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यदि समबाहु त्रिभुज की भुजा ॥ तथा शीर्ष (x1, y1), (x2, x2) एवं (x3, y3) हों, तो सिद्ध कीजिए कि  \(\begin{bmatrix}x_1 & y_1&2\\[0.3em]x_2&y_2&2\\[0.3em]x_3&y_3&2 \\[0.3em] \end{bmatrix}^3\) = 3a4

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दिया है कि समबाहु त्रिभुज की भुजा a तथा समबाहु त्रिभुज के तीनों शीर्ष (x1, y1), (x2, y2) तथा (x3, y3) हैं।

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