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The minimum value of 27 tan^2 theta+3 co...

The minimum value of `27 tan^2 theta+3 cot ^2 theta` is

A

15

B

18

C

24

D

30

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The absolute minimum of y= c cosh (x/c) is

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  2. If a gt b, maximum value of a sin ^2x + b cos ^2 x is

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  3. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

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  4. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

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  5. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

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  6. The minimum value of sqrt((e^x"^2)-1) is

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  7. The minimum value of px+qy when xy= r^2 is

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  8. If f(x) =x-k/x has a maximum value at x=-2 , then k=

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  9. If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then t...

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  10. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

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  11. The minimum value of (sin x)^(sin x) is

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  12. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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  13. if x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7) is

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  14. If x,y are strictly positive such that x+y=1 then the minimum value of...

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  15. If l^(2)+m^(2)=1 then the max value of l+m is

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  16. If x is real and (a sin x +b cos x)/(c sin x +d cos x) has neither max...

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  17. The greatest value of the function f(x) =sin 2x -x on [-pi//2,pi//2] ...

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  18. The least value of f(x) = sin 2x -x on [-pi//2,pi//2] is

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  19. The difference between the greatest and least value of the function f(...

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  20. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

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