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FIITJ Solutions to AIEEE - 2008 FIITJEE Ltd ., ICE S Ho use, 29 – A , K alu Sar ai, Sar vap riy a V iha r, New Delh i - 110 016 , Ph 265 159 49, 265 694 93, Fax : 0 11- 265 139 42. 1 A A I I E E E EE E– –200 08, P P A A P PE E R R ( ( C C 5) ) Note: (i) The test is of 3 hours duration. (ii) The test consists of 105 questions of 3 marks each. The maximum marks are 315. (iii) There are three parts in the question paper. The distribution of marks subjectwise in each part is as under for each correct response. Part A Mathematics (1 05 marks ) 35 Questions Part B Chemistry (10 5 marks) 35 Questions Part C Physics (105 marks) 35 Questions (iv) Candidates will be awarded three marks each for indicated correct response of each question. One mark will be deducted for indicated incorrect response of each question. No deduction from the total score will be made if no response is indicated for an item in the Answer Sheet. M M a t th e e m ma a t ti c c s s PART A 1. AB is a vertical pole with B at the ground level and A a t the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60 °. He moves away from the pole along the line BC to a point D such that CD = 7 m. From D the angle of elevation of the point A is 45 °. Then the height of the pole is (1) 7 3 1 2 3 1 ⋅ − m (2) ( ) 7 3 3 1 2 ⋅ + m (3) ( ) 7 3 3 1 2 ⋅ − m (4) 7 3 1 2 3 1 ⋅ + Sol: (2) BD = AB = 7 + x Also AB = x tan 60 ° = x 3 ∴ x3 7 x = + x = 7 3 1 − AB = ( ) 7 3 3 1 2 + . 45° 60° A B C D 7 x 2. It is given that the events A and B are such that P (A) = 1 4 , A 1 P B 2 = and B 2 P A 3 = . Then P (B) is (1) 1 6 (2) 1 3 (3) 2 3 (4) 1 2 Sol: (2) ( ) ( ) PA B 1 2 PB ∩ = , ( ) ( ) P A B 2 3 P A ∩ = Hence ( ) ( ) P A 3 4 PB = . (But P (A) = 1/4) ⇒ ( ) 1 P B 3 = . File hosted by educationobserver.com/forum

AIEEE 2008 Previous Year Solved Paper JEEMain Model Paper

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