Page 1 :
JELET-2019, Subject : DIPLOMA IN ENGINEERING & TECH., , (Booklet Number), , Duration : 2 Hours Full Marks : 100, , , , \S, , Engg. & Tech.-2019 [| III HINIHI, , Va, , 10., , ~, INSTRUCTIONS, , All questions are of objective type having four answer options for each. Only one option is, correct. Correct answer will carry full marks 1. In case of incorrect answer or any, combination of more than one answer, % marks will be deducted,, , Questions must be answered on OMR sheet by darkening the.appropriate bubble marked, A, B, C or D., , Use only Black/Blue ball point pen to mark the answer by complete filling up of the, respective bubbles., , Mark the answers only in the space provided. Do not make any stray mark on the OMR., Write question booklet number and your roll number carefully in the specified locations of, the OMR. Also fill appropriate bubbles., , Write your name (in block letter), name of the examination cet your full signature, , «, s wa, , , , in appropriate boxes in the OMR., The OMR is liable to become inv: ida ther, question booklet number/roll nu or if there is any discrepancy in the name/signature of, , é-ahy’ mi mistake in filling the correct bubbles for, , the candidate, name of the examination centre. The OMR may also become invalid due to, , folding or putting stray marks on it or any damage to it. The consequence of such, , “invalidation due to incorrect marking or careless handling by the candidate will be sole, , responsibility of candidate. >, , Candidates are not allowed to carry any written or printed material, calculator, pen, docupen, log table, wristwatch, any communication device like mobile phones etc. inside the, examination hall. Any candidate found with such items will be reported against & his/her, candidature will be summarily cancelled., , Rough work must be done on the question paper itself. Additional blank pages are given in, the question paper for rough work., , Hand over the OMR to the invigilator before leaving the Examination Hall.
Page 2 :
JELET-2019, , MATHEMATICS, , Choose the correct one:, , (A) Every non-singular matrix is orthogonal., (B) Every orthogonal matrix is invertible., (C) Every orthogonal matrix is symmetric., , (D) Every orthogonal matrix is skew symmetric., , 1, IfA= h i , then A!00is equal to, , , , (A) 21004 (B) 29.A, (C) 100A (D) 99A, a+b b+ce c+a la b ¢|, Ifa=/b+c c+a atblandB=|b c althen., c+a atb b+e Coa De, cee, (A) a=8 <cee®), (C) Bp=2a (D), 1 a22, The matrix A=3/2 1 b|obeys AAT=],, 2c¢cl, Then, (A) a=b=c=1 (B) a=1,b=c=-2, (C) a=2,b=1,c=-1 (D) a=0,b=1,c=2, 1f2.b+b.¢ = 2.2 =0, then 3.(B x)=, (A) anon-null vector (B) 1, © -1 OMESIED ITS, , JELET_Engg. & Tech. 3
Page 3 :
10., , JELET-2019, , The position vector of the points A, B, C, D are i +f + k, die 3}, 3i+ 5j- 2k and k , respectively., , — —, , Then AB and CD are, , (A) _ perpendicular to each other (B), (C) _ inclined at an angle 60° (D), , Pty ny Oba ye Tear Fey them ae TY ay ~ Kee where k=, , (A) 2 @), , © 3 ge, , , , (A) 0 (B), (©) 2f (0), f(x,y) = sin! 4 tan > then xf, + yf, is, , (A) 1 (B), () 3 (D), , parallel to each other, , inclined at an angle 45°, , Nie, , ad, , NI>, , The order of the differential equation associated with the parametric equation, , y=A+B log,x, where A and B are parameters, is, , (A) 4 @), © 2 (), , JELET_Engg. & Tech. 4, , 3, 1
Page 4 :
il., , 12., , 13., , 14,, , 15., , JELET-2019, , The integral curve of the differential equation (y ~ x) * = 1, passes through (0, 0) and, (a, 1)., , Then a =, (A) 2-e7! (B) 1-e?, (C) e! (D) l+e, , 3 7 . . dy I+y?., The solution of the differential equation dx 142 '8, , x, , (A) y=tan'xy+e (B) y-x=c(1+xy), (C) x=tanly+ec (D) tanxy=c, , (where c is arbitrary constant), , Integrating factor of the differential equation cos x gy +y si 1 is, dx re kel, , 2 oS aint, , (D) sinx, , (A) cosx, (C) secx, , , , , The complementary function of se + 4y = 2e* is, , (A) Ae?*+Be2* : (B) Acosx+B sinx, (C) Ae*t+Be* (D) Acos2x+B sin2x, , Three integers are chosen at random from the first 20 integers. The probability that their, product is even, is, , 2, , w % ®) +, 3, , Op Os, , JELET_Engg. & Tech. 5 A
Page 5 :
16., , 17., , 18., , 19., , 20., , JELET-2019, , Events A, B, C are mutually exclusive such that P(A)= seth P(B)= 1s P(C)= Le, , Then x lies in the interval, , (A) [0,1] 6) 4|, , 11 1 13, (©) [4] (D) [3-3], , 4, Taking n=4, by Simpson’s 1/3" rule, the approximate value of f2" dx=, 0, , 64 462°, , “3 Os, , 61 cod 65, , oO F a ®) F, oy, , , , , , The root upto the first apy ation of the equation x’ + 2x -1 = 0 in (0, 1) by Regula, , Falsi method is given byt, , Ni, , (A) 1 (B), , ale, , :, © 3 ), , The value of 3 correct to two decimal places by bisection method is, , (A) 1.63 (B) 1.65, (©) 1.64 (D) 1.62, (1 +4)(1-¥) =, , (A) 0 @) 1, , (C) A-v (D) v-4, [With usual symbols], , JELET_Engg. & Tech. