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Question

I. 6x2+13x+21=0II. 5y222y+21=0

A
xy
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B
x<y
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C
x>y
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D
xy
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E
None of these
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Solution

The correct option is C x>y
Equation I
6x2+41x+63=0
6x2+27x+14x+63=0
3x(2x+9)+7(2x+9)=0
(3x+7)(2x+9)=0
x=73,x=92
Equation II
4y2+8y+3=0
4y2+6y+2y+3=0
2y(2y+3)+1(2y+3)=0
(2y+1)(2y+3)=0
y=12,32
Hence, x < y

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