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Show that |{:(a^(2)+x^(2),ab-cx,ac+bx),...

Show that `|{:(a^(2)+x^(2),ab-cx,ac+bx),(ab+cx,b^(2)+x^(2),bc-ax),(ac-bx,bc+ax,c^(2)+x^(2)):}|=|{:(x,c,-b),(-c,x,a),(b,-a,x):}|^(2)`.

Answer

Step by step text solution for Show that |{:(a^(2)+x^(2),ab-cx,ac+bx),(ab+cx,b^(2)+x^(2),bc-ax),(ac-bx,bc+ax,c^(2)+x^(2)):}|=|{:(x,c,-b),(-c,x,a),(b,-a,x):}|^(2). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • The determinant |{:(b^(2)ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ac,c-a,ab-a^(2)):}| equals

    A
    `abc(b-c)(c-a)(a-b)`
    B
    `(b-c)(c-a)(a-b)`
    C
    0`
    D
    None of these

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