Let `k [f(x)+f(y)]= f(xsqrt(1-y^2)+ysqrt(1-x^2))` then `k=:`

Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x) is not identically zero]. Then f(4x^3-3x)+3f(x)=0 f(4x^3-3x)=3f(x) f(2xsqrt(1-x^2)+2f(x)=0 f(2xsqrt(1-x^2)=2f(x)

Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x) is not identically zero]. Then a) f(4x^3-3x)+3f(x)=0 b) f(4x^3-3x)=3f(x) c) f(2xsqrt(1-x^2)+2f(x)=0 d) f(2xsqrt(1-x^2)=2f(x)

Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x) is not identically zero]. Then f(4x^3-3x)+3f(x)=0 f(4x^3-3x)=3f(x) f(2xsqrt(1-x^2)+2f(x)=0 f(2xsqrt(1-x^2)=2f(x)

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

Sin^(-1)(xsqrt(1-y^(2))+ysqrt(1-x^(2)))=

Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k , then

If xsqrt(1-y^(2))+ysqrt(1-x^(2))=k , find [(d^(2)y)/(dx^(2))]_(x=0)