11th Standard Syllabus & Materials
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TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
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Published on: 11/11/2020
11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Three
Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Choose the incorrect pair:
A and B disjoint - P(A⋂B) = peA) + PCB
A and B independent - P(A⋂B) = p(A) P(B)
A and B disjoint - P(A⋂B) = 0
A and B independent - P(A/B) = P(B/A)
2.
Find the odd one out of the following
\(\hat { i } +2\hat { j } +3\hat { k } \)
\(2\hat { i } +4\hat { j } +6\hat { k } \)
\(7\hat { i } +14\hat { j } +21\hat { k } \)
\(\hat { i } +3\hat { j } +2\hat { k } \)
3.
Assertion (A) : cos x = \(\frac{-1}{2}\) and 0
Reason (R) : cos is negative in the first and fourth quadrant only.
Both A and (R) are true and (R) is the correct explanation of (A)
Both A and R are true but (R) is not the correct explantion of A
A is true R is false
A is false R is true
4.
The direction cosines of the vector \(2\hat{i}+2\hat{j}-\hat{k}\) are ___________ .
\(\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 } \)
\(\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,\frac { 1 }{ 3 } \)
\(-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,\frac { 1 }{ 3 } \)
\(-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 } \)
5.
\(\int { sin } \)ex . d (ex) = ________+c.
cos (ex)
sin(ex)
- cos (ex)
-sin(ex)
6.
Choose the correct or the most suitable answer from the given four alternatives.
If \(x=a(\theta+\sin \theta), y=a(1+\cos \theta)\) then \(\frac{dy}{dx}\) is ______
\(\tan { \frac { \theta }{ 2 } } \)
\(-\tan { \frac { \theta }{ 2 } } \)
\(\cot { \frac { \theta }{ 2 } } \)
\(-\cot { \frac { \theta }{ 2 } } \)
7.
The sum of the series C02- C12 + C22 .....+ (- 1)nC2n where n is an even integer is ______________
2nCn
(-1)n2nCn
(-1)n2nCn-1
(-1)n/2nCn/2
8.
The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is
\(\sqrt { 2n+1 } \)
\(\frac { \sqrt { 2n+1 } }{ 2 } \)
\(\sqrt { 2n+1 } -1\)
\(\frac { \sqrt { 2n+1 } -1 }{ 2 } \)
9.
If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is
0.5
2.5
1.5
1.25
10.
If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________
{1, 4, 6, 9}
{4, 6, 9}
{1}
None of these
1.
(d)
A and B independent - P(A/B) = P(B/A)
2.
(d)
\(\hat { i } +3\hat { j } +2\hat { k } \)
3.
(c)
A is true R is false
4.
(a)
\(\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 } \)
5.
(c)
- cos (ex)
6.
(b)
\(-\tan { \frac { \theta }{ 2 } } \)
7.
(d)
(-1)n/2nCn/2
8.
\(\frac{1}{\sqrt{1}+\sqrt{3}} =\frac{1}{\sqrt{3}+\sqrt{1}} \times \frac{\sqrt{3}-1}{\sqrt{3}-1}=\frac{\sqrt{3}-1}{2} \)
\(\frac{1}{\sqrt{3}+\sqrt{5}} =\frac{1}{\sqrt{5}+\sqrt{3}} \times \frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}-\sqrt{3}} \)
\(=\frac{\sqrt{5}-\sqrt{3}}{2} \)
\(\text { Sum to } \mathrm{n} \text { terms }=\frac{(\sqrt{3}-1)}{2}+\frac{(\sqrt{5}-\sqrt{3})}{2}+\ldots . .\left(\frac{\sqrt{2 n+1}-\sqrt{2 n-1}}{2}\right)\)
\(=\frac{\sqrt{2 n+1}-1}{2}\)
9.
\(\log _{\sqrt{x}} 0.25 =4 \)
\((\sqrt{x})^{4} =0.25 \)
\((\sqrt{x})^{4} =\frac{1}{4} \)
\(x^{2} =\frac{1}{4} \)
\(\Rightarrow x=\frac{1}{2}=0.5\)
10.
(c)
{1}
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
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Tamilnadu Stateboard 11th Standard Subjects

Maths

Commerce

Economics

Biology

Business Maths and Statistics

Accountancy

Computer Science

Physics

Chemistry

Maths

Biology

Economics

Physics

Chemistry

History

Business Maths and Statistics

Computer Science

Accountancy

Computer Applications

History

Computer Technology

Commerce

Computer Applications

Computer Technology

Tamil

English

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Tamilnadu Stateboard Standards