Concept-wise Practice

quadrants MCQ Questions for Class 11

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

Practice Questions

24 questions tagged with quadrants.

(\tan\(2\pi-x\)) किसके बराबर है?

What is (\tan\(2\pi-x\)) equal to?

Explanation opens after your attempt
Correct Answer

B. -\(\tan x\)

Step 1

Concept

In the fourth quadrant, \(\tan x\) is negative. Therefore, (\tan\(2\pi-x\)=-\tan x).

Step 2

Why this answer is correct

The correct answer is B. -\(\tan x\). In the fourth quadrant, \(\tan x\) is negative. Therefore, (\tan\(2\pi-x\)=-\tan x).

Step 3

Exam Tip

चौथे चतुर्थांश में \(\tan x\) ऋणात्मक होता है। इसलिए (\tan\(2\pi-x\)=-\tan x)।

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(\cos\(2\pi-x\)) किसके बराबर है?

What is (\cos\(2\pi-x\)) equal to?

Explanation opens after your attempt
Correct Answer

C. \(\cos x\)

Step 1

Concept

\(2\pi-x\) lies in the fourth quadrant and \(\cos x\) remains positive. Hence (\cos\(2\pi-x\)=\cos x).

Step 2

Why this answer is correct

The correct answer is C. \(\cos x\). \(2\pi-x\) lies in the fourth quadrant and \(\cos x\) remains positive. Hence (\cos\(2\pi-x\)=\cos x).

Step 3

Exam Tip

\(2\pi-x\) चौथे चतुर्थांश में आता है और \(\cos x\) धनात्मक रहता है। इसलिए (\cos\(2\pi-x\)=\cos x)।

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(\sin\(2\pi-x\)) किसके बराबर है?

What is (\sin\(2\pi-x\)) equal to?

Explanation opens after your attempt
Correct Answer

B. -\(\sin x\)

Step 1

Concept

\(2\pi-x\) is related to the fourth quadrant. There \(\sin x\) is negative, so (\sin\(2\pi-x\)=-\sin x).

Step 2

Why this answer is correct

The correct answer is B. -\(\sin x\). \(2\pi-x\) is related to the fourth quadrant. There \(\sin x\) is negative, so (\sin\(2\pi-x\)=-\sin x).

Step 3

Exam Tip

\(2\pi-x\) चौथे चतुर्थांश से संबंधित है। वहाँ \(\sin x\) ऋणात्मक होता है, इसलिए (\sin\(2\pi-x\)=-\sin x)।

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यदि (x) दूसरे चतुर्थांश में है और \(\sec x=-\frac{17}{8}\), तो \(\sin x\) का मान क्या है?

If (x) is in the second quadrant and \(\sec x=-\frac{17}{8}\), what is the value of \(\sin x\)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{15}{17}\)

Step 1

Concept

\(\cos x=-\frac{8}{17}\). In the second quadrant, \(\sin x\) is positive, so \(\sin x=\frac{15}{17}\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{15}{17}\). \(\cos x=-\frac{8}{17}\). In the second quadrant, \(\sin x\) is positive, so \(\sin x=\frac{15}{17}\).

Step 3

Exam Tip

\(\cos x=-\frac{8}{17}\) होगा। दूसरे चतुर्थांश में \(\sin x\) धनात्मक है, इसलिए \(\sin x=\frac{15}{17}\) है।

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यदि (x) चौथे चतुर्थांश में है और \(\tan x=-\frac{24}{7}\), तो \(\cos x\) का मान क्या है?

If (x) is in the fourth quadrant and \(\tan x=-\frac{24}{7}\), what is the value of \(\cos x\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{25}\)

Step 1

Concept

In the fourth quadrant, \(\cos x\) is positive and \(\sin x\) is negative. From the (7,24,25) triple, \(\cos x=\frac{7}{25}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{25}\). In the fourth quadrant, \(\cos x\) is positive and \(\sin x\) is negative. From the (7,24,25) triple, \(\cos x=\frac{7}{25}\).

