Let `f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2))` If `f(x)` is onto function then `alpha` belongs to (A) `[1,4]` (B) `[-2,3]` (C) `[0,3]` (D) `[2,5]`

If f:Rto(1,10) , where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto function, then the value alpha is

If f: R->R ,f(x)=(alphax^2+6x-8)/(alpha+6x-8x^2) is onto then alpha in

If f: R->R ,f(x)=(alphax^2+6x-8)/(alpha+6x-8x^2) is onto then alpha in

If f:R rarr R,f(x)=(alpha x^(2)+6x-8)/(alpha+6x-8x^(2)) is onto then alpha in

Let f(x)=cot^(-1)(x^2+4x+alpha^2-3alpha) be a function defined on R->(0,pi/2] , is an onto function then (a) alpha in [-1,4] (b) alpha in {-1,4} (c) f(x) is one-one (d) f(x) is many-one

Let f:R rarr R be defined by f(x)=2+alpha x,alpha!=0 , If f(x)=f^(-1)(x) , for all x in R , then alpha equals

Let f(x)={((alpha cotx)/x+beta/x^2,0<|x|lt=1),(1/3,x=0)) If f(x) is continuous at x=0 then the value of alpha^2+beta^2 is 1 b. 2 c. 5 d. 9

Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):} . If f(x) is continuous at x=0 then the value of alpha^2+beta^2 is