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The straight line 2x – 3y = 1 divides th...

The straight line 2x – 3y = 1 divides the circular region `x^(2) + y^(2) le 6` into two parts. If
`S = {(2, (3)/(4)), ((5)/(2), (3)/(4)), ((1)/(4), -(1)/(4)), ((1)/(8), (1)/(4))}`, then the number of point(s) in S lying inside the smaller part is

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The straight line 2x-3y=1 divides the circular region x^(2)+y^(2)<=6 into two parts.If S={(2,(3)/(4)),((5)/(2),(3)/(4)),((1)/(4),-(1)/(4)),((1)/(8),(1)/(4))} then the number of point(s) in s lying inside the smaller part is

The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 into two parts. If S = { ( 2 , 3/4) , (5/2,3/4) , (1/4,-1/4), (1/8,1/4) }, then the number of point(s) in S lying inside the smaller part is

The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 into two parts. If S = { ( 2 , 3/4) , (5/2,3/4) , (1/4,-1/4), (1/8,1/4) }, then the number of point(s) in S lying inside the smaller part is

The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 into two parts. If S = { ( 2 , 3/4) , (5/2,3/4) , (1/4,-1/4), (1/8,1/4) }, then the number of point(s) in S lying inside the smaller part is

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(1)/(2(3x+4y))=(1)/(5(2x-3y))=(1)/(4),

S_(1)={2},S_(2)={(3)/(2),(4)/(2)},S_(3)={(4)/(4),(5)/(4),(6)/(4)},S_(4)={(5)/(8),(6)/(8),(7)/(8),(8)/(8)}, then the sum of numbers in S_(20) is

If S_(1) = {2}, S_(2) = { (3)/(2) , (4)/(2) }, S_(3) = { (4)/( 4) , (5)/(4) , (6)/( 4) } , S_(4) = { (5)/( 8) , (6)/( 8) , (7)/(8) , (8)/( 8) } ,….. then the sum of numbers in S_(20) is

If the straight line x=b divide the area enclosed by y=(1-x)^(2),y=0 " and " x=0 " into two parts " R_(1)(0le x le b) " and " R_(2)(b le x le 1) " such that " R_(1)-R_(2)=(1)/(4). Then, b equals