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Maxima & Minima Quiz II Mission DUJAT 2021 II 21 September
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Question 1
The maximum area of a right angled triangle with hypotenuse h is :
Question 2
If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm2) of this cone is :
Question 3
The roots of 
are
are Question 4
The interval in which the function y=x-2sinx; 0≤x≤2π increase throughout is:
Question 5
The maximum value M of 3x+5x-9x+15x-25x, as x varies over reals, satisfies
Question 6
Let 
=
, then
=, then Question 7
The function ƒ(x)= 
decreases in the interval
decreases in the interval Question 8
The perimeter of a sector is a constant. If its area is to be maximum, then the sectorial angle is
Question 9
The wire of length 20 cm is bent in the form of a sector of a circle. The maximum area that can be enclosed by the wire is
Question 10
The function f (x) =ax + b is strictly increasing for all real x is
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