Is the relation 'is perpendicular to' an equivalence relation?

No, because it is not reflexive and transitive

The domain for cosec-1(x) is:

(−∞,−1]∪\left[1,∞\right)

What are the conditions for a function to be invertible?

Each element in the codomain must have exactly one pre-image

Is the relation 'is congruent to' an equivalence relation?

Yes, because it is reflexive, symmetric and transitive

Is the relation 'less than or equal to' an equivalence relation?

No, because it is not symmetric

What are the conditions for a relation to be a function?

Each element in the domain must have exactly one image in the codomain

Do all matrices have an inverse?

All non-singular matrices have an inverse

studbud

Quiz for Class 12 Math CBSE (1)

12 termsStudBud Administration13 plays

Quiz for Class 12 CBSE students on the following chapters: Matrices, Determinants, Inverse Trigonometry, Relations and Functions

Flashcards12 cardsFPractice quizPHost liveL

Questions 12

Answers

1
Is the relation 'is perpendicular to' an equivalence relation?
No, because it is not symmetric
Yes, because it is reflexive, symmetric and transitive
Yes, because it is symmetric
No, because it is not reflexive and transitive
2
The domain for cosec^-1(x) is:
( -1, 1 )
(-∞,-1)∪\left(1,∞\right)
(−∞,−1]∪\left[1,∞\right)
[ -1, 1 ]
3
What are the conditions for a function to be invertible?
Each element in the codomain must have exactly one pre-image
Range = Codomain
Each element in the domain must have exactly one image in the codomain
No 2 or more elements in the domain can have the same image
4
What is a matrix?
A collections of numbers
Something we learnt in Computer Science
Tabular representation of data
Something that is enclosed in brackets
5
Is the relation 'is congruent to' an equivalence relation?
No, because it is not reflexive and transitive
Yes, because it is symmetric and transitive
No, because it is not symmetric
Yes, because it is reflexive, symmetric and transitive
6
Cos(2x) = ?
\frac{1+\tan^2x}{1-\tan^2x}
\frac{1-\tan^2x}{1+\tan^2x}
\frac{2\tan x}{1-\tan^2x}
\frac{2\tan x}{1+\tan^2x}
7
If |A| = 4, where A is a 3 x 3 matrix, then |adj A| = ?
12
64
81
16
8
Is the relation 'less than or equal to' an equivalence relation?
No, because it is not reflexive and transitive
No, because it is not symmetric
Yes, because it is reflexive, symmetric and transitive
Yes, because it is relfexive and symmetric
9
The domain for cot(x) is:
\left[0,\pi\right]
\left[0,\frac{\pi}{2}\right]
\left(0,\pi\right)
\left(0,\frac{\pi}{2}\right)
10
What are the conditions for a relation to be a function?
Each element in the domain must have exactly one image in the codomain
It must be 1-1
It must be onto
It must be 1-1 and onto
11
The following MUST be a skew-symmetric matrix:
\frac{1}{2}\left(A+A^T\right)
-A^T
A^T
\frac{1}{2}\left(A-A^T\right)
12
Do all matrices have an inverse?
All non-singular matrices have an inverse
Only diagonal matrices have an inverse
Yes, all matrices are invertible
No, only square matrices have an inverse

Quiz for Class 12 Math CBSE (1) Flashcards | StudBud