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(b) If the same pair of values of x, y satisfy the three equationsax +by + c = 0bx + cy+a = 0cx + ay +b = 0then find the relation between a, b,c |
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Answer» Answer: ax + by + c + bx + cy + a + cx + ay + B = 0 ax + ay + a + bx + by + b + cx + cy + c = 0 a(x + y + 1) + b(x + y + 1) + c(x + y + 1) = 0 (x + y + 1)(a + b + c) = 0 Assuming, (a + b + c) = 0, we get, a + b = -c ... (1) Cubing both sides, a^3 + b^3 + 3ab(a + b) = -c^3 a^3 + b^3 + 3ab(-c) = -c^3 ... from EQ. (1) a^3 + b^3 - 3ABC = -c^3 a^3 + b^3 + c^3 = 3abc If, (x + y + 1), then a,b and c doesn't satisfy the given equation. Read more on Brainly.in - brainly.in/question/4669292#readmore |
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