Let A-a- b and B-a- b- c- Is A - B - What is A - B -

Here A = a, b and B = a, b, c All elements of set A are present in set B. ∴ A⊂ B, Now A∪ B = a, b, c = B ...

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Standard XI

Mathematics

Cardinal Properties

Let A=a, b an...

Question

Let A = {a, b} and B = {a, b, c}. Is $A \subset B$ ? What is $A \cup B$ ?

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Solution

Here A = {a, b} and B = {a, b, c} All elements of set A are present in set B.

$∴ A \subset B,$
Now $A \cup B$ = {a, b, c} = B

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$L e t A = [\begin{matrix} 0 & α 0 & 0 \end{matrix}] a n d (A + I)^{50} - 50 A = [\begin{matrix} a & b c & d \end{matrix}], T h e n, t h e v a l u e o f a + b + c + d i s$

Let A = 3 y^{2} + 9 x - 3 x^{2}, B = 6 x^{2} - 2 y^{2} + 3 x, C = 9 x^{2} - 3 x y - y^{2} . Find A + B - C.

Let \to a = α_{1}^i + α_{2}^j + α_{3}^k,

\to b = β_{1}^i + β_{2}^j + β_{3}^k

and

\to c = γ_{1}^i + γ_{2}^j + γ_{3}^k,

| \to a | = 2 \sqrt{2}, \to a

makes an angle

\frac{π}{6}

with the plane of

\to b, \to c

and

(\to b, \to c) = \frac{π}{3},

then

{∣ ∣ ∣ ∣ \begin{matrix} α_{1} & α_{2} & α_{3} β_{1} & β_{2} & β_{3} γ_{1} & γ_{2} & γ_{3} \end{matrix} ∣ ∣ ∣ ∣}^{n}

is equal to
(

n

is even natural number)

Q. Let

A = {a, b}, B = {a, b, c} .

A \subset B

? What is

A \cup B

Q. Let A = { a , b }, B = { a , b , c }. Is A ⊂ B? What is A ∪ B?

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Let A = {a, b} and B = {a, b, c}. Is A⊂B ? What is A∪B ?

Here A = {a, b} and B = {a, b, c} All elements of set A are present in set B. ∴ A⊂B, Now A∪B = {a, b, c} = B

Let A = {a, b} and B = {a, b, c}. Is $A \subset B$ ? What is $A \cup B$ ?

Here A = {a, b} and B = {a, b, c} All elements of set A are present in set B.

$∴ A \subset B,$
Now $A \cup B$ = {a, b, c} = B