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The vector equations of two lines L_1 and L_2 are respectively vec r=17hat i–9hat j+9hat k+ lambda(3hat i +hat j+ 5hat k) and vec r=15hat –8hat j-hat k+mu(4hat i+3hat j) I L_1 and L_2 are skew lines II (11, -11, -1) is the point of intersection of L_1 and L_2 III (-11, 11, 1) is the point of intersection of L_1 and L_2. IV cos^-1 (3/sqrt35) is the acute angle between _1 and L_2 then , which of the following is true?

A rod is formed by joining two cylinders each having a length l and cross sectional area S. The densities of cylinder are rho and 2rho respectively. The rod is now horizontally suspended in a liquid of density 4 rho with help of two string as shown in the figure. The entire setup is kept inside a lift. For the quantities given in List I select the correct value from those mentioned in List II. {:("List-I",,"List-II"),("(P)Tension in string 1 if the lift is moving upwards with constant velocity",,(1) 11/8 rhoSl g),("(Q)Tension in string 2 if the lift is moving upwards with constant velocity",,(2) 9/8 rhoSlg),("(R)Tension is string 1 if lift is moving downwards with an acceleration of g/2",,(3) 11/4 rhoSlg),("(S)Tension in string 2 if the lift is moving downwards with an acceleration of g/2",,(4) 9/4 rhoSlg):} Choose the correct option :

A word is represented by only set of numbers as given in any one of the altenatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column. e.g., 'A' can bc represented by 02, 11 etc. and 'L' can be represented by 56, 67 etc. Similarly, you have to identify the set for the word 'BEARD'.

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