Concept-wise Practice

function equation MCQ Questions for Class 12

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

Practice Questions

6 questions tagged with function equation.

यदि (f(x)=x-2-3) और (f(a)=13), जहाँ (a>0), तो (a) क्या होगा?

If (f(x)=x-2-3) and (f(a)=13), where (a>0), what is (a)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(f(a)=a-2-3).

Step 2

Why this answer is correct

From \(a^2-3=13\), we get \(a^2=16\).

Step 3

Exam Tip

Since (a>0), (a=4). चरण 1: (f(a)=a-2-3) है। चरण 2: \(a^2-3=13\) से \(a^2=16\)। चरण 3: (a>0) दिया है, इसलिए (a=4)।

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यदि (f(x)=6x+2) और (f(a)=38), तो (a) का मान क्या होगा?

If (f(x)=6x+2) and (f(a)=38), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

(f(a)=6a+2).

Step 2

Why this answer is correct

From (6a+2=38), we get (6a=36).

Step 3

Exam Tip

Therefore (a=6). चरण 1: (f(a)=6a+2) होगा। चरण 2: (6a+2=38) से (6a=36)। चरण 3: इसलिए (a=6)।

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यदि (f(x)=x-2+2) और (f(a)=18), जहाँ (a>0), तो (a) क्या होगा?

If (f(x)=x-2+2) and (f(a)=18), where (a>0), what is (a)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(f(a)=a-2+2).

Step 2

Why this answer is correct

From \(a^2+2=18\), we get \(a^2=16\).

Step 3

Exam Tip

Since (a>0), (a=4). चरण 1: (f(a)=a-2+2) है। चरण 2: \(a^2+2=18\) से \(a^2=16\)। चरण 3: (a>0) दिया है, इसलिए (a=4)।

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यदि (f(x)=4x-1) और (f(a)=19), तो (a) का मान क्या होगा?

If (f(x)=4x-1) and (f(a)=19), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

(f(a)=4a-1).

Step 2

Why this answer is correct

From (4a-1=19), we get (4a=20).

Step 3

Exam Tip

Therefore (a=5). चरण 1: (f(a)=4a-1) होगा। चरण 2: (4a-1=19) से (4a=20)। चरण 3: इसलिए (a=5)।

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यदि (f(x)=x-2-1) और (f(a)=8), जहाँ (a>0), तो (a) क्या होगा?

If (f(x)=x-2-1) and (f(a)=8), where (a>0), what is (a)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(f(a)=a-2-1).

Step 2

Why this answer is correct

From \(a^2-1=8\), we get \(a^2=9\).

Step 3

Exam Tip

Since (a>0), (a=3). चरण 1: (f(a)=a-2-1) है। चरण 2: \(a^2-1=8\) से \(a^2=9\) मिलता है। चरण 3: (a>0) दिया है, इसलिए (a=3) होगा।

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यदि (f(x)=2x+3) और (f(a)=11), तो (a) का मान क्या होगा?

If (f(x)=2x+3) and (f(a)=11), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(f(a)=2a+3).

Step 2

Why this answer is correct

Given (2a+3=11), so (2a=8).

Step 3

Exam Tip

Hence (a=4). चरण 1: (f(a)=2a+3) होगा। चरण 2: दिया है (2a+3=11), इसलिए (2a=8)। चरण 3: अतः (a=4)।

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