If a and b are positive quantities, `(a gt b)` find minimum positive value of `(a sectheta- b tantheta)`

If a and b are positive numbers such that a^(2) + b^(2) = 4 , then find the maximum value of a^(2) b .

If tan x=(a)/(b) and tan 2x=(b)/(a+b) find the smallest positive value of x.

If a, b,c are three positive real numbers , then find minimum value of (a^(2)+1)/(b+c)+(b^(2)+1)/(c+a)+(c^(2)+1)/(a+b)

If tantheta+sectheta =x ,find sintheta

If ab=2a+3b, agt0, b gt0 , then the minimum value of ab is

Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if (4/a+1/b) is,

If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value of (loga+logb+logc) is (base of the logarithm is 10).

a and b are two positive integers such that a^(b)timesb^(a)=800 . Find the a and b.

If three positive real numbers a, b, c are in A.P and abc = 4 , then the minimum possible value of b is