If `(a/b)^(x-2)=(b/a)^(x-4) `Then value` `of` x` =

If (x-a+2b)^(2)+(x-2a+b)^(2)=(a+b)^(2) , then one value of x is

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

If lim_(xtooo)(1+a/x+b/(x^(2)))^(2x)=e^2 then values of a and b are

If f(x)=(x^(2)+3x+2)(x^(2)-7x+a) and g(x)=(x^(2)-x-12)(x^(2)+5x+b) , then the value of a and b , if (x+1)(x-4) is H.C.F. of f(x) and g(x) is (a) a=10 : b=6 (b) a=4 : b=12 (c) a=12 : b=4 (d) a=6 : b=10

If lim_(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and b, are

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is

If [a b c1-a] is an idempotent matrix and f(x)=x-^2=b c=1//4 , then the value of 1//f(a) is ______.

If x = (2ab)/(a + b) , find the value of : (x + a)/(x - a) + (x + b)/(x - b) .