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3 questions tagged with mean.

Question 1/3 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-3-9x-2+18x) है, तो ग्राफ के शून्यकों का माध्य क्या है?

If (p(x)=x-3-9x-2+18x), what is the mean of the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.

Step 2

Why this answer is correct

The correct answer is A. (3). (p(x)=x(x-3)(x-6)), so the zeroes are (0), (3), (6), and the mean is (3). Tip: factor first.

Step 3

Exam Tip

(p(x)=x(x-3)(x-6)) है इसलिए शून्यक (0), (3), (6) और माध्य (3) है। टिप: पहले गुणनखंड करें।

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Question 2/3 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-3-7x-2+10x) है, तो ग्राफ के शून्यकों का माध्य क्या है?

If (p(x)=x-3-7x-2+10x), what is the mean of the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{3}\)

Step 1

Concept

(p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{3}\). (p(x)=x(x-5)(x-2)), so the zeroes are (0), (2), (5), and the mean is \(\frac{7}{3}\). Tip: factor first.

Step 3

Exam Tip

(p(x)=x(x-5)(x-2)) है, इसलिए शून्यक (0), (2), (5) और माध्य \(\frac{7}{3}\) है। टिप: पहले गुणनखंड करें।

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Question 3/3 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि ग्राफ के (x)-अक्ष कटान ((m,0)), ((n,0)), ((r,0)) हैं तो शून्यकों का माध्य क्या होगा?

If the (x)-axis intersections of a graph are ((m,0)), ((n,0)), ((r,0)), what will be the mean of the zeroes?

Explanation opens after your attempt
Correct Answer

B. \(\frac{m+n+r}{3}\)

Step 1

Concept

The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{m+n+r}{3}\). The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.

Step 3

Exam Tip

शून्यक (m), (n), (r) हैं इसलिए माध्य \(\frac{m+n+r}{3}\) है। टिप: प्रतीकात्मक बिंदुओं में भी पहला निर्देशांक लें।

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