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4 results found for "zero_product" in Class 10.

Question Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि (x+6) और (x-2) किसी द्विघात समीकरण के गुणनखंड हैं तो उसके मूल कौन से हैं?

If (x+6) and (x-2) are factors of a quadratic equation, what are its roots?

Explanation opens after your attempt
Correct Answer

A. (-6) और (2)(-6) and (2)

Step 1

Concept

From (x+6=0), (x=-6), and from (x-2=0), (x=2). The sign changes when finding a root from a factor.

Step 2

Why this answer is correct

The correct answer is A. (-6) और (2) / (-6) and (2). From (x+6=0), (x=-6), and from (x-2=0), (x=2). The sign changes when finding a root from a factor.

Step 3

Exam Tip

(x+6=0) से (x=-6) और (x-2=0) से (x=2) मिलता है। गुणनखंड से मूल निकालते समय चिन्ह बदलता है।

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Question Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि (x-4) और (x+7) किसी द्विघात समीकरण के गुणनखंड हैं तो उसके मूल कौन से हैं?

If (x-4) and (x+7) are factors of a quadratic equation, what are its roots?

Explanation opens after your attempt
Correct Answer

A. (4) और (-7)(4) and (-7)

Step 1

Concept

From (x-4=0), (x=4), and from (x+7=0), (x=-7). The sign changes when finding a root from a factor.

Step 2

Why this answer is correct

The correct answer is A. (4) और (-7) / (4) and (-7). From (x-4=0), (x=4), and from (x+7=0), (x=-7). The sign changes when finding a root from a factor.

Step 3

Exam Tip

(x-4=0) से (x=4) और (x+7=0) से (x=-7) मिलता है। गुणनखंड का चिन्ह उलटकर मूल मिलता है।

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Question Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि किसी द्विघात समीकरण के मूलों का गुणनफल (0) है तो सही कथन कौन सा है?

If the product of roots of a quadratic equation is (0), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. कम से कम एक मूल (0) हैAt least one root is (0)

Step 1

Concept

If \(\alpha\beta=0\), then \(\alpha=0\) or \(\beta=0\). If the product is zero, always check for a zero root.

Step 2

Why this answer is correct

The correct answer is A. कम से कम एक मूल (0) है / At least one root is (0). If \(\alpha\beta=0\), then \(\alpha=0\) or \(\beta=0\). If the product is zero, always check for a zero root.

Step 3

Exam Tip

यदि \(\alpha\beta=0\) है तो \(\alpha=0\) या \(\beta=0\) होगा। गुणनफल शून्य हो तो शून्य मूल जरूर देखें।

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Question Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि (x+2) और (x-5) किसी द्विघात समीकरण के गुणनखंड हैं तो उसके मूल कौन से हैं?

If (x+2) and (x-5) are factors of a quadratic equation, what are its roots?

Explanation opens after your attempt
Correct Answer

A. (-2) और (5)(-2) and (5)

Step 1

Concept

From (x+2=0), (x=-2), and from (x-5=0), (x=5). The sign changes when finding a root from a factor.

Step 2

Why this answer is correct

The correct answer is A. (-2) और (5) / (-2) and (5). From (x+2=0), (x=-2), and from (x-5=0), (x=5). The sign changes when finding a root from a factor.

Step 3

Exam Tip

(x+2=0) से (x=-2) और (x-5=0) से (x=5) मिलता है। गुणनखंड का चिन्ह उलटकर मूल मिलता है।

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