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
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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 Book Back One Mark Questions - Part Two
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 \(\int f '(x)e^{x^2}dx=(x-1)e^{x^2}+c\), then f(x) is
\(2x^3-{x^2\over 2}+x+c\)
\({x^3\over 2}+3x^2+4x+c\)
x3 + 4x2 + 6x + c
\({2x^3\over3}-x^2+x+c\)
2.
It is given that f '(a) exists, then \(lim_{x\rightarrow a}{xf(a)-af(x)\over x-a}\) is
f(a) - af '(a)
f '(a)
- f '(a)
f(a) + af '(a)
3.
If A is a square matrix, then which of the following is not symmetric?
A + AT
AAT
AT A
A − AT
4.
Find the angle between the lines 3x2- 10xy - 3y2 = 0 ______________
90°
45°
60°
30°
5.
Which of the following point lie on the locus of 3x2+ 3y2- 8x - 12y + 17 = 0
(0, 0)
(-2, 3)
(1, 2)
(0, -1)
6.
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is
304\(\times\) 292
303\(\times\) 293
302\(\times\) 294
30\(\times\)295
7.
The HM of two positive numbers whose AM and GM are 16, 8 respectively is
10
6
5
4
8.
If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to
\([2,\infty]\)
\((2,\infty )\)
\((-\infty,2)\)
\((-2,\infty )\)
9.
\(\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right) \) =
\(\frac { 1 }{ 8 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ \sqrt { 3 } } \)
\(\frac { 1 }{ \sqrt { 2 } } \)
10.
Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is
an one-to-one function
an onto function
a function which is not one-to-one
not a function
1.
Given \(\int f^{\prime}(x) e^{x^{2}} d x =(x-1) e^{x^{2}}+c \)
\(\therefore f^{\prime}(x) e^{x^{2}} =\frac{d}{d x}\left[(x-1) e^{x^{2}}\right] \)
\(=(x-1) e^{x^{2}} \times 2 x+e^{x^{2}}(1) \)
\(=(2 x(x-1)+1) e^{x^{2}} \)
\(=\left(2 x^{2}-2 x+1\right) e^{x^{2}} \)
\(\therefore f^{\prime}(x) =2 x^{2}-2 x+1 \)
\(\therefore f(x) =\int\left(2 x^{2}-2 x+1\right) d x \)
\(=2\left(\frac{x^{3}}{3}\right)-2\left(\frac{x^{2}}{2}\right)+x+c\)
\(=\frac{2 x^{3}}{3}-x^{2}+x+c \)
2.
\(\lim _{x \rightarrow a} \frac{x f(a)-a f(x)}{x-a} \)
\(=\lim _{x \rightarrow a} \frac{x f(a)-a f(x)+a f(a)-a f(a)}{x-a} \)
\(=\lim _{x \rightarrow a} \frac{f(a)(x-a)-a[f(x)-f(a)]}{x-a} \)
\(=f(a) \lim _{x \rightarrow a} \frac{x-a}{x-a}-a \lim _{x \rightarrow a} \frac{f(x)-f(a)}{x-a} \)
\(=f(a)-a f^{\prime}(a) \)
3.
(d)
A − AT
4.
(a)
90°
5.
\((1,2) \text { lies on } 3 x^{2}+3 y^{2}-8 x-12 y+17=0\)
\(\text { Because, } 3(1)^{2}+3(2)^{2}-8(1)-12(2)+17\)
\(=3+12-8-24+17=0\)
6.
First in Maths = 30 ways
Second in Maths - 29 ways
Similarly for other subjects
30 \(\times\) 29 \(\times\) 30 \(\times\) 29 \(\times\) 30 \(\times\)30 = 304 \(\times\)292
7.
\(\mathrm{AM}=16, \quad \mathrm{GM}=8, \quad \mathrm{HM}=?\)
\(\frac{a+b}{2}=16 \Rightarrow a+b=32\)
\(\sqrt{a b}=8 \Rightarrow a b=64\)
\(\therefore \mathrm{HM} =\frac{2 a b}{a+b} \)
\(=\frac{2(64)}{32}= 4 \)
8.
\(\text { In }(-\infty, 2), \frac{|x-2|}{x-2} \text { is negative }\)
\(\operatorname{In}[2, \infty), \frac{|x-2|}{x-2} \geq 0\)
9.
\(\left(2 \cos ^{2} \frac{\pi}{16}\right)\left(2 \cos ^{2} \frac{3 \pi}{16}\right)\left(2 \cos ^{2} \frac{5 \pi}{16}\right)\left(2 \cos ^{2} \frac{7 \pi}{16}\right) \)
\(=2^{4}\left[\cos \frac{\pi}{16} \cos \frac{3 \pi}{16} \cos \frac{5 \pi}{16} \cos \frac{7 \pi}{16}\right]^{2} \)
\(=\left(\cos \frac{8 \pi}{16}+\cos \frac{6 \pi}{16}\right)^{2}\left(\cos \frac{8 \pi}{16}+\cos \frac{2 \pi}{16}\right)^{2} \)
\(=\left(\cos \frac{6 \pi}{16}\right)^{2}\left(\cos \frac{2 \pi}{16}\right)^{2} \)
\(=\left\{\frac{1}{2}\left[\cos \frac{8 \pi}{16}+\cos \frac{4 \pi}{16}\right]\right\}^{2} \)
\(=\frac{1}{4} \cdot \frac{1}{2}=\frac{1}{8} \)
10.
It is not a function since it has two images
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
