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The minimum value oof f(x)=a^2sec^2x+b^2...

The minimum value oof `f(x)=a^2sec^2x+b^2cosec^2x` is `(a+b)^2` and attained at `tanx=sqrt(b//a)`

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AAKASH SERIES-MAXIMA & MINIMA-SYNOPSIS
  1. The maximum value of acos^2x+bsin^2x is 'a' and minimum value =b("If "...

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  2. The minimum value of f(x)=atanx+bcotx" is "2sqrt(ab) and " attains at ...

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  3. The minimum value oof f(x)=a^2sec^2x+b^2cosec^2x is (a+b)^2 and attain...

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  4. The minimum value of f(x)=asecx+bcosecx is (a^(2//3)+b^(2//3))^(3//2) ...

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  5. The sum of two numbers is k, the least sum of their squares is K^2//2

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  6. The sum of two numbers is K. If their product is maximum, then the num...

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  7. The product of two positive numbers is K. If the sum of their squares ...

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  8. Sum of two numbers is k. If the product of the square of the first and...

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  9. If agt0,bgt0,xgt0 the least value of f(x)=ax+b/x" is "2sqrt(ab)

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  10. If x gt 0 then the least value of x +1/x is

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  11. The triangle of maximum area that can be inscribed in a circle is

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  12. The maximum area of the rectangle that can be inscribed in a circle of...

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  13. The maximum triangle inscribed in a circle is equilateral triangle

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  14. The maximum area of a triangle inscribed in a circle is a circle of ra...

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  15. The perimeter of a sector is 'C' cms. Then maximum area of sector is C...

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  16. If the perimeter of a sector of a circle is constant then find the ang...

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  17. The hypotenuse of a right angled triangle is 'a'. If the area of trian...

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  18. Two sides of a triangle is given . If the area of a triangle is maximu...

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  19. The sum of hypotenuse and one side of right angled triangle is given. ...

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  20. An open box of maximum volume is made from a square piece of tin of si...

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