Mathematics Quiz: Sets and Geometry
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Questions and Answers

What is the power set of the set $X = {a}$?

  • Ø
  • \{Ø, \{a\}\} (correct)
  • \{Ø\}
  • \{Ø, a\}

If $f(x) = 5x$ and $f(a) = 625$, what is the value of $a$?

  • 2
  • 1
  • 3
  • 4 (correct)

If the distance between point A(1,1) and point B(5,-2) is calculated, which of the following options is correct?

  • 5 (correct)
  • 3
  • 6
  • 4

If A is a square matrix, what type of matrix is A + AT?

<p>symmetric (D)</p> Signup and view all the answers

The type of triangle where all three sides are equal is called what?

<p>Equilateral (A)</p> Signup and view all the answers

Flashcards

Power Set of a Set X

The set of all possible subsets of a set X, including the empty set.

n(A U B)

Number of elements in the union of sets A and B

Function f(x) = 5x

A function that multiplies the input x by 5 to produce the output.

Domain of a function, f:N → Z

The set of all possible input values (x) for a function f.

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Distance between two points (x1, y1) and (x2, y2)

Calculated using the distance formula: √[(x2 - x1)² + (y2 - y1)²]

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