If begin mathsize 12px style A equals open square brackets left parenthesis x comma y right parenthesis colon x squared plus y squared equals 25 close square brackets space a n d space B equals open square brackets left parenthesis x comma y right parenthesis colon x squared plus 9 y squared equals 144 close square brackets comma t h e n space A intersection B space c o n t a i n s end style
i. 1 point   ii. 3 points   iii. 2 points   iv. 4 points

Asked by sunil2791 | 3rd Jun, 2017, 05:04: PM

Expert Answer:

begin mathsize 16px style Find space points space which space satisfies space set space straight A space and space set space straight B.
Take space intersection space of space straight A space and space straight B.
straight x squared plus straight y squared equals 25
straight A equals left curly bracket open parentheses 0 comma 5 close parentheses comma open parentheses 0 comma negative 5 close parentheses comma open parentheses negative 5 comma 0 close parentheses comma open parentheses 5 comma 0 close parentheses comma open parentheses 3 comma 4 close parentheses comma open parentheses negative 3 comma negative 4 close parentheses comma open parentheses 4 comma 3 close parentheses comma open parentheses negative 4 comma negative 3 close parentheses right curly bracket
straight x squared plus 9 straight y squared equals 144
straight B equals left curly bracket open parentheses 12 comma 0 close parentheses comma open parentheses 0 comma 3 close parentheses comma open parentheses 0 comma 4 close parentheses comma open parentheses 0 comma negative 4 close parentheses right curly bracket

straight A intersection straight B equals empty set end style

Answered by Sneha shidid | 4th Jun, 2017, 11:48: AM