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If the curve y= a sqrt(x) + bx passes t...

If the curve `y= a sqrt(x) + bx` passes through the point `(1, 2)` and the area bounded by the curve, the line `x=4` and x-axis is 8 square unit, then the values of a and b are-

A

`a=3, b=1`

B

`a=-3,b=1`

C

`a=3, b=-1`

D

`a=-3, b=-1`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
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  2. The equations of the two common tangents to the circle x^(2) +y^(2)=2a...

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  3. If the curve y= a sqrt(x) + bx passes through the point (1, 2) and t...

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  4. The area (in square unit ) bounded by the curve y= sinx between the o...

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  5. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

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  6. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

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  7. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

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  8. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

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  9. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

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  10. The angle between the curves y= sin x and y= cos x is-

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  11. The function f(x)=cos x - 2ax is monotonically decreasing when-

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  13. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

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  14. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

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  15. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

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