1.

Evalute the determinants in queations 1 and 2 : Find the values of x, if (i) `|{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|` (ii)`|{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|`

Answer» (i) `|{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|`
`rArr" "2-20=2x^(2)-24`
`rArr" "2x^(2)=2-20+24=6`
`rArr" "x^(2)=3" "rArr" "x=+-sqrt3`
(ii)`|{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|`
`rArr" "10-12=5x-6x`
`rArr" "-2=-x`
`rArr" "x=2`


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