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Consider the system of linear equations `a_1x+b_1y+c_1z+d_1=0` , `a_2x + b_2y+c_2z+d_2=0` and `a_3x+b_3y+c_3z+d_3=0` . Let us denote by `Delta(a,b,c)` the determinant `|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|` . If `Delta(a,b,c)ne0` , then the value of x in the unique solution of the above equations is :

A

`(Delta(bcd))/(Delta(abc))`

B

`(Delta(-bcd))/(Delta(abc))`

C

`(Delta(acd))/(Delta(abc))`

D

`-(Delta(abd))/(Delta(abc))`

Text Solution

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The correct Answer is:
B
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