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(i) 6x² – 11x + 4 = 0

(ii) 3y² – 5y + 2 = 0

a

x ≤ y

b

x < y

c

x ≥ y

d

x > y

e

x = y or no relation can be established between x & y.

Answer : Option E
Explanation :

I. 6x211x+4=06{x^2} - 11x + 4 = 0

6x2(8+3)x+4=06{x^2} - left( {8 + 3} ight)x + 4 = 0

6x28x3x+4=06{x^2} - 8x - 3x + 4 = 0

2x(3x4)1(3x4)=02xleft( {3x - 4} ight) - 1left( {3x - 4} ight) = 0

x=12,43x = frac{1}{2},frac{4}{3}II. 3y25y+2=03{y^2} - 5y + 2 = 0

3y2(3+2)y+2=03{y^2} - left( {3 + 2} ight)y + 2 = 0

3y23y2y+2=03{y^2} - 3y - 2y + 2 = 0

3y(y1)2(y1)=03yleft( {y - 1} ight) - 2left( {y - 1} ight) = 0

y=2/3,1y = 2/3,1

No relation between x and y

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