Let begin mathsize 12px style A equals open curly brackets left parenthesis x comma y right parenthesis colon y equals e to the power of x comma x element of R close curly brackets a n d space B equals open curly brackets left parenthesis x comma y right parenthesis colon y equals e to the power of negative x end exponent comma x element of R close curly brackets comma t h e n end style
i.begin mathsize 12px style A intersection B equals ϕ space space space i i. A intersection B equals open curly brackets left parenthesis 0 comma 1 right parenthesis close curly brackets space space space space i i i. A union B equals R squared end style    iv.None of these

Asked by sunil2791 | 3rd Jun, 2017, 05:10: PM

Expert Answer:

begin mathsize 16px style Given space that space straight y equals straight e to the power of straight x space and space straight y equals straight e to the power of negative straight x end exponent
rightwards double arrow At space straight x equals 0 space both space the space functions space will space have space unique space value space as space 1.
rightwards double arrow straight A intersection straight B equals open curly brackets open parentheses 0 comma 1 close parentheses close curly brackets
rightwards double arrow straight A intersection straight B not equal to straight ϕ end style

Answered by Sneha shidid | 5th Jun, 2017, 11:13: AM