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linear form MCQ Questions for Class 10

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4 questions tagged with linear form.

Question 1/4 Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि \(a_n=An+B\), \(a_2=11\) और \(a_5=26\), तो सामान्य अंतर क्या है?

If \(a_n=An+B\), \(a_2=11\) and \(a_5=26\), what is the common difference?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

\(a_5-a_2=3d=15\), so (d=5). In exams, even for a linear form, (d) can be found from term differences.

Step 2

Why this answer is correct

The correct answer is C. (5). \(a_5-a_2=3d=15\), so (d=5). In exams, even for a linear form, (d) can be found from term differences.

Step 3

Exam Tip

\(a_5-a_2=3d=15\), इसलिए (d=5)। परीक्षा में रैखिक रूप में भी पदों के अंतर से (d) निकाला जा सकता है।

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Question 2/4 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=ax+b) में यदि \(a\ne0\) है, तो इसकी घात क्या होती है?

In (p(x)=ax+b), if \(a\ne0\), what is its degree?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (1). When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 3

Exam Tip

\(a\ne0\) होने पर (x) वाला पद मौजूद है, इसलिए घात (1) है। यही रैखिक बहुपद का रूप है।

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Question 3/4 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

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

If (p(x)=ax+b) and \(a\neq0\), what is the degree of (p(x))?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 3

Exam Tip

\(a\neq0\) होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है।

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Question 4/4 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 15

यदि \(a+b\sqrt{2}=0\) है जहां (a) और (b) परिमेय हैं तथा \(b\neq 0\) है तो क्या निष्कर्ष निकलेगा?

If \(a+b\sqrt{2}=0\) where (a) and (b) are rational and \(b\neq 0\) then what conclusion follows?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}=-\frac{a}{b}\) परिमेय होगा जो असंभव है\(\sqrt{2}=-\frac{a}{b}\) would be rational which is impossible

Step 1

Concept

The equation gives \(\sqrt{2}=-\frac{a}{b}\).

Step 2

Why this answer is correct

\(-\frac{a}{b}\) is rational but \(\sqrt{2}\) is irrational.

Step 3

Exam Tip

Such questions use irrationality to create a contradiction. चरण 1: समीकरण से \(\sqrt{2}=-\frac{a}{b}\) मिलेगा। चरण 2: \(-\frac{a}{b}\) परिमेय है लेकिन \(\sqrt{2}\) अपरिमेय है। चरण 3: ऐसे प्रश्नों में अपरिमेयता से विरोधाभास बनता है।

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