Concept-wise Practice

sign MCQ Questions for Class 10

sign se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

4 questions tagged with sign.

यदि (p(x)=x-2+rx+9) के दोनों शून्यक समान और ऋणात्मक हैं, तो (r) का मान क्या होगा?

If both zeroes of (p(x)=x-2+rx+9) are equal and negative, what is the value of (r)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

For equal zeroes, \(r^2-36=0\), so \(r=\pm6\). For negative zeroes the sum must be positive (6), hence (r=6).

Step 2

Why this answer is correct

The correct answer is A. (6). For equal zeroes, \(r^2-36=0\), so \(r=\pm6\). For negative zeroes the sum must be positive (6), hence (r=6).

Step 3

Exam Tip

समान शून्यकों के लिए \(r^2-36=0\), अतः \(r=\pm6\)। ऋणात्मक शून्यक के लिए योग धनात्मक (6) होना चाहिए, इसलिए (r=6)।

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(p(x)=5x-3-8x-2+13x-21) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in (p(x)=5x-3-8x-2+13x-21)?

Explanation opens after your attempt
Correct Answer

B. (-8)

Step 1

Concept

The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.

Step 2

Why this answer is correct

The correct answer is B. (-8). The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.

Step 3

Exam Tip

\(x^2\) वाले पद \(-8x^2\) का गुणांक (-8) है। संकेत सहित गुणांक लिखना जरूरी है।

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\(8x^3-5x^2+4\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(8x^3-5x^2+4\)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.

Step 2

Why this answer is correct

The correct answer is B. (-5). The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.

Step 3

Exam Tip

\(x^2\) वाला पद \(-5x^2\) है, इसलिए गुणांक (-5) है। चिह्न को गुणांक के साथ लिखें।

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किस समीकरण के मूलों का गुणनफल ऋणात्मक होगा?

Which equation will have a negative product of roots?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+3x-5=0\)

Step 1

Concept

The product of roots is \(\frac{c}{a}\). In the first option, \(\frac{-5}{2}<0\), so the product is negative.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+3x-5=0\). The product of roots is \(\frac{c}{a}\). In the first option, \(\frac{-5}{2}<0\), so the product is negative.

Step 3

Exam Tip

मूलों का गुणनफल \(\frac{c}{a}\) है। पहले विकल्प में \(\frac{-5}{2}<0\), इसलिए गुणनफल ऋणात्मक है।

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