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2 results found for "opposites" in Class 10.

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

यदि \(x^2+bx+c=0\) की जड़ें एक-दूसरे की विपरीत संख्याएँ हैं, तो कौन-सी शर्त अनिवार्य है?

If the roots of \(x^2+bx+c=0\) are opposites of each other, which condition is necessary?

Explanation opens after your attempt
Correct Answer

A. (b=0)

Step 1

Concept

Opposite roots have sum (0). Here the sum is (-b), so (b=0).

Step 2

Why this answer is correct

The correct answer is A. (b=0). Opposite roots have sum (0). Here the sum is (-b), so (b=0).

Step 3

Exam Tip

विपरीत जड़ों का योग (0) होता है। यहाँ योग (-b) है, इसलिए (b=0)।

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Question Easy Mathematics Real Numbers Irrational numbers Class 10 Level 14

\(\sqrt{5}\) और \(-\sqrt{5}\) का योग क्या है?

What is the sum of \(\sqrt{5}\) and \(-\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The two terms are opposites of each other.

Step 2

Why this answer is correct

(\sqrt{5}+\(-\sqrt{5}\)=0).

Step 3

Exam Tip

The sum of opposite terms is always zero. चरण 1: दोनों पद एक-दूसरे के विपरीत हैं। चरण 2: (\sqrt{5}+\(-\sqrt{5}\)=0)। चरण 3: विपरीत पदों का योग हमेशा शून्य होता है।

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