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: 10/11/2020
11th Standard Maths English Medium Free Online Test Volume 1 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.
The first and last term of an A. P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be ______________
5
6
7
8
2.
Assertion (A): Every body in a room shakes hands with everybody else. The total number of persons in the room is n. The number of hand shakes is \(\frac{n(n-1)}{2}\)
Reason (R): The number of handshakes is nC2
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
is false R is true
3.
If \(\frac { 1 }{ 7! } +\frac { 1 }{ 8! } =\frac { A }{ 9! } ,\) then the value of A is _________
72
82
9
92
4.
Find the incorrect pair
\(\\ \frac { a }{ sin\ A } =\frac { b }{ sin\ B } =\frac { C }{ sin\ C } \) - 2R
\(\frac { { b }^{ 2 }+{ c }^{ 2 }-{ a }^{ 2 } }{ 2bc } \) - cos A
\(\frac { a-b }{ a+b } cot\frac { c }{ 2 } \) - tan\(\frac{A-B}{2}\)
\(\frac { { a }^{ 2 }+{ c }^{ 2 }-{ b }^{ 2 } }{ 2ac } \) - cos C
5.
Choose the incorrect pair:
sinx - x ∈ R
cos x - x ∈ R
log x x > 0
e-x - x > 0
6.
The locus of a point which is collinear with the points (a, 0) and (0, b) is ______________
x + y = 1
\(\frac{x}{a}+\frac{y}{b}=1\)
x + y = ab
\(\frac{x}{a}-\frac{y}{b}=1\)
7.
Separate equation of lines for a pair of lines whose equation is x2+ xy -12y2 = 0 are ______________
x + 4y = 0 and x + 3y = 0
2x - 3y = 0 and x - 4y = 0
x - 6y = 0 and x - 3y = 0
x + 4y = 0 and x - 3y = 0
8.
If sin θ = sin \(\alpha\), then the angles θ and \(\alpha\) are related by _______________
\(\theta=n\pi\pm\alpha\)
\(\theta=2n\pi+(-1)^n\alpha\)
\(\alpha=n\pi\pm(-1)^n\theta\)
\(\theta=(2n+1)\pi+\alpha\)
9.
If tan θ = \(\frac{-4}{3}\), then sin θ is _____________
\(\frac{-4}{5}\)
\(\frac{4}{5}\)
\(\frac{-4}{5}\quad or\quad \frac{4}{5}\)
None
10.
The lines x cos \(\alpha\) + y sin \(\alpha\) = p and xcos\(\beta\) + y sin\(\beta\) = q will be perpendicular if ______________
\(\alpha =\beta\)
\(\alpha-\beta=\frac{\pi}{2}\)
\(|\alpha-\beta|=\frac{\pi}{2}\)
\(\alpha-\beta=0\)
11.
The number of ways of disturbing 7 identical balls in 3 distinct boxes, so that no box is empty is _________
7
6
35
15
12.
There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated is _________
102
1023
210
10!
13.
Logarithm of 144 to the base 2\(\sqrt{3}\) is ___________
2
3
4
5
14.
Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________
(3, 3)
(2, 3)
(3, 2)
none of these
15.
If the lines x + q = 0, y - 2 = 0 and 3x + 2y + 5 = 0 are concurrent, then the value of q will be ______________
2
2
3
5
16.
The series for log \(\left( \frac { 1+x }{ 1-x } \right) is\) ______________
\(x+\frac { { x }^{ 3 } }{ 3 } +\frac { { x }^{ 5 } }{ 5 } +...+\infty \)
\(2\left[ x+\frac { { x }^{ 3 } }{ 3 } +\frac { { x }^{ 5 } }{ 5 } +...+\infty \right] \)
\(\frac { { x }^{ 2 } }{ 2 } +\frac { { x }^{ 4 } }{ 4 } +\frac { { x }^{ 6 } }{ 6 } +...+\infty \)
\(2\left[ \frac { { x }^{ 2 } }{ 2 } +\frac { { x }^{ 4 } }{ 4 } +\frac { { x }^{ 6 } }{ 6 } +...+\infty \right] \)
17.
The product of r consecutive positive integers is divisible by _________
r!
r!+1
(r+1)
none of these
18.
The equation of the line with slope 2 and the length of the perpendicular from the origin equal to \(\sqrt5\) is
x - 2y = \(\sqrt5\)
2x - y =\(\sqrt5\)
2x - y = 5
x - 2y - 5 = 0
19.
