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

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

A

a

B

b

C

a+b

D

none

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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