Latest IIT-JEE Aptitude Question SOLUTION: The distance of the point (1, 1, 1) from the plane passing through the point (+1, 2, +1) and whose normal is perpendicular to both the lines L1 and L2 is

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Previous Question: Which of the following is true? (A) f(x) is decreasing on (-1, 1) and has a local minimum at x = 1 (B) f(x) is increasing on (-1, 1) and has a local maximum at x = 1 (C) f(x) is increasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1 (D) f(x) is decreasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1 Next Question: Consider the lines given by L1 : x + 3y - 5 = 0 L2 : 3x - ky - 1 = 0 L3 : 5x + 2y - 12 = 0 Match the Statements/Expressions in Column I with the Statements/ Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 + 4 matrix given in the ORS. Column I Column II (A) L1, L2, L3 are concurrent, if (p) k = -9 (B) One of L1, L2, L3 is parallel to at least one of the other two, if (q) k = -65 (C) L1, L2, L3 form a triangle, if (r) k = 56 (D) L1, L2, L3 do not form a triangle, if (s) k = 5

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The distance of the point (1, 1, 1) from the plane passing through the point (+1, 2, +1) and whose normal is perpendicular to both the lines L1 and L2 is: Asked In IIT-JEE MAN (10 years ago); Unsolved; Is this Puzzle helpful? (6) (0) Submit Your Solution

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Previous Question: Which of the following is true? (A) f(x) is decreasing on (-1, 1) and has a local minimum at x = 1 (B) f(x) is increasing on (-1, 1) and has a local maximum at x = 1 (C) f(x) is increasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1 (D) f(x) is decreasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1 Next Question: Consider the lines given by L1 : x + 3y - 5 = 0 L2 : 3x - ky - 1 = 0 L3 : 5x + 2y - 12 = 0 Match the Statements/Expressions in Column I with the Statements/ Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 + 4 matrix given in the ORS. Column I Column II (A) L1, L2, L3 are concurrent, if (p) k = -9 (B) One of L1, L2, L3 is parallel to at least one of the other two, if (q) k = -65 (C) L1, L2, L3 form a triangle, if (r) k = 56 (D) L1, L2, L3 do not form a triangle, if (s) k = 5

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