Sets-Relations-And-Functions Question 160

Question: Let S = the set of all triangles, P= the set of all isosceles triangles, Q= the set of all equilateral triangles, R= the set of all right - angled triangles. What do the sets $ P\cap Q $ and $ R-P $ represents respectively?

Options:

A) The set of isosceles triangles; the set of non-isosceles right angled triangles

B) The set of isosceles triangles; the set of right angled triangles

C) The set of equilateral triangles; the set of right angled triangles

D) The set of isosceles triangles; the set of equilateral triangles

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Answer:

Correct Answer: A

Solution:

  • [a]As given: S = the set of all triangles P= the of all isosceles triangles Q= the set of all equilateral triangles R= the set of all right angled triangles
    $ \therefore P\cap Q $ Represents the set of isosceles triangles and R - P represents the set of non- isosceles right angled triangles.