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The equation of the line passing through (–4, –3, –1), parallel to the plane x + 2y – z – 5 = 0 and intersecting the line x + 1/-3 = y - 3/2 = z - 2/-1 is |
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Answer» Correct option (4) x + 4/3 = y- 3/-1 = z - 1/1 Explanation: Let P.O.I. of line is (–3λ – 1, 2λ + 3, – λ + 2) Direction cosines of line is (–3λ + 3, 2λ, –λ + 1). Since this line is parallel to x + 2y – z = 5 hence dot product is zero. (–3λ + 3)1 + 4λ –1(– λ + 1) = 0 λ = –1 Hence direction cosines 6, –2, 2 are x + 4/3 = y- 3/-1 = z - 1/1 |
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