Step 3

Exam Tip

चौथे चतुर्थांश में \(\cos x\) धनात्मक और \(\sin x\) ऋणात्मक होता है। (7,24,25) त्रिक से \(\cos x=\frac{7}{25}\) है।

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यदि (x) तीसरे चतुर्थांश में है और \(\sin x=-\frac{5}{13}\), तो \(\sec x\) का मान क्या है?

If (x) is in the third quadrant and \(\sin x=-\frac{5}{13}\), what is the value of \(\sec x\)?

Explanation opens after your attempt
Correct Answer

B. -\(\frac{13}{12}\)

Step 1

Concept

In the third quadrant, \(\cos x\) is negative. Since \(\cos x=-\frac{12}{13}\), \(\sec x=-\frac{13}{12}\).

Step 2

Why this answer is correct

The correct answer is B. -\(\frac{13}{12}\). In the third quadrant, \(\cos x\) is negative. Since \(\cos x=-\frac{12}{13}\), \(\sec x=-\frac{13}{12}\).

Step 3

Exam Tip

तीसरे चतुर्थांश में \(\cos x\) ऋणात्मक होता है। \(\cos x=-\frac{12}{13}\), इसलिए \(\sec x=-\frac{13}{12}\) है।

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यदि (x) दूसरे चतुर्थांश में है और \(\cos x=-\frac{3}{5}\), तो \(\tan x\) का मान क्या है?

If (x) is in the second quadrant and \(\cos x=-\frac{3}{5}\), what is the value of \(\tan x\)?

Explanation opens after your attempt
Correct Answer

B. -\(\frac{4}{3}\)

Step 1

Concept

In the second quadrant, \(\sin x\) is positive and \(\cos x\) is negative. Since \(\sin x=\frac{4}{5}\), \(\tan x=-\frac{4}{3}\).

Step 2

Why this answer is correct

The correct answer is B. -\(\frac{4}{3}\). In the second quadrant, \(\sin x\) is positive and \(\cos x\) is negative. Since \(\sin x=\frac{4}{5}\), \(\tan x=-\frac{4}{3}\).

Step 3

Exam Tip

दूसरे चतुर्थांश में \(\sin x\) धनात्मक और \(\cos x\) ऋणात्मक होता है। \(\sin x=\frac{4}{5}\), इसलिए \(\tan x=-\frac{4}{3}\) है।

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यदि \(\cos^2 x=\frac{9}{16}\) और (x) चौथे चतुर्थांश में है, तो \(\sin x\) का मान क्या है?

If \(\cos^2 x=\frac{9}{16}\) and (x) is in the fourth quadrant, what is the value of \(\sin x\)?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{\sqrt{7}}{4}\)

Step 1

Concept

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{\sqrt{7}}{4}\). \(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\). In the fourth quadrant, \(\sin x\) is negative.

Step 3

Exam Tip

\(\sin^2 x=1-\frac{9}{16}=\frac{7}{16}\) होता है। चौथे चतुर्थांश में \(\sin x\) ऋणात्मक होता है।

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यदि (x) दूसरे चतुर्थांश में है और \(\cot x=-\frac{3}{4}\), तो \(\cosec x\) का मान क्या है?

If (x) is in the second quadrant and \(\cot x=-\frac{3}{4}\), what is the value of \(\cosec x\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{5}{4}\)

Step 1

Concept

From \(\cosec^2 x=1+\cot^2 x\), \(|\cosec x|=\frac{5}{4}\). In the second quadrant, \(\cosec x\) is positive.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{5}{4}\). From \(\cosec^2 x=1+\cot^2 x\), \(|\cosec x|=\frac{5}{4}\). In the second quadrant, \(\cosec x\) is positive.

Step 3

Exam Tip

\(\cosec^2 x=1+\cot^2 x\) से \(|\cosec x|=\frac{5}{4}\) मिलता है। दूसरे चतुर्थांश में \(\cosec x\) धनात्मक होता है।

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यदि (x) चौथे चतुर्थांश में है और \(\cos x=\frac{15}{17}\), तो \(\sin x\) का मान क्या है?

If (x) is in the fourth quadrant and \(\cos x=\frac{15}{17}\), what is the value of \(\sin x\)?

