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If ax+b/x >= c for all positive x, wh...

If `ax+b/x >= c` for all positive x, where ` a, b, c > 0,` then-

A

`ab ge c^2/4`

B

`abltc^2/4`

C

`bcgea^2/41

D

`acgeb^2/4`

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A
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OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
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  2. The function f(x)=asinx+1/3 sin3x has maximum value at x=pi//3 . The v...

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  3. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

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  4. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

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  5. The points of extremum of the function phi(x)=int(1)^(x)e^(-t^2//2)(...

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  6. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

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  7. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  8. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

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  9. The minimum value of (x-a)(x-b) is

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  10. The attitude of a right circular cone of minimum volume circumscired a...

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  11. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  12. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  13. The maximum and minimum values of y=(ax^2+2bx+c)/(Ax^2+2Bx+C) are thes...

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  14. In a A B C ,/B=90^0a n db+a=4. The area of the triangle is maximum wh...

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  15. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

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  16. Maximum area of a reactangle which can be inscribed in a circle of a...

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  17. f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):} Which of the fol...

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  18. The perimeter of a sector is p. The area of the sector is maximum when...

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  19. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

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  20. The function int(-1)^(1)t(e^t-1)(t-1)(t-2)^3(t-3)^tdt has local mini...

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