IIT-JEE Exam

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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IIT-JEE Other 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 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