Explanation opens after your attempt
Correct Answer

C. \(-\frac{8}{17}\)

Step 1

Concept

The identity gives \(|\sin x|=\frac{8}{17}\). In the fourth quadrant, \(\sin x\) is negative.

Step 2

Why this answer is correct

The correct answer is C. \(-\frac{8}{17}\). The identity gives \(|\sin x|=\frac{8}{17}\). In the fourth quadrant, \(\sin x\) is negative.

Step 3

Exam Tip

पहचान से \(|\sin x|=\frac{8}{17}\) मिलता है। चौथे चतुर्थांश में \(\sin x\) ऋणात्मक होता है।

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यदि (x) तीसरे चतुर्थांश में है और \(\tan x=\frac{9}{40}\), तो \(\sec x\) का मान क्या है?

If (x) is in the third quadrant and \(\tan x=\frac{9}{40}\), what is the value of \(\sec x\)?

Explanation opens after your attempt
Correct Answer

B. \(-\frac{41}{40}\)

Step 1

Concept

From \(\sec^2 x=1+\tan^2 x\), \(|\sec x|=\frac{41}{40}\). In the third quadrant, \(\sec x\) is negative.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{41}{40}\). From \(\sec^2 x=1+\tan^2 x\), \(|\sec x|=\frac{41}{40}\). In the third quadrant, \(\sec x\) is negative.

Step 3

Exam Tip

\(\sec^2 x=1+\tan^2 x\) से \(|\sec x|=\frac{41}{40}\) मिलता है। तीसरे चतुर्थांश में \(\sec x\) ऋणात्मक होता है।

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यदि (x) दूसरे चतुर्थांश में है और \(\sin x=\frac{7}{25}\), तो \(\cos x\) का मान क्या है?

If (x) is in the second quadrant and \(\sin x=\frac{7}{25}\), what is the value of \(\cos x\)?

Explanation opens after your attempt
Correct Answer

C. \(-\frac{24}{25}\)

Step 1

Concept

The identity gives \(|\cos x|=\frac{24}{25}\). In the second quadrant, \(\cos x\) is negative.

Step 2

Why this answer is correct

The correct answer is C. \(-\frac{24}{25}\). The identity gives \(|\cos x|=\frac{24}{25}\). In the second quadrant, \(\cos x\) is negative.

Step 3

Exam Tip

पहचान से \(|\cos x|=\frac{24}{25}\) मिलता है। दूसरे चतुर्थांश में \(\cos x\) ऋणात्मक होता है।

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(\cos\(\pi+x\)) किसके बराबर है?

What is (\cos\(\pi+x\)) equal to?

Explanation opens after your attempt
Correct Answer

B. \(-\cos x\)

Step 1

Concept

\(\pi+x\) is in the third quadrant and \(\cos x\) is negative there. Therefore, (\cos\(\pi+x\)=-\cos x).

Step 2

Why this answer is correct

The correct answer is B. \(-\cos x\). \(\pi+x\) is in the third quadrant and \(\cos x\) is negative there. Therefore, (\cos\(\pi+x\)=-\cos x).

Step 3

Exam Tip

\(\pi+x\) तीसरे चतुर्थांश में है और वहाँ \(\cos x\) ऋणात्मक होता है। इसलिए (\cos\(\pi+x\)=-\cos x)।

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(\sin\(\pi+x\)) किसके बराबर है?

What is (\sin\(\pi+x\)) equal to?

Explanation opens after your attempt
Correct Answer

C. \(-\sin x\)

Step 1

Concept

\(\pi+x\) lies in the third quadrant and \(\sin x\) is negative there. Hence (\sin\(\pi+x\)=-\sin x).

Step 2

Why this answer is correct

The correct answer is C. \(-\sin x\). \(\pi+x\) lies in the third quadrant and \(\sin x\) is negative there. Hence (\sin\(\pi+x\)=-\sin x).

Step 3

Exam Tip

\(\pi+x\) तीसरे चतुर्थांश में आता है और वहाँ \(\sin x\) ऋणात्मक होता है। इसलिए (\sin\(\pi+x\)=-\sin x)।

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चौथे चतुर्थांश में \(\sin x\) का चिन्ह क्या होता है?

What is the sign of \(\sin x\) in the fourth quadrant?

