Relations And Functions

  • Question
    CBSEENMA11012987

    If Z1 = (x - 3y) - i (2x + y), and Z2 = -1 - 5i are equal,   find values of x a nd y.

    Solution

    Here,               Z1 = (x - 3y) -i(2x + y), Z2 = -1 - 5i
    Now,                Z1 = Z2 rightwards double arrow Re(Z1) = Re (Z2) rightwards double arrow x-3y rightwards double arrowx  = -1                     ...(i)
                   
    and                  Z1 =Z2 rightwards double arrow1m(Z1) = 1m(Z2) rightwards double arrow - 5 = 2x - y rightwards double arrow2x + y = 5       ...(ii)             
    Solving (i) and (ii) simultancously, we have
     
                        x = 2, y = 1

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