Question

Let $\xi$ = 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 angles triangles. What do the sets $P\cap Q$ and $R-P$ represent respectively?

• 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 non isosceles right angled triangles
• D. The set of isosceles triangles; the set of equilateral triangles

Answer 1

Answer: (C)

The set of equilateral triangles; the set of non isosceles right angled triangles

$\xi =$ the set of all triangles

$P=$ the set of all isosceles triangle

$Q=$ the set of all equilateral triangle

$R=$ the set of all right angled triangle

$P\cap Q=$the set of all equilateral triangles are isosceles but all isosceles triangle arte not equilateral.

$R-P=$ Set of all right angled triangle which are not isosceles (because all right angled triangle are not isosceles triangle.)