Explanation opens after your attempt
Correct Answer

B. ऋणात्मकNegative

Step 1

Concept

In the fourth quadrant, \(\cos x\) and \(\sec x\) are positive. Hence \(\sin x\) is negative.

Step 2

Why this answer is correct

The correct answer is B. ऋणात्मक / Negative. In the fourth quadrant, \(\cos x\) and \(\sec x\) are positive. Hence \(\sin x\) is negative.

Step 3

Exam Tip

चौथे चतुर्थांश में \(\cos x\) और \(\sec x\) धनात्मक होते हैं। इसलिए \(\sin x\) ऋणात्मक होता है।

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तीसरे चतुर्थांश में \(\tan x\) का चिन्ह क्या होता है?

What is the sign of \(\tan x\) in the third quadrant?

Explanation opens after your attempt
Correct Answer

C. धनात्मकPositive

Step 1

Concept

In the third quadrant, \(\tan x\) and \(\cot x\) are positive. The sign rule gives the answer directly.

Step 2

Why this answer is correct

The correct answer is C. धनात्मक / Positive. In the third quadrant, \(\tan x\) and \(\cot x\) are positive. The sign rule gives the answer directly.

Step 3

Exam Tip

तीसरे चतुर्थांश में \(\tan x\) और \(\cot x\) धनात्मक होते हैं। संकेत नियम से उत्तर सीधे मिलता है।

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दूसरे चतुर्थांश में \(\cos x\) का चिन्ह क्या होता है?

What is the sign of \(\cos x\) in the second quadrant?

Explanation opens after your attempt
Correct Answer

B. ऋणात्मकNegative

Step 1

Concept

In the second quadrant, only \(\sin x\) and \(\cosec x\) are positive. Therefore, \(\cos x\) is negative.

Step 2

Why this answer is correct

The correct answer is B. ऋणात्मक / Negative. In the second quadrant, only \(\sin x\) and \(\cosec x\) are positive. Therefore, \(\cos x\) is negative.

Step 3

Exam Tip

दूसरे चतुर्थांश में केवल \(\sin x\) और \(\cosec x\) धनात्मक होते हैं। इसलिए \(\cos x\) ऋणात्मक होता है।

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पहले चतुर्थांश में \(\sin x\) का चिन्ह क्या होता है?

What is the sign of \(\sin x\) in the first quadrant?

Explanation opens after your attempt
Correct Answer

C. धनात्मकPositive

Step 1

Concept

In the first quadrant, all trigonometric functions are positive. Remember the quadrant sign table.

Step 2

Why this answer is correct

The correct answer is C. धनात्मक / Positive. In the first quadrant, all trigonometric functions are positive. Remember the quadrant sign table.

Step 3

Exam Tip

पहले चतुर्थांश में सभी त्रिकोणमितीय फलन धनात्मक होते हैं। चतुर्थांश संकेत तालिका याद रखें।

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\(200^\circ\) कोण किस चतुर्थांश में आता है?

In which quadrant does \(200^\circ\) lie?

Explanation opens after your attempt
Correct Answer

C. तृतीय चतुर्थांशThird quadrant

Step 1

Concept

\(200^\circ\) lies between \(180^\circ\) and \(270^\circ\) so it is in the third quadrant. Remember the standard quadrant intervals.

Step 2

Why this answer is correct

The correct answer is C. तृतीय चतुर्थांश / Third quadrant. \(200^\circ\) lies between \(180^\circ\) and \(270^\circ\) so it is in the third quadrant. Remember the standard quadrant intervals.

Step 3

Exam Tip

\(200^\circ\) \(180^\circ\) और \(270^\circ\) के बीच है इसलिए तृतीय चतुर्थांश में है। चतुर्थांश के लिए मानक सीमाएं याद रखें।

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\(210^\circ\) किस चतुर्थांश में स्थित है?

In which quadrant does \(210^\circ\) lie?

Explanation opens after your attempt
Correct Answer

C. तीसरा चतुर्थांशThird quadrant

Step 1

Concept

\(210^\circ\) lies between \(180^\circ\) and \(270^\circ\), so it is in the third quadrant. Remember the boundary angles.

