Q9 of 162 Page 1

If A = {(x, y) : y = e^x, xR} and B = {(x, y) : y = e⁻^x, xR}, then write .

Here, and

A⋂B={(x,y):y=e^x ,xϵR} and {(x,y):y=e^-x ,xϵR}

={(x,y):y= e^x and y= e^-x xϵR}

={(x,y): e^x = e^-x xϵR}

={(x,y):e^2x =1,xϵR}

={(0,1)} (∵ )

Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that can be.

If and , then write .

If A and B are two sets such that n(A) = 20, n(B) = 25 and n= 40, then write n.

If A and B are two sets such that n(A) = 115, n(B) = 326, n (A − B) = 47, then write .

If A = {(x, y) : y = ex, xR} and B = {(x, y) : y = e−x, xR}, then write .