If `ln^(2)x+3lnx-4` is non negative, then x must lie in the interval :

If ln^(2)x+3ln x-4 is non negative,then x must lie in the interval: [e,oo) b.(-oo,e^(-4))uu[e,oo) c.(1/e,oo) d.none of these

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

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

If the equation sin^(4)x-(k+2)sin^(2)x=(k+3) has a solution then 'k' must lie in the interval: (-4,-2) b.[-3,2) c.(-4,-3)d[-3,-2]

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

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

If both roots of the quadratic equation (2-x)(x+1)=p are distinct & interval positive,then p must lie in the,interval

If the equation sin^4x-(k+2)sin^2x-(k+3)=0 has a solution then k must lie in the interval;

If the equation sin^4x-(k+2)sin^2x=(k+3) has a solution then ' k ' must lie in the interval: a. (-4,-2) b. [-3,2) c. (-4,-3) d. [-3,-2]

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