Step 2

Why this answer is correct

The correct answer is C. तीसरा चतुर्थांश / Third quadrant. \(210^\circ\) lies between \(180^\circ\) and \(270^\circ\), so it is in the third quadrant. Remember the boundary angles.

Step 3

Exam Tip

\(210^\circ\), \(180^\circ\) और \(270^\circ\) के बीच है इसलिए तीसरे चतुर्थांश में है। सीमा कोणों को याद रखें।

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किस फलन का ग्राफ दूसरे और चौथे चतुर्थांश में दो शाखाओं वाला होता है?

Which function has a graph with two branches in the second and fourth quadrants?

Explanation opens after your attempt
Correct Answer

A. \(y=-\frac{1}{x}\)

Step 1

Concept

In \(y=-\frac{1}{x}\), (x) and (y) have opposite signs. In exams, connect the negative reciprocal graph with the second and fourth quadrants.

Step 2

Why this answer is correct

The correct answer is A. \(y=-\frac{1}{x}\). In \(y=-\frac{1}{x}\), (x) and (y) have opposite signs. In exams, connect the negative reciprocal graph with the second and fourth quadrants.

Step 3

Exam Tip

\(y=-\frac{1}{x}\) में (x) और (y) के चिह्न विपरीत होते हैं। परीक्षा में ऋणात्मक पारस्परिक ग्राफ को दूसरे और चौथे चतुर्थांश से जोड़ें।

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किस फलन का ग्राफ पहले और दूसरे चतुर्थांश में है लेकिन (x=0) पर परिभाषित नहीं है?

Which function has a graph in the first and second quadrants but is not defined at (x=0)?

Explanation opens after your attempt
Correct Answer

A. \(y=\frac{1}{x^2}\)

Step 1

Concept

\(\frac{1}{x^2}>0\) for \(x\ne0\), so the graph stays above and is undefined at (x=0). In exams, remember positive branches on both sides when \(x^2\) is in the denominator.

Step 2

Why this answer is correct

The correct answer is A. \(y=\frac{1}{x^2}\). \(\frac{1}{x^2}>0\) for \(x\ne0\), so the graph stays above and is undefined at (x=0). In exams, remember positive branches on both sides when \(x^2\) is in the denominator.

Step 3

Exam Tip

\(\frac{1}{x^2}>0\) जब \(x\ne0\) इसलिए ग्राफ ऊपर रहता है और (x=0) पर परिभाषित नहीं। परीक्षा में हर में \(x^2\) होने पर दोनों ओर धनात्मक शाखाएं याद रखें।

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फलन (f(x)=\frac{2}{x}) का आलेख किन चतुर्थांशों में होता है?

In which quadrants does the graph of (f(x)=\frac{2}{x}) lie?

Explanation opens after your attempt
Correct Answer

A. प्रथम और तृतीयFirst and third

Step 1

Concept

In \(\frac{2}{x}\), (x) and (y) have the same sign. So the graph lies in the first and third quadrants.

Step 2

Why this answer is correct

The correct answer is A. प्रथम और तृतीय / First and third. In \(\frac{2}{x}\), (x) and (y) have the same sign. So the graph lies in the first and third quadrants.

Step 3

Exam Tip

\(\frac{2}{x}\) में (x) और (y) के चिह्न समान होते हैं। इसलिए ग्राफ प्रथम और तृतीय चतुर्थांश में होता है।

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फलन (f(x)=x) का आलेख किस चतुर्थांश से होकर गुजरता है?

Through which quadrants does the graph of (f(x)=x) pass?

Explanation opens after your attempt
Correct Answer

B. प्रथम और तृतीयFirst and third

Step 1

Concept

In (y=x), (x) and (y) have the same sign. So the line passes through the first and third quadrants.

Step 2

Why this answer is correct

The correct answer is B. प्रथम और तृतीय / First and third. In (y=x), (x) and (y) have the same sign. So the line passes through the first and third quadrants.

Step 3

Exam Tip

(y=x) में (x) और (y) के चिह्न समान होते हैं। इसलिए रेखा प्रथम और तृतीय चतुर्थांश से गुजरती है।

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