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If P and Q are two complex numbers then ...

If P and Q are two complex numbers then the modulus of the quotient of P and Q is (a) greater than the quotient of their moduli (b) less than the quotient of their moduli (c) less than or equal to the quotient of their moduli (d) equal to the quotient of their moduli

Text Solution

Verified by Experts

`P=x_1+iy_1`
`Q=x_2+iy_2`
`P/Q=(x_1+iy_1)/(x_2+iy_2)`
`|P/Q|=|P|/|Q|=sqrt(x_1^2+y_1^2)/sqrt(x_2^2+y_2^2`
Option D is correct.
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