Search Class 10 Questions

5 results found for "sign analysis" in Class 10.

Question 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।

Open Question Page
Ask Friends
Question 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।

Open Question Page
Ask Friends
Question 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।

Open Question Page
Ask Friends
Question 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।

Open Question Page
Ask Friends
Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=-(x-1)(x-5)) है, तो (1<x<5) के लिए ग्राफ (x)-अक्ष के किस ओर होगा?

If (p(x)=-(x-1)(x-5)), on which side of the (x)-axis will the graph lie for (1<x<5)?

Explanation opens after your attempt
Correct Answer

A. ऊपरAbove

Step 1

Concept

Between them ((x-1)) is positive and ((x-5)) is negative, and the outside negative makes the value positive. Tip: graph position is decided by the sign of (p(x)).

Step 2

Why this answer is correct

The correct answer is A. ऊपर / Above. Between them ((x-1)) is positive and ((x-5)) is negative, and the outside negative makes the value positive. Tip: graph position is decided by the sign of (p(x)).

Step 3

Exam Tip

बीच में ((x-1)) धनात्मक और ((x-5)) ऋणात्मक है, बाहर का ऋण चिन्ह मान को धनात्मक बनाता है। टिप: ग्राफ की स्थिति (p(x)) के चिह्न से तय करें।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.