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reciprocal-product MCQ Questions for Class 11

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3 questions tagged with reciprocal-product.

Question 1/3 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{\cosec x-\cot x}\) किसके बराबर है?

What is \(\frac{1}{\cosec x-\cot x}\) equal to?

Explanation opens after your attempt
Correct Answer

C. \(\cosec x+\cot x\)

Step 1

Concept

Since (\(\cosec x-\cot x\)\(\cosec x+\cot x\)=1). Hence the required reciprocal is \(\cosec x+\cot x\).

Step 2

Why this answer is correct

The correct answer is C. \(\cosec x+\cot x\). Since (\(\cosec x-\cot x\)\(\cosec x+\cot x\)=1). Hence the required reciprocal is \(\cosec x+\cot x\).

Step 3

Exam Tip

क्योंकि (\(\cosec x-\cot x\)\(\cosec x+\cot x\)=1)। इसलिए आवश्यक व्युत्क्रम \(\cosec x+\cot x\) है।

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Question 2/3 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{\sec x+\tan x}\) किसके बराबर है?

What is \(\frac{1}{\sec x+\tan x}\) equal to?

Explanation opens after your attempt
Correct Answer

B. \(\sec x-\tan x\)

Step 1

Concept

Since (\(\sec x+\tan x\)\(\sec x-\tan x\)=1). Therefore, the reciprocal is \(\sec x-\tan x\).

Step 2

Why this answer is correct

The correct answer is B. \(\sec x-\tan x\). Since (\(\sec x+\tan x\)\(\sec x-\tan x\)=1). Therefore, the reciprocal is \(\sec x-\tan x\).

Step 3

Exam Tip

क्योंकि (\(\sec x+\tan x\)\(\sec x-\tan x\)=1)। इसलिए व्युत्क्रम \(\sec x-\tan x\) होगा।

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Question 3/3 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\sec x-\tan x=\frac{1}{4}\), तो \(\sec x+\tan x\) का मान क्या है?

If \(\sec x-\tan x=\frac{1}{4}\), what is the value of \(\sec x+\tan x\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Since (\(\sec x-\tan x\)\(\sec x+\tan x\)=1). Hence the other factor is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). Since (\(\sec x-\tan x\)\(\sec x+\tan x\)=1). Hence the other factor is (4).

Step 3

Exam Tip

क्योंकि (\(\sec x-\tan x\)\(\sec x+\tan x\)=1) होता है। इसलिए दूसरा गुणनखंड (4) होगा।

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