Question

If A={(x,y):y=e^x,x belongs to R} and B={(x,y):y=e^-x,x belongs to R}, then write A intersection B.

Answer 1

y=ex here x can vary from - infinity to + infinity but y can be only positive number

so A = {R,positive number}

and for y =e-x x can vary from - infinity to + infinity but y can be only positive number

so B ={R,positive number}

so A intersection B is ={ R,positive number}