11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A
Published on: 11/11/2020
11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020
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.
If the direction cosines of a line are k, k and k, then
k>0
0
k=1
\(k=\frac { 1 }{ \sqrt { 3 } } or-\frac { 1 }{ \sqrt { 3 } } \)
2.
\(\int { \frac { { e }^{ x } }{ \left( 1+{ e }^{ x } \right) ^{ 2 } } } \) dx =_______+c
\(\frac { 1 }{ 1+{ e }^{ x } } \)
-\(\frac { 1 }{ 1+{ e }^{ x } } \)
1 + ex
\(\frac { \left( 1+{ e }^{ x } \right) ^{ 3 } }{ 3 } \)
3.
\(\int \frac{d x}{e^x-1}\) is
\(log|e^x|-log|e^x-1|+c\)
\(log|e^x|+log|e^x-1|+c\)
\(log|e^x-1|-log|e^x|+c\)
\(log|e^x+1|-log|e^x|+c\)
4.
A vector \(\overrightarrow{OP}\) makes 60° and 45° with the positive direction of the x and y axes respectively. Then the angle between \(\overrightarrow{OP}\)and the z-axis is
45°
60°
90°
30°
5.
The distance between the parallel lines 3x - 4y + 9 = 0 and 6x - 8y -15 = 0 is ______________
\(\frac{-33}{10}\)
\(\frac{10}{33}\)
\(\frac{33}{10}\)
\(\frac{33}{20}\)
6.
Which one of the following statements in false?
A point \((\alpha,\beta)\) will lie on origin side of the line ax+by+c=0 if a\(\alpha\)+b\(\beta\)+c and c have the same sign
A point \((\alpha,\beta)\) will lie on non-origin side of the line ax+by+c=0 if a\(\alpha\)+b\(\beta\) +c and c have opposite sign
If \(\alpha=\frac{\pi}{2},p=0\) , then the equation xcos\(\alpha\)+ysin\(\alpha\)=p represents x-axis
If \(\alpha =0,p=0\), then the equation xcos\(\alpha\)+ysin\(\alpha\)=presents x-axis
7.
The number of positive integral solution of \(x\times y\times z=30\) is _________
3
1
9
27
8.
If \(x={1\over 2+\sqrt{3}}\) then the value of x3 - x2 - 11x + 3 is
0
1
2
4
9.
If 10 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then the total number of points of intersection are
45
40
10!
210
10.
If sin α + cos α = b, then sin 2α is equal to
b2- 1, if b ≤\(\sqrt { 2 } \)
b2- 1, if b >\(\sqrt { 2 } \)
b2-1, if b ≥ 1
b2- 1, if b ≥\(\sqrt { 2 } \)
1.
(d)
\(k=\frac { 1 }{ \sqrt { 3 } } or-\frac { 1 }{ \sqrt { 3 } } \)
2.
(b)
-\(\frac { 1 }{ 1+{ e }^{ x } } \)
3.
\(\int \frac{d x}{e^{x}-1} =\int \frac{1}{e^{x}\left(1-\frac{1}{e^{x}}\right)} d x \)
\(=\int \frac{e^{-x}}{1-e^{-x}} d x \)
\(=\log \left|1-e^{-x}\right|+c \)
\(=\log \left|1-\frac{1}{e^{x}}\right|+c \)
\(=\log \left|\frac{e^{x}-1}{e^{x}}\right|+c \)
\(=\log \left|e^{x}-1\right|-\log \left|e^{x}\right|+c \)
4.
\(\cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=1 \)
\(\cos ^{2} 60^{\circ}+\cos ^{2} 45^{\circ}+\cos ^{2} \gamma=1 \)
\(\left(\frac{1}{2}\right)^{2}+\left(\frac{1}{\sqrt{2}}\right)^{2}+\cos ^{2} \gamma=1 \Rightarrow \cos ^{2} \gamma=1-\frac{1}{4}-\frac{1}{2} \)
\(\cos ^{2} \gamma=\frac{4-1-2}{4}=\frac{1}{4} \Rightarrow \cos \gamma=\frac{1}{2} \Rightarrow \gamma=60^{\circ} \)
\(\text { Angle between } \overrightarrow{O P} \text { and } z \text { axis is } 60^{\circ}\)
5.
(c)
\(\frac{33}{10}\)
6.
(d)
If \(\alpha =0,p=0\), then the equation xcos\(\alpha\)+ysin\(\alpha\)=presents x-axis
7.
(d)
27
8.
(a)
0
9.
\(\text { Number of points of intersection }={ }^{10} \mathrm{C}_{2}\)
\(=\frac{10 \times 9}{1 \times 2}=45\)
10.
\(\sin \alpha+\cos \alpha=b \Rightarrow(\sin \alpha+\cos \alpha)^{2} =b^{2} \)
\(\sin ^{2} \alpha+\cos ^{2} \alpha+2 \sin \alpha \cos \alpha =b^{2} \)
\(\sin 2 \alpha =b^{2}-1 \)
Since \(-1<\sin 2 \alpha \leq 1 \)
\(-1 \leq \mathrm{b}^{2}-1 \leq 1 \)
\(\mathrm{~b}^{2}-1 \leq 1 \)
\(\mathrm{~b}^{2} \leq 2 \)
\(\text { This is possible if } \mathrm{b} \leq \sqrt{2}\)
\(\sin 2 \alpha=b^{2}-1, \text { if } b \leq \sqrt{2}\)
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - துணைப்பாடம் - யானை டாக்டர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set A
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
French
Tamilnadu Stateboard Standards
