1.

If a curve y=asqrtx+bx passes through the point (1,2) and the area bounded by the curve, line x=4 and x-axis is 8 square units, then

Answer»

`a=3,b=-1`
`a=3,b=1`
`a=-3,b=1`
`a=-3,b=-1`

Solution :It is given that `y=asqrtx+bx` passes through the point (1,2).
`therefore2=a+b""...(i)`
It is given that
`UNDERSET(0)overset(4)(INT)(asqrtx+bx)dx=8`
`IMPLIES[(2)/(3)ax^(3//2)+b/2x^(2)]_(0)^(4)=8`
`implies16/3a+8b=8implies2/3a+b=1""...(ii)`
Solving (i)and (ii), we get `a=3, b=-1.`


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