यदि x = y cos frac{2pi}{3} = z cos frac{4pi}{ | vedclass

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(B) दिया गया है कि $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$।हम जानते हैं कि $\cos \frac{2\pi}{3} = -\frac{1}{2}$ और $\cos \frac{4\pi}{3} =

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$0$

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(B) दिया गया है कि $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$।हम जानते हैं कि $\cos \frac{2\pi}{3} = -\frac{1}{2}$ और $\cos \frac{4\pi}{3} = -\frac{1}{2}$।अतः,$x = y(-\frac{1}{2}) = z(-\frac{1}{2})$।इसका अर्थ है $x = -\frac{y}{2} = -\frac{z}{2}$।माना $x = \lambda$,तो $y = -2\lambda$ और $z = -2\lambda$।अब,$xy + yz + zx$ की गणना करें:$xy + yz + zx = (\lambda)(-2\lambda) + (-2\lambda)(-2\lambda) + (-2\lambda)(\lambda)$$= -2\lambda^2 + 4\lambda^2 - 2\lambda^2$$= 0$।

यदि $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$ है,तो $xy + yz + zx = $

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