If `af(x+1)+bf(1/(x+1))=x ,x!=-1,a!=b ,t h e nf(2)` is equal to `(2a)/(2(a^2-b^2))` (b) `a/(a^2-b^2)` `(a+2b)/(a^2-b^2)` (d) none of these

If af(x+1)+bf((1)/(x+1))=x,x!=-1,a!=b then f(2) is equal to

If af(x)+bf((1)/(x))=x-1,x!=0 and a!=b, then f(2) is equal to ?

If (2x+1)/((x+1)(x+2)) = A/(x+1) + B/(x+2) then (A,B) is equal to

If ax+by=1 is tangent to the hyperbola (x^(2))/(a_(1)^(2))-(y^(2))/(b^(2))=1, then a^(2)-b^(2) is equal to (A)(1)/(a^(2)e^(2))(B)a^(2)e^(2)(C)b^(2)e^(2)(D) none of these

If (2x+1)/((x+1)(x+2))=A/(x+1)+B/(x+2) then (A,B) is equal to

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| is equal to (a) (1)/(2|b|)sqrt(d^(2)-a^(2))( b )(1)/(2|a|)sqrt(d^(2)-a^(2))(c)(1)/(2|d|)sqrt(d^(2)-a^(2))(d) none of these

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

If sin x+sin y=a and cos x+cos y=b then cos(x-y) is equal to (1)/(2)(a^(2)+b^(2)-2)(B)(1)/(2)(a^(2)+b^(2)+2)

f(x)=(x)/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1/a) c.f(a^(2)) d.f (-(a)/(a-1))

if for nonzero x,af(x)+bf((1)/(x))=(1)/(x)-5 where a!=b then f(2)=