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cubic graph MCQ Questions for Class 10

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5 questions tagged with cubic graph.

Question 1/5 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x-4)(x-9)(x-15)) है, तो (4<x<9) में ग्राफ कहाँ होगा?

If (p(x)=(x-4)(x-9)(x-15)), where will the graph be for (4<x<9)?

Explanation opens after your attempt
Correct Answer

A. (x)-अक्ष के ऊपरAbove the (x)-axis

Step 1

Concept

In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष के ऊपर / Above the (x)-axis. In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 3

Exam Tip

इस अंतराल में चिह्न (+), (-), (-) हैं, इसलिए गुणनफल धनात्मक है। टिप: दो ऋणात्मक कारकों का गुणन धनात्मक होता है।

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Question 2/5 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=(x-3)(x-6)(x-11)) है, तो (3<x<6) में ग्राफ कहाँ होगा?

If (p(x)=(x-3)(x-6)(x-11)), where will the graph be for (3<x<6)?

Explanation opens after your attempt
Correct Answer

A. (x)-अक्ष के ऊपरAbove the (x)-axis

Step 1

Concept

In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष के ऊपर / Above the (x)-axis. In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 3

Exam Tip

इस अंतराल में चिह्न (+), (-), (-) हैं, इसलिए गुणनफल धनात्मक है। टिप: दो ऋणात्मक कारकों का गुणन धनात्मक होता है।

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Question 3/5 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=(x-2)(x-5)(x-9)) है तो (2<x<5) में ग्राफ कहाँ होगा?

If (p(x)=(x-2)(x-5)(x-9)), where will the graph be for (2<x<5)?

Explanation opens after your attempt
Correct Answer

A. (x)-अक्ष के ऊपरAbove the (x)-axis

Step 1

Concept

In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष के ऊपर / Above the (x)-axis. In this interval the signs are (+), (-), (-), so the product is positive. Tip: the product of two negative factors is positive.

Step 3

Exam Tip

इस अंतराल में चिह्न (+), (-), (-) हैं इसलिए गुणनफल धनात्मक है। टिप: दो ऋणात्मक कारकों का गुणन धनात्मक होता है।

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Question 4/5 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=(x-1)(x-3)(x-5)) है, तो (1<x<3) में ग्राफ कहाँ होगा?

If (p(x)=(x-1)(x-3)(x-5)), where will the graph be for (1<x<3)?

Explanation opens after your attempt
Correct Answer

A. (x)-अक्ष के ऊपरAbove the (x)-axis

Step 1

Concept

In this interval the signs are (+), (-), (-), so the product is positive. Tip: an odd number of negative factors gives a negative value.

Step 2

Why this answer is correct

The correct answer is A. (x)-अक्ष के ऊपर / Above the (x)-axis. In this interval the signs are (+), (-), (-), so the product is positive. Tip: an odd number of negative factors gives a negative value.

Step 3

Exam Tip

इस अंतराल में चिह्न (+), (-), (-) हैं, इसलिए गुणनफल धनात्मक है। टिप: विषम संख्या ऋणात्मक कारकों से मान ऋणात्मक होता है।

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Question 5/5 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी घन बहुपद का ग्राफ (x)-अक्ष को केवल एक बार काटता है, तो वास्तविक शून्यकों की संख्या क्या मानी जाएगी?

If the graph of a cubic polynomial cuts the (x)-axis only once, what is the number of real zeroes?

Explanation opens after your attempt
Correct Answer

A. एकOne

Step 1

Concept

There is only one intersection, so there is one real zero. Tip: a cubic can have at most three real zeroes, not necessarily three.

Step 2

Why this answer is correct

The correct answer is A. एक / One. There is only one intersection, so there is one real zero. Tip: a cubic can have at most three real zeroes, not necessarily three.

Step 3

Exam Tip

कटान केवल एक है इसलिए एक वास्तविक शून्यक है। टिप: घन बहुपद में अधिकतम तीन वास्तविक शून्यक हो सकते हैं, जरूरी नहीं कि तीन हों।

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