11th Standard Syllabus & Materials
11th Standard
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NEW11th Standard
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Published on: 11/11/2020
11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Seven
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.
Assertion (A) : f (x) =\(\begin{cases} \begin{matrix} x+1, & x<2 \end{matrix} \\ \begin{matrix} 2x-1, & x\ge 2 \end{matrix} \end{cases}\) then f'(2) does not exist.
Reason (R) : f(x) is not continuous at 2.
Both A and it 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
2.
Choose the incorrect statement
Matrix multiplication is non commutative
Matrix addition is associative
Singular matrices have inverse
Non singular matrices have inverse
3.
\(\int { \frac { { 4x }^{ 3 }+1 }{ { x }^{ 4 }+x } } \) dx = _______ + c.
log (4x3 +1)
log (x4 + x)
log (4x3)
\(\frac { 1 }{ log({ x }^{ 4 }) } \)
4.
A function f(x) is said to be continuous at x=a if \(\lim _{ x\rightarrow a }{ f\left( x \right) } \)is equal to
\(f\left( a \right) \)
\(f\left( -a \right) \)
\(2f\left( a \right) \)
\(f\left( \frac { 1 }{ a } \right) \)
5.
Choose the correct or the most suitable answer from the given four alternatives.
If f(x) is an even functions, thenf'(x) is an ______function
even
odd
even and odd
even or odd
6.
\(\int \tan ^{-1} \sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}} d x\) is
x2+c
2x2+c
\({x^2\over2}+c\)
\(-{x^2\over2}+c\)
7.
Domain of the function \(y={x-1\over x+1}\) is __________
1R
Q
R-(-1)
R-1
8.
The number of solution of x2 + |x - 1| = 1 is
1
0
2
3
9.
Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?
T is an equivalence relation but S is not an equivalence relation
Neither S nor T is an equivalence relation
Both S and T are equivalence relation
S is an equivalence relation but T is not an equivalence relation.
10.
If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains
no element
infinitely many elements
only one element
cannot be determined
1.
(c)
A is true R is false
2.
(c)
Singular matrices have inverse
3.
(b)
log (x4 + x)
4.
(a)
\(f\left( a \right) \)
5.
(b)
odd
6.
\(\int \tan ^{-1} \sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}} d x =\int \tan ^{-1} \sqrt{\tan ^{2} x} d x \\ \)
\(=\int \tan ^{-1}(\tan x) d x \)
\(=\int x d x=\frac{x^{2}}{2}+c \)
7.
(c)
R-(-1)
8.
\(x^{2}+|x-1| =1\)
\(|x-1| =1-x^{2} \)
\(1-x^{2} =x-1 \text { (or) } 1-x^{2} =-x+1 \)
\(x^{2}+x-2 =0 \ x^{2}-x =0 \)
\((x+2)(x-1) =0 \ x(x-1) =0 \)
\(x =-2 \text { (or) } 1 \ x=0 ; x =1 \)
The roots are -2, 0, 1. Since -2 does not satisfy. The roots are 0 and 1.
.'. Number of solution is 2.
9.
\(\mathrm{T}: x-y \text { is an integer } \Rightarrow x \mathrm{R} y\)
\(\text { i) } x-x=0 \text { is an integer }\)
\(\therefore \text { T is reflexive. }\)
\(\text { ii) }(x-y) \text { is an integer } \Rightarrow y-x \text { is also an integer }\)
\(\therefore \mathrm{T} \text { is symmetry }\)
iii) If (x - y)is an integer and y- z is also an integer, by adding
x - z is also an integer.
\(\therefore \mathrm{T} \text { is transitive }\)
Thus, T is an equivalence relation.
\(\mathrm{S}: \mathrm{y}=x+1 \Rightarrow x \mathrm{~S} y\)
\(\text { i) } x=x+1 \Rightarrow x S x \text { is not true. }\)
\(\therefore S \text { is not reflexive. }\)
Hence T is an equivalence relation but S is not an equivalence relation
10.
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
