Question

( left(5^{12 x}+5^{1-x}right)+left(25^{x}+25 xright)=2left(frac{9}{2}right) )
( sin left(5^{x}+frac{1}{5}right)+left(45^{x}+frac{1}{25^{x}}right)=a rightarrow )
Ear ( x=0, a=12 )
Pon ( x>0 ) is a valur kevps on increating
( operatorname{Dax} x theta )
notice in
0
'a' ralue frougs on increasing
( r )
)

# If x € R, the numbers 51+x + 51-x, a/2, 25x + 25-x form an A.P. then 'a' must lie in the interval: (A) [1, 5] (B) [2, 5] (C) (5, 12] (D) [12,)

Solution