IIT-JEE Exam

If the distance of the point P (1, -2, 1) from the plane x+2y-2z=i, where i > 0, is 5, then the foot of the perpendicular from P to the plane is

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IIT-JEE Other 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 A signal which can be green or red with probability 45 and 15 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 34. If the signal received at station B is green, then the probability that the original signal was green is
option
a) 3/5
b) 20/23
c) 9/20
d) 6/7