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If x+y=60, x, y gt 0, then the maximum v...

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

A

30

B

60

C

`45 xx (15)^(3)`

D

`15 xx (45)^(3)`

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
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  3. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

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

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

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

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

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  8. If PQ and PR are the two sides of a triangle, then the angle between ...

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

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

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

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  12. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

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  13. A land in the form of a circular sector has been fenced by wire of 40 ...

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  14. The maximum value of the function f(x)=3 cos x - 4 sin x is-

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  15. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

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  16. The surface area of a spherical bubble is increasing at the rate of ...

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  17. A point on the parabola y^(2)=18x at which the ordinate increases at t...

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  18. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

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  19. Maximize : Z=5y+2x subject to constraints- x+2y le 4, 7x + 8y ge 56...

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