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Evaluate the following determinates |{...

Evaluate the following determinates
`|{:(x,y),(-y,x):}|`

Text Solution

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The correct Answer is:
`x^2+y^2`
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Find the values of x, y and z from the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

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Knowledge Check

  • The value of the determinant |{:(x,x+y,x+2y),(x+2y,x,x+y),(x+y,x+2y,x):}|" is "".........."

    A
    `9x^2(x+y)`
    B
    `9y^2(x+2y)`
    C
    `3y^2(x+y)`
    D
    `7x^2(x+y)`

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