If `x in R` , the numbers `5^(1+x) + 5^(1-x) , a/2 , 25^x + 25^(-x)` form an A.P. then `a` must lie in the interval

If x varepsilon R, the numbers (5^(1+x)+5^(1-x),(a)/(2),(25^(x)+25^(-x)) form an A.P. then a must lie in the interval

If x in R, the numbers 2^(1+x)+2^(1-x),b/2,36^(x)+36^(-x) form an A.P. then b may lie in the interval [12,oo) b.[6,oo) c.(-oo,6] d.[6,12]

At what values of parameter a are there values of x such that the numbers: (5^(1+x)+5^(1-x)),(a)/(2),(25^(x)+25^(-x)) form an A.P.

If (log_((1)/(3)))(3x-1)/(x+2) is less than unity,then x must lie in the interval:

If both roots of the quadratic equation x^(2)+x+p=0 exceed p where p epsilon R , then p must lie in the interval

Consider a quadratic expression f (x) =tx^(2) -(2t -1) x+ (5x -1) If f (x) can take both positive and negative values then t must lie in the interval