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The straight line y = a – x touches the parabola x2 = x – y if a = ....... |
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Answer» line: y = a – x Parabola: y = x – x2 ∴ a – x = x – x2 ∴ x2 – 2x + a = 0 ∵ line touches the parabola, roots should be equal. ∴ B2 – 4AC = (– 2)2 – 4(1)(a) = 0 ∴ 4 = 4a i.e. a = 1. |
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