Question 1/3
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि किसी द्विघात का ग्राफ (x)-अक्ष को ((m,0)) और ((n,0)) पर काटता है तो कौन सा बहुपद उन्हीं शून्यकों वाला हो सकता है?
If a quadratic graph cuts the (x)-axis at ((m,0)) and ((n,0)), which polynomial can have the same zeroes?
#factor-form
#symbolic
#quadratic
A (k(x-m)(x-n)), जहाँ \(k\neq0\) / (k(x-m)(x-n)), where \(k\neq0\)
B (k(x+m)(x+n)) हमेशा / (k(x+m)(x+n)) always
C (k(x-m+n))
D (k\(x^2+m+n\))
Explanation opens after your attempt
Correct Answer
A. (k(x-m)(x-n)), जहाँ \(k\neq0\) / (k(x-m)(x-n)), where \(k\neq0\)
Step 1
Concept
For zeroes (m) and (n), the factors are ((x-m)) and ((x-n)). A non-zero multiplier does not change zeroes.
Step 2
Why this answer is correct
The correct answer is A. (k(x-m)(x-n)), जहाँ \(k\neq0\) / (k(x-m)(x-n)), where \(k\neq0\). For zeroes (m) and (n), the factors are ((x-m)) and ((x-n)). A non-zero multiplier does not change zeroes.
Step 3
Exam Tip
शून्यक (m) और (n) के लिए गुणनखंड ((x-m)) और ((x-n)) होते हैं। गैर शून्य गुणक शून्यक नहीं बदलता।
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Question 2/3
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
किसी बहुपद का ग्राफ (x)-अक्ष को ((r,0)) पर मिलता है। कौन सा कथन हमेशा सत्य है?
A polynomial graph meets the (x)-axis at ((r,0)). Which statement is always true?
#symbolic
#definition
#x-intercept
A (p(r)=0)
B (p(0)=r)
C (r=0)
D (p(r)=r)
Explanation opens after your attempt
Correct Answer
A. (p(r)=0)
Step 1
Concept
((r,0)) means (y=0) when (x=r). This is the definition of a zero.
Step 2
Why this answer is correct
The correct answer is A. (p(r)=0). ((r,0)) means (y=0) when (x=r). This is the definition of a zero.
Step 3
Exam Tip
((r,0)) का अर्थ (x=r) पर (y=0) है। यही शून्यक की परिभाषा है।
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Question 3/3
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी बहुपद के ग्राफ का (x)-अक्ष कटान ((0,0)) और ((a,0)) है, जहाँ \(a\neq0\), तो शून्यकों का गुणनफल क्या होगा?
If a polynomial graph has (x)-axis intersections ((0,0)) and ((a,0)), where \(a\neq0\), what will be the product of the zeroes?
#origin
#product of zeroes
#symbolic
A (a)
B (0)
C \(a^2\)
D (-a)
Explanation opens after your attempt
Step 1
Concept
The zeroes are (0) and (a), so the product is (0). Tip: if (0) is included, the product is (0).
Step 2
Why this answer is correct
The correct answer is B. (0). The zeroes are (0) and (a), so the product is (0). Tip: if (0) is included, the product is (0).
Step 3
Exam Tip
शून्यक (0) और (a) हैं, इसलिए गुणनफल (0) है। टिप: (0) शामिल हो तो गुणनफल (0) होगा।
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