यदि `A = {:[(1" "4),(3" "2),(2" "5)]:}` तथा `B={:[(-1-2),(0" "5),(3" "1)]:}` हो , तो आव्यूह D क्या होगा यदि `A+B-D=0`, अर्थात शून्य आव्यूह हो |

Options

A. `{:[(0" "2),(3" "7),(5" "6)]:}`
B. `{:[(2" "0),(7" "3),(6" "5)]:}`
C. `{:[(0" "2" "3),(7" "5" "6)]:}`
D. `{:[(7" "5" "6),(0" "2" "3)]:}`

Answer

A

Explanation

माना `D = {:[(a" "b),(c" "d),(e" "f)]:}`

`:. A+B-D`

`={:[(1-1-a" "4-2-b),(3+0-c" "2+5-d),(2+3-e" "5+1-f)]:}`

`={:[(-a" "2-b),(3-c" "7-d),(5-e" "6-f)]:}`

`=[(0" "0),(0" "0),(0" "0)]`[दिया है ]

आव्यूहों की समानता की परिभाषा से ,

` - a = 0 `
` a = 0`

`2-b = 0`
` rArr b = 2 `

`3 - c = 0`
` :. c = 3`

`d = 7 `
`e = 5`
`f = 6`

` :. D =[(0" "2),(3" "7),(5" "6)]`