखा न करें।
Login to save your score, XP, coins and progress.
Question 20/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी बहुपद (p(x)) के शून्यक ज्ञात करने के लिए ग्राफ पर कौन-से बिंदु देखे जाते हैं?
Which points on the graph are observed to find the zeroes of a polynomial (p(x))?
#zeroes
#graph-reading
#x-axis
#polynomials
A (x)-अक्ष से मिलने वाले बिंदु / Points meeting the (x)-axis
B (y)-अक्ष से मिलने वाले बिंदु / Points meeting the (y)-axis
C ग्राफ के सभी मोड़ / All turns of the graph
D केवल मूल बिंदु / Only the origin
Explanation opens after your attempt
Correct Answer
A. (x)-अक्ष से मिलने वाले बिंदु / Points meeting the (x)-axis
Step 1
Concept
For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. (x)-अक्ष से मिलने वाले बिंदु / Points meeting the (x)-axis. For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.
Step 3
Exam Tip
शून्यक के लिए (p(x)=0), यानी (y=0) होना चाहिए। (y=0) वाले बिंदु (x)-अक्ष पर होते हैं।
Login to save your score, XP, coins and progress.
Question 21/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किस बिंदु से बहुपद का शून्यक सीधे मिल सकता है?
From which point can the zero of a polynomial be directly found?
#zeroes
#graphical-meaning
#x-axis
#polynomials
A जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis
B जहाँ ग्राफ (y)-अक्ष को काटता है / Where the graph cuts the (y)-axis
C जहाँ ग्राफ ऊपर जाता है / Where the graph goes upward
D जहाँ ग्राफ नीचे जाता है / Where the graph goes downward
Explanation opens after your attempt
Correct Answer
A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis
Step 1
Concept
For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis. For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए और यह स्थिति (x)-अक्ष पर होती है। इसलिए (x)-अक्ष से मिलने वाले बिंदु देखें।
Login to save your score, XP, coins and progress.
Question 22/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=3) पर काटता है, तो उसका शून्यक क्या होगा?
If the graph of a polynomial cuts the (x)-axis at (x=3), what is its zero?
#polynomials
#graph
#zero
#x-intercept
A (3)
B (-3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).
Step 2
Why this answer is correct
The correct answer is A. (3). The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).
Step 3
Exam Tip
जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। इसलिए यहाँ शून्यक (3) है।
Login to save your score, XP, coins and progress.
Question 23/23
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी बहुपद (p(x)) का शून्यक ज्यामितीय रूप से क्या दर्शाता है?
What does a zero of a polynomial (p(x)) represent geometrically?
#polynomials
#zeroes
#geometrical-meaning
#x-axis
A वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis
B वह बिंदु जहाँ ग्राफ (y)-अक्ष को काटता है / The point where the graph cuts the (y)-axis
C ग्राफ का सबसे ऊँचा बिंदु / The highest point of the graph
D ग्राफ का सबसे निचला बिंदु / The lowest point of the graph
Explanation opens after your attempt
Correct Answer
A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis
Step 1
Concept
A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis. A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 3
Exam Tip
किसी बहुपद का शून्यक वह (x)-मान होता है जहाँ (p(x)=0) होता है। ग्राफ में यह (x)-अक्ष पर मिलने वाला बिंदु बताता है।
Login to save your score, XP, coins and progress.