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if the same pair of the values x, y satisfy the three equations ax+by+c=0 bx+cy+a=0 cx+ay+b=0 then find the relation between a, b, c. |
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Answer» Step-by-step EXPLANATION: Solving the first two EQUATIONS for x, y ; we get x = (c^2 - AB)/(b^2 - ac) and y = (a^2 -bc)/(b^2 -ac) . PUT these values of x, y in the third given equation, we get, c.(c^2 - ab)/(b^2 -ac) + a.(a^2-bc)/(b^2-ac) + b = 0 . It gives the required relation between a, b & c .Solve it further if desired. |
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