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If `a !=b != c`, lf `ax + by + c = 0, bx + cy + a = 0 and cx+ay + b = 0` are concurrent. Then the value of `2^(a^2 b^-1 c^-1) 2^(b^2 c^-1 a^-1) 2^(c^2 a^-1 b^-1)`A. 8B. 0C. 2D. None of these |
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Answer» Correct Answer - A `|{:(a , b, c ), (b ,c ,a), (c,a , b):}|= 0` `implies 3acb - a^(3) - b^(3) -c^(3) = 0 ` `implies a^(3) + b^(3) + c^(3) = 3abc` `2^((a^(2))/(bc)) . 2^((c^(2))/(ab)) . 2^((c^(2))/(ab)) = 2^((a^(3) + b^(3) + c^(3))/(abc) ) = 2^(3) = 8` |
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