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I. 3x²-37x+114=0 II. 3y²-46y+171=0
Question

In each of the following questions two equations are given. Solve these equations and give answer:

I. 3x²-37x+114=0
II. 3y²-46y+171=0

A.

If x>y

B.

If x≥y

C.

If x<y

D.

If x≤y

E.

If x = y or no relation can be established between x and y

Correct option is D


I. 3x²-37x+114=0
3x²-19x-18x+114=0
x(3x-19) -6(3x-19)= 0
(x-6)(3x-19)=0
x=19/3, 6
II. 3y²-46y+171=0
3y²-27y-19y+171=0
3y(y-9) -19(y-9)= 0
(3y-19)(y-9)=0
y=19/3,9
So, x≤y

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