कलान्तर = ................... x पथान्तर

If |(a +x,a -x,a -x),(a -x,a +x,a -x),(a -x,a -x,a +x)| = 0 , then x is equal to

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

(1) If | [a+x ,a ,x ],[a-x, a ,x], [a-x, a ,-x] |=0 then x is

The value of lim_(x->oo)(x/(x+(sqrt(x))/(x+(sqrt(x))/(x+(sqrt(x))/(x+(sqrt(x))/(x+......oo)))))) is

(i) Find the value of a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x} (ii) Solve the equation 2x = [x] + {x}

If f(x) is continuous at x=a,a>0, where f(x)=[(a^x-x^a)/(x^x-a^a), for x!=a, -1 for x=a, then a=

If 5{x}=x+[x] and [x]-{x}=(1)/(2) when {x} and [x] are fractional and integral part of x then x is

(i) Find the value of a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x} (ii) Solve the equation 2x = [x] + {x}