Two sets- X- Y such that X-x-x- x2-5x-6-0 -B-1-2-5-3- then A- B-

Given two sets X, Y such that X={x:x∈ℕ; x^2 5x+6=0} Now, x^2 5x+6=0 ⇒ x^2 2x 3x+6=0 ⇒ (x 2)(x 3)=0 ⇒ x=2,3 ⇒ X={2, 3} And other set is B={1,2,5,3}. Thus, X∩ B={ ...

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Standard IX

Mathematics

Binary Operation

Two sets: X, ...

Question

Two sets: $X, Y$ such that $X = {x : x \in N; x^{2} - 5 x + 6 = 0} &$
$B = {1, 2, 5, 3},$ then $A \cap B =$

{2, 3}

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{1, 5}

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{1, 5, 2, 3}

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Solution

The correct option is A ${2, 3}$
Given two sets $X, Y$ such that $X = {x : x \in N; x^{2} - 5 x + 6 = 0}$
Now, $x^{2} - 5 x + 6 = 0$
$\Rightarrow x^{2} - 2 x - 3 x + 6 = 0$
$\Rightarrow (x - 2) (x - 3) = 0$
$\Rightarrow x = 2, 3$
$\Rightarrow X = {2, 3}$
And other set is $B = {1, 2, 5, 3} .$
Thus, $X \cap B = {2, 3} \cap {1, 2, 5, 3} = {2, 3} .$

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Two sets: X,Y such that X={x:x∈N;x2−5x+6=0} & B={1,2,5,3}, then A∩B=

The correct option is A {2,3}Given two sets X,Y such that X={x:x∈N;x2−5x+6=0} Now, x2−5x+6=0 ⇒x2−2x−3x+6=0 ⇒(x−2)(x−3)=0 ⇒x=2,3 ⇒X={2,3} And other set is B={1,2,5,3}. Thus, X∩B={2,3}∩{1,2,5,3}={2,3}.

Two sets: $X, Y$ such that $X = {x : x \in N; x^{2} - 5 x + 6 = 0} &$
$B = {1, 2, 5, 3},$ then $A \cap B =$