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Asked by rohan1234rathor | 08 Jun, 2022, 11:01: AM

Expert Answer

From set A: -1 < a - 5 < 1 and -1 < b - 5 < 1

i.e. 4 < a < 6 and 4 < b < 6

rightwards double arrow straight a element of open parentheses 4 comma space 6 close parentheses space and space straight b element of open parentheses 4 comma space 6 close parentheses From space set space straight B colon 4 open parentheses straight a minus 6 close parentheses squared plus 9 left parenthesis straight b minus 5 right parenthesis squared less or equal than 36 space rightwards double arrow open parentheses straight a minus 6 close parentheses squared over 9 plus open parentheses straight b minus 5 close parentheses squared over 4 less or equal than 1 This space is space an space ellipse. So comma space the space vertex space of space this space ellipse space is space left parenthesis 6 comma space 5 right parenthesis Since space 9 space greater than thin space 4 End space points space of space the space major space axis space are space left parenthesis 3 comma space 5 right parenthesis space and space left parenthesis 9 comma space 5 right parenthesis End space points space of space the space minor space axis space are space left parenthesis 6 comma space 3 right parenthesis space and space left parenthesis 6 comma space 7 right parenthesis space rightwards double arrow 3 less than straight a less than 9 space and space 3 less than straight b less than 7 rightwards double arrow straight a element of left parenthesis 3 comma space 9 right parenthesis space and space straight b element of left parenthesis 3 comma space 7 right parenthesis Hence comma space straight A subset of straight B

Answered by Renu Varma | 08 Jun, 2022, 12:12: PM

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