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Q.

If X={x:x212x+20=0}andY={x:x2+5x14=0}  then XY=

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a

{7}

b

{}

c

{2}

d

{10}

answer is B.

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Detailed Solution

x212x+20=0

x(x10)2(x10)=0

x=2,10

X={2,10}

x2+5x14=0

x2+7x2x14=0

x(x+7)2(x+7)=0

x=2,7

Y={2,7}

XY={2,10}{2,7}

={10}

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