Question 1/6
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 +20x+100) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?
If (p(x)=x-2 +20x+100), at which point will the graph touch the (x)-axis?
#perfect square
#touching point
#graph
A ((-10,0))
B ((10,0))
C ((20,0))
D ((0,100))
Explanation opens after your attempt
Correct Answer
A. ((-10,0))
Step 1
Concept
(x-2 +20x+100=(x+10)2 ), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.
Step 2
Why this answer is correct
The correct answer is A. ((-10,0)). (x-2 +20x+100=(x+10)2 ), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.
Step 3
Exam Tip
(x-2 +20x+100=(x+10)2 ) है, इसलिए स्पर्श बिंदु ((-10,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।
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Question 2/6
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -18x+81) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?
If (p(x)=x-2 -18x+81), at which point will the graph touch the (x)-axis?
#perfect square
#touching point
#graph
A ((9,0))
B ((-9,0))
C ((18,0))
D ((0,81))
Explanation opens after your attempt
Correct Answer
A. ((9,0))
Step 1
Concept
(x-2 -18x+81=(x-9)2 ), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.
Step 2
Why this answer is correct
The correct answer is A. ((9,0)). (x-2 -18x+81=(x-9)2 ), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.
Step 3
Exam Tip
(x-2 -18x+81=(x-9)2 ) है, इसलिए स्पर्श बिंदु ((9,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।
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Question 3/6
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 +14x+49) है तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?
If (p(x)=x-2 +14x+49), at which point will the graph touch the (x)-axis?
#perfect square
#touching point
#graph
A ((-7,0))
B ((7,0))
C ((14,0))
D ((0,49))
Explanation opens after your attempt
Correct Answer
A. ((-7,0))
Step 1
Concept
(x-2 +14x+49=(x+7)2 ), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.
Step 2
Why this answer is correct
The correct answer is A. ((-7,0)). (x-2 +14x+49=(x+7)2 ), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.
Step 3
Exam Tip
(x-2 +14x+49=(x+7)2 ) है इसलिए स्पर्श बिंदु ((-7,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।
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Question 4/6
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -12x+36) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?
If (p(x)=x-2 -12x+36), at which point will the graph touch the (x)-axis?
#perfect square
#touching point
#graph
A ((6,0))
B ((-6,0))
C ((12,0))
D ((0,36))
Explanation opens after your attempt
Correct Answer
A. ((6,0))
Step 1
Concept
(x-2 -12x+36=(x-6)2 ), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.
Step 2
Why this answer is correct
The correct answer is A. ((6,0)). (x-2 -12x+36=(x-6)2 ), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.
Step 3
Exam Tip
(x-2 -12x+36=(x-6)2 ) है, इसलिए स्पर्श बिंदु ((6,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।
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Question 5/6
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 +8x+16) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?
If (p(x)=x-2 +8x+16), at which point will the graph touch the (x)-axis?
#perfect square
#touching point
#graph
A ((-4,0))
B ((4,0))
C ((-8,0))
D ((0,16))
Explanation opens after your attempt
Correct Answer
A. ((-4,0))
Step 1
Concept
(x-2 +8x+16=(x+4)2 ), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.
Step 2
Why this answer is correct
The correct answer is A. ((-4,0)). (x-2 +8x+16=(x+4)2 ), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.
Step 3
Exam Tip
(x-2 +8x+16=(x+4)2 ), इसलिए स्पर्श बिंदु ((-4,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।
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Question 6/6
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
एक बहुपद का ग्राफ (x)-अक्ष को केवल ((-2,0)) पर छूता है। अलग वास्तविक शून्यक कौन-सा है?
A polynomial graph only touches the (x)-axis at ((-2,0)). What is the distinct real zero?
#touching-point
#distinct-zero
#graph
#easy
A (-2)
B (2)
C (0)
D कोई नहीं / None
Explanation opens after your attempt
Step 1
Concept
A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).
Step 2
Why this answer is correct
The correct answer is A. (-2). A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).
Step 3
Exam Tip
छूने वाला बिंदु भी (p(x)=0) देता है। इसलिए अलग वास्तविक शून्यक (-2) है।
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