Question 1/5
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।
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Question 2/5
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि किसी ग्राफ में ((4,2)) बिंदु है, तो क्या (4) शून्यक है?
If a graph has the point ((4,2)), is (4) a zero?
#point-test
#not-zero
#graph
#easy
A नहीं / No
B हाँ / Yes
C केवल यदि बहुपद द्विघात हो / Only if the polynomial is quadratic
D केवल यदि ग्राफ रेखा हो / Only if the graph is a line
Explanation opens after your attempt
Correct Answer
A. नहीं / No
Step 1
Concept
In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं / No. In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.
Step 3
Exam Tip
((4,2)) में (y=2) है, (0) नहीं। इसलिए (x=4) शून्यक नहीं है।
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Question 3/5
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(5)\neq 0), तो (5) के बारे में क्या कहा जाएगा?
If (p(5)\neq 0), what can be said about (5)?
#not-zero
#value-test
#polynomial
#easy
A (5) शून्यक नहीं है / (5) is not a zero
B (5) शून्यक है / (5) is a zero
C (5) हमेशा दोहरा शून्यक है / (5) is always a repeated zero
D जानकारी अपूर्ण है / Information is incomplete
Explanation opens after your attempt
Correct Answer
A. (5) शून्यक नहीं है / (5) is not a zero
Step 1
Concept
For (5) to be a zero, (p(5)=0) is necessary. If (p(5)\neq 0), then (5) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. (5) शून्यक नहीं है / (5) is not a zero. For (5) to be a zero, (p(5)=0) is necessary. If (p(5)\neq 0), then (5) is not a zero.
Step 3
Exam Tip
शून्यक होने के लिए (p(5)=0) जरूरी है। यदि (p(5)\neq 0), तो (5) शून्यक नहीं है।
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Question 4/5
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।
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Question 5/5
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।
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