Question 1/4
Expert Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -2(b-4)x+(b-4)2 ) है, तो ग्राफ (x)-अक्ष को किस (x)-मान पर स्पर्श करेगा?
If (p(x)=x-2 -2(b-4)x+(b-4)2 ), at which (x)-value will the graph touch the (x)-axis?
#symbolic perfect square
#tangent
#zero
A (x=b-4)
B (x=b+4)
C (x=2b-8)
D (x=4-b)
Explanation opens after your attempt
Correct Answer
A. (x=b-4)
Step 1
Concept
It is ((x-(b-4))2 ), so the repeated zero is (b-4). Tip: a perfect square form shows the zero quickly.
Step 2
Why this answer is correct
The correct answer is A. (x=b-4). It is ((x-(b-4))2 ), so the repeated zero is (b-4). Tip: a perfect square form shows the zero quickly.
Step 3
Exam Tip
यह ((x-(b-4))2 ) है इसलिए दोहराया शून्यक (b-4) है। टिप: पूर्ण वर्ग रूप में शून्यक तुरंत दिखता है।
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Question 2/4
Expert Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि (p(x)=x-2 -2(a+3)x+(a+3)2 ) है, तो ग्राफ (x)-अक्ष को किस (x)-मान पर स्पर्श करेगा?
If (p(x)=x-2 -2(a+3)x+(a+3)2 ), at which (x)-value will the graph touch the (x)-axis?
#symbolic perfect square
#tangent
#zero
A (x=a-3)
B (x=a+3)
C (x=2a+6)
D (x=3-a)
Explanation opens after your attempt
Correct Answer
B. (x=a+3)
Step 1
Concept
It is ((x-(a+3))2 ), so the repeated zero is (a+3). Tip: a perfect square form shows the zero quickly.
Step 2
Why this answer is correct
The correct answer is B. (x=a+3). It is ((x-(a+3))2 ), so the repeated zero is (a+3). Tip: a perfect square form shows the zero quickly.
Step 3
Exam Tip
यह ((x-(a+3))2 ) है, इसलिए दोहराया शून्यक (a+3) है। टिप: पूर्ण वर्ग रूप में शून्यक तुरंत दिखता है।
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Question 3/4
Hard Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि (p(x)=x-2 -6kx+9k-2 ) है तो ग्राफ (x)-अक्ष को किस (x)-मान पर स्पर्श करेगा?
If (p(x)=x-2 -6kx+9k-2 ), at which (x)-value will the graph touch the (x)-axis?
#symbolic perfect square
#tangent
#zero
A (x=k)
B (x=3k)
C (x=-3k)
D (x=6k)
Explanation opens after your attempt
Step 1
Concept
It is ((x-3k)2 ), so the repeated zero is (3k). Tip: identify the perfect square form quickly.
Step 2
Why this answer is correct
The correct answer is B. (x=3k). It is ((x-3k)2 ), so the repeated zero is (3k). Tip: identify the perfect square form quickly.
Step 3
Exam Tip
यह ((x-3k)2 ) है इसलिए दोहराया शून्यक (3k) है। टिप: पूर्ण वर्ग रूप को तुरंत पहचानें।
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Question 4/4
Hard Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)=x-2 -4kx+4k-2 ) है, तो ग्राफ (x)-अक्ष को किस (x)-मान पर स्पर्श करेगा?
If (p(x)=x-2 -4kx+4k-2 ), at which (x)-value will the graph touch the (x)-axis?
#symbolic perfect square
#tangent
#zero
A (x=k)
B (x=2k)
C (x=-2k)
D (x=4k)
Explanation opens after your attempt
Step 1
Concept
It is ((x-2k)2 ), so the repeated zero is (2k). Tip: recognizing a perfect square is a quick method.
Step 2
Why this answer is correct
The correct answer is B. (x=2k). It is ((x-2k)2 ), so the repeated zero is (2k). Tip: recognizing a perfect square is a quick method.
Step 3
Exam Tip
यह ((x-2k)2 ) है इसलिए दोहराया शून्यक (2k) है। टिप: पूर्ण वर्ग पहचानना तेज तरीका है।
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