Concept-wise Practice

linear zero MCQ Questions for Class 10

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

Practice Questions

7 questions tagged with linear zero.

संख्या रेखा पर (r(x)=4x+6) का शून्यक किस अंतराल में होगा?

In which interval will the zero of (r(x)=4x+6) lie on the number line?

Explanation opens after your attempt
Correct Answer

A. (-2) और (-1)(-2) and (-1)

Step 1

Concept

From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 2

Why this answer is correct

The correct answer is A. (-2) और (-1) / (-2) and (-1). From (4x+6=0), \(x=-\frac{3}{2}\), which lies between (-2) and (-1). In exams, identify the interval of a negative fraction carefully.

Step 3

Exam Tip

(4x+6=0) से \(x=-\frac{3}{2}\), जो (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का अंतराल सावधानी से पहचानें।

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यदि (p(x)=ax+b) और \(a\neq0\), तो इसका शून्यक क्या है?

If (p(x)=ax+b) and \(a\neq0\), what is its zero?

Explanation opens after your attempt
Correct Answer

A. -\(\frac{b}{a}\)

Step 1

Concept

Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 2

Why this answer is correct

The correct answer is A. -\(\frac{b}{a}\). Putting (ax+b=0) gives \(x=-\frac{b}{a}\). A linear polynomial has exactly one zero.

Step 3

Exam Tip

(ax+b=0) रखने पर \(x=-\frac{b}{a}\) मिलता है। रेखीय बहुपद में केवल एक शून्यक होता है।

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यदि (p(x)=cx+d) और \(c\ne0\), तो इसका शून्य क्या होगा?

If (p(x)=cx+d) and \(c\ne0\), what will be its zero?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{d}{c}\)

Step 1

Concept

From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{d}{c}\). From (cx+d=0), we get \(x=-\frac{d}{c}\). Remember the negative sign in the formula.

Step 3

Exam Tip

(cx+d=0) से \(x=-\frac{d}{c}\) मिलता है। सूत्र में ऋण चिह्न ध्यान रखें।

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(p(x)=9x-27) का शून्य क्या है?

What is the zero of (p(x)=9x-27)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 2

Why this answer is correct

The correct answer is B. (3). From (9x-27=0), we get (x=3). Find the zero of a linear polynomial by solving the equation.

Step 3

Exam Tip

(9x-27=0) से (x=3) मिलता है। रैखिक बहुपद का शून्य समीकरण हल करके निकालें।

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यदि (p(x)=ax+b) और \(a\ne0\), तो इसका शून्य क्या होगा?

If (p(x)=ax+b) and \(a\ne0\), what will be its zero?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{b}{a}\)

Step 1

Concept

From (ax+b=0), we get \(x=-\frac{b}{a}\). Remember the general formula but do not miss the sign.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{b}{a}\). From (ax+b=0), we get \(x=-\frac{b}{a}\). Remember the general formula but do not miss the sign.

Step 3

Exam Tip

(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। सामान्य सूत्र याद रखें लेकिन संकेत न भूलें।

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(p(x)=7x-14) का शून्य क्या है?

What is the zero of (p(x)=7x-14)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). From (7x-14=0), we get (x=2). Solve the equation to find the zero of a linear polynomial.

Step 3

Exam Tip

(7x-14=0) से (x=2) मिलता है। रैखिक बहुपद का शून्य जल्दी निकालने के लिए समीकरण हल करें।

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रेखा (y=-3x-12) का शून्यक क्या है?

What is the zero of the line (y=-3x-12)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

Solving (-3x-12=0) gives (x=-4). Tip: put (y=0) to find the linear zero.

Step 2

Why this answer is correct

The correct answer is B. (-4). Solving (-3x-12=0) gives (x=-4). Tip: put (y=0) to find the linear zero.

Step 3

Exam Tip

(-3x-12=0) से (x=-4) मिलता है। टिप: (y=0) रखकर रैखिक शून्यक निकालें।

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