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94 questions tagged with degree.

Question 91/94 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि बहुपद का ग्राफ (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो डिग्री के बारे में कौन सा कथन सही है?

If the graph of a polynomial cuts the (x)-axis at four distinct points, which statement about its degree is correct?

Explanation opens after your attempt
Correct Answer

A. डिग्री कम से कम (4) होगीThe degree is at least (4)

Step 1

Concept

Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is A. डिग्री कम से कम (4) होगी / The degree is at least (4). Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यक के लिए डिग्री कम से कम चार चाहिए। शून्यकों की संख्या डिग्री से अधिक नहीं होती।

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Question 92/94 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

एक ग्राफ (x)-अक्ष को तीन बार काटता है। उस बहुपद की न्यूनतम संभावित डिग्री क्या हो सकती है?

A graph cuts the (x)-axis three times. What can be the minimum possible degree of that polynomial?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 3

Exam Tip

किसी बहुपद के वास्तविक शून्यकों की संख्या उसकी डिग्री से अधिक नहीं हो सकती। तीन कटान के लिए न्यूनतम डिग्री (3) है।

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Question 93/94 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को तीन अलग बिंदुओं पर काटता है, तो बहुपद की न्यूनतम संभावित घात क्या हो सकती है?

If a polynomial graph cuts the (x)-axis at three distinct points, what can be the minimum possible degree of the polynomial?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (3). For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

तीन अलग वास्तविक शून्यकों के लिए घात कम से कम (3) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question 94/94 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को चार बार काटता दिखे, तो यह किस प्रकार के बहुपद के लिए संभव हो सकता है?

If a polynomial graph appears to cut the (x)-axis four times, for which type of polynomial can this be possible?

Explanation opens after your attempt
Correct Answer

C. चतुर्थ घात बहुपदFourth degree polynomial

Step 1

Concept

A degree (4) polynomial can have at most (4) real zeroes. Tip: the number of real zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. चतुर्थ घात बहुपद / Fourth degree polynomial. A degree (4) polynomial can have at most (4) real zeroes. Tip: the number of real zeroes cannot exceed the degree.

Step 3

Exam Tip

घात (4) वाला बहुपद अधिकतम (4) वास्तविक शून्यक रख सकता है। टिप: वास्तविक शून्यकों की संख्या घात से अधिक नहीं होती।

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