if ∣x∣=∣y∣ is (x/y)=−1?


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Question Number 52713 by F_Nongue last updated on 12/Jan/19

$i f ∣ x ∣=∣ y ∣ i s \frac{x}{y} = - 1 ?$
Commented by maxmathsup by imad last updated on 12/Jan/19

$i f x a n d y r e a l ∣ x ∣=∣ y ∣ \Leftrightarrow∣ \frac{x}{y} ∣= 1 \Leftrightarrow \frac{x}{y} = 1 o r \frac{x}{y} = - 1 (w e s u p p o s e y \neq 0)$ $i f x a n d y f r o m C ∣ x ∣=∣ y ∣ \Leftrightarrow∣ \frac{x}{y} ∣= 1 \Leftrightarrow \exists θ \in R / x = y e^{i θ} .$
	Answered by Kunal12588 last updated on 12/Jan/19

	$∣ x ∣=∣ y ∣$ $\Rightarrow x = \pm y$ $\Rightarrow \frac{x}{y} = 1 o r \frac{x}{y} = - 1$
	Answered by tanmay.chaudhury50@gmail.com last updated on 12/Jan/19

	$∣ x ∣^{2} =∣ y ∣^{2}$ $x^{2} - y^{2} = 0$ $(x + y) (x - y) = 0$ $w h e n x + y = 0$ $\frac{x}{y} = - 1 a n d w h e n x - y = 0 \frac{x}{y} = 1$ $f r o m g r a p h i t c a n b e s e e n . . . a t t a c h i n g . . .$
	Commented by tanmay.chaudhury50@gmail.com last updated on 12/Jan/19

	Commented by F_Nongue last updated on 25/Jan/19

	$t h a n k s s i r$
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