Home
Class 12
MATHS
[rArrquad k>2" and "k<=-6" or,"k" ze "k"...

[rArrquad k>2" and "k<=-6" or,"k" ze "k" is "4" ."],[" Hence,the least integral value of "k" is "4" ."],[" EXAMPLE "20" If "9^(x+1)+(a^(2)-4a-2)3^(x)+1>0" for all "x in R" ,"],[" then "],[[" (a) "a in R," (b) "a in R^(+)," (c) "a in[1,oo)," (d) "a in R-{2}]]

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x+k) + f(x) = 0 AA x in R and k in R^(+) , then the period of f(x) is

sin ^ (2) (60 + x) -sin ^ (2) (60-x) in [- (k) / (2), (k) / (2)] rArr k =

lim_ (x rarr k) [x] = ... (k in Z)

If f(x+k)+f(x)=0 AA x in R , k in R and the period of f(x) is mk ,then m=

[" The value of "],[lim_(x rarr0)(sin^(3)x-x^(3)sgn(1-[(x)/(sin^(-1)x)]))/(x tan^(2)x sin(pi cos x))" is "],[" equal to "],[" (Note: "[k]" denotes GIF of "k&" sgn k denotes "],[" signum function of "k" ) "]

sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ] rArr k =

lim_ (x rarr0) ((x + k) ^ (4) -x ^ (4)) / (k (k + 2x))

Let f:R^(+)rarr R is a strictly decreasing function for all x in R 'such that f(k^(2)-2k)>f(3k-4) ,then k can be

Let f(x) be periodic and k be a positive real number such that f(x+k) + f(x) = 0 for all x in R . Prove that f(x) is periodic with period 2k.

Let f(x) be periodic and k be a positive real number such that f(x + k) + f (x) = 0 for all x in R . Then the period of f(x) is