Which of the following sets is uncountable?

[0,1] - {1/n : n belong to natural numbers}

Math Quiz: Geometry MCQ!

10 Questions | By Arvind | Updated: Mar 21, 2022 | Attempts: 93

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1.

Let F and F^' be fields such that |F| = 9, |F^'| = 4. the total number of field homomorphism from F to F^' is
- A.
  
  2
- B.
  
  1
- C.
  
  0
- D.
  
  3
Correct Answer
C. 0

Explanation
All angles in a triangle add up to 180 degrees.

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2.

Let V be a vector space of 2*2 matrices over R. Which of the following is a linear transformation.
- A.
  
  T([a_ij]) = a₁₁
- B.
  
  T(A) = A + I
- C.
  
  T(A) = trace(A)
- D.
  
  I and III only
Correct Answer
D. I and III only
3.

P is orthogonal if and only if P^T is orthogonal.
- A.
  
  Yes
- B.
  
  No
Correct Answer
A. Yes
4.

A cantor set is nowhere dense.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
5.

Let T : U--> V be a linear transformation , if dim(U) > dim(V) then T is one-one.
- A.
  
  Yes
- B.
  
  No
Correct Answer
B. No
6.

C=2Πr (Circumference of a Circle)
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
7.

Which of the following sets is uncountable?
- A.
  
  Q*Q
- B.
  
  Z*Z
- C.
  
  [0,1] - {1/n : n belong to natural numbers}
- D.
  
  {1/n : n are natural numbers}
Correct Answer
C. [0,1] - {1/n : n belong to natural numbers}
8.

The total number of subfields of a field with 729 elements is:
- A.
  
  One
- B.
  
  Two
- C.
  
  Three
- D.
  
  Four
Correct Answer
D. Four
9.

A finite-dimensional normed space is separable.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
10.

Which of the following is correct for set A = {(x,y) : y²= 4x } U {(x,y) : x² + y² =1}
- A.
  
  A is compact set
- B.
  
  A is connected set
- C.
  
  A is not perfect set
- D.
  
  A is neither open nor closed
Correct Answer
B. A is connected set

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Current Version
Mar 21, 2022

Quiz Edited by
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Jun 01, 2020

Quiz Created by
Arvind

Math Quiz: Geometry MCQ!

Let F and F' be fields such that |F| = 9, |F'| = 4. the total number of field homomorphism from F to F' is

Let V be a vector space of 2*2 matrices over R. Which of the following is a linear transformation.

P is orthogonal if and only if PT is orthogonal.

A cantor set is nowhere dense.

Let T : U--> V be a linear transformation , if dim(U) > dim(V) then T is one-one.

C=2Πr (Circumference of a Circle)

Which of the following sets is uncountable?

The total number of subfields of a field with 729 elements is:

A finite-dimensional normed space is separable.

Which of the following is correct for set A = {(x,y) : y2 = 4x } U {(x,y) : x2 + y2 =1}

Let F and F^' be fields such that |F| = 9, |F^'| = 4. the total number of field homomorphism from F to F^' is

P is orthogonal if and only if P^T is orthogonal.

Which of the following is correct for set A = {(x,y) : y²= 4x } U {(x,y) : x² + y² =1}