Sequences and Series
For any x,y∈R,xy>0 then the minimum value of y32x+3x3y+9x44y2 is
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If A=cos2x+cos2x1,B=cosx−cosx1 ∀x=(2n±1)2π, then the minimum value of BA is
If x,y,z are positive real numbers and x=y+z12−yz. The maximum value of (xyz) equals
If A and G are A.M. and G.M. between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
If a,b and c are positive and 9a+3b+c=90 then the maximum value of (loga+logb+logc ) is (Base of the logarithm is 10)
In △ABC,∑(sinA sin2A+sinA+1 ) is always greater than
The value of p if ,the mean of 23,25,p is 24
If a2+b2+c2=2,x2+y2+z2=2, where a,b,c,x,y,z>0, then maximum value of ax + by + cz is