The coefficient of x5 in the series e-2x is
\(\frac { 2 }{ 3 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -4 }{ 15 } \)
\(\frac { 4 }{ 15 } \)
20.
The number of five digit telephone numbers having at least one of their digits repeated is
90000
10000
30240
69760
21.
\((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________
1
3
23
21
22.
If cosec x + cot x = \(\frac { 11 }{ 2 } \) then tan x = ___________
\(\frac { 21 }{ 22 } \)
\(\frac { 15 }{ 16 } \)
\(\frac { 44 }{ 117 } \)
\(\frac { 117 }{ 44 } \)
23.
If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is
0.5
2.5
1.5
1.25
24.
If f(x) = |x - 2| + |x + 2|, x ∈ R, then
\(f(x)=\left\{\begin{array}{lll} -2 x & \text { if } & x \in(-\infty,-2] \\ 4 & \text { if } & x \in(-2,2] \\ 2 x & \text { if } & x \in(2, \infty) \end{array}\right.\)
\(f(x)=\begin{cases}2x\ if\ x∈(-∞,-2] \\4x\ if \ x∈(-2,2]\\ - 2x\ if\ x∈(2,∞)\end{cases}\)
\(f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\-4x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}\)
\(f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\2x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}\)
25.
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.
(b)
6
2.
(a)
Both A and R are true and R is the correct explanation of A
3.
(d)
92
4.
(d)
\(\frac { { a }^{ 2 }+{ c }^{ 2 }-{ b }^{ 2 } }{ 2ac } \) - cos C
5.
(d)
e-x - x > 0
6.
(b)
\(\frac{x}{a}+\frac{y}{b}=1\)
7.
(d)
x + 4y = 0 and x - 3y = 0
8.
(c)
\(\alpha=n\pi\pm(-1)^n\theta\)
9.
(c)
\(\frac{-4}{5}\quad or\quad \frac{4}{5}\)
10.
(c)
\(|\alpha-\beta|=\frac{\pi}{2}\)
11.
(d)
15
12.
(b)
1023
13.
(c)
4
14.
(a)
(3, 3)
15.
(c)
3
16.
(b)
\(2\left[ x+\frac { { x }^{ 3 } }{ 3 } +\frac { { x }^{ 5 } }{ 5 } +...+\infty \right] \)
17.
(a)
r!
18.
Let y = 2x + c be the required line.
Given perpendicular distance from origin'to this line is \(\sqrt5\)
\(\frac{c}{\sqrt{1+4}}=\sqrt{5}\)
c = 5
This required line is y - 2x + 5
2x - y + 5 = 0
19.
\(\mathrm{e}^{-2 x}=1-\frac{2 x}{1 !}+\frac{(2 x)^{2}}{2 !}-\frac{(2 x)^{3}}{3 !}+\frac{(2 x)^{4}}{4 !}-\frac{(2 x)^{5}}{5 !}+\ldots\)
\(\text { Coefficient of } x^{5} \text { is } \frac{-2^{5}}{5 !}=\frac{-32}{120}=\frac{-4}{15}\)
20.
The number of five digit telephone numbers which can be formed using the digits 0,1,2.... 9 is 105.
The number of 5 digit numbers which has none of their digit repeated is 10P5, = 30240
The required number of telephone. number is 105 =- 30240 = 69,760
21.
(a)
1
22.
(c)
\(\frac { 44 }{ 117 } \)
23.
\(\log _{\sqrt{x}} 0.25 =4 \)
\((\sqrt{x})^{4} =0.25 \)
\((\sqrt{x})^{4} =\frac{1}{4} \)
\(x^{2} =\frac{1}{4} \)
\(\Rightarrow x=\frac{1}{2}=0.5\)
24.
\(\text { If } x \in(-\infty,-2), \text { Let } x=-3\)
\(\text { then } f(x)=|-5|+|1|=6=-2 x\)
\(\text { If } x \in(-2,-2), \text { Let } x=0 \text { then }\)
\(f(x)=|0-2|+|0+2|=4\)
\(\text { If } x \in(2, \infty), \text { Let } x=4\)
\(\text { then } f^{}(x)=|2|+|6|=8=2 x\)
\(\therefore \mathrm{f}(x)=\left\{\begin{array}{rl} -2 x & x \in(-\infty,-2] \\ 4 & x \in(-2,2] \\ 2 x & x \in(2, \infty) \end{array}\right.\)
25.
(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
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
