If the curve \( y=a x^{1 / 2}+b x \) passes through the point \( (1...

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If the curve \( y=a x^{1 / 2}+b x \) passes through the point \( (1,2) \) and lies above the \( x \)-axis for \( 0 \leq x \leq 9 \) and the area enclosed
\( \mathrm{P} \) by the curve, the \( x \)-axis, and the line \( x=4 \) is 8 sq. units,

W then
(1) \( a=1 \)
(2) \( b=1 \)
(3) \( a=3 \)
(4) \( b=-1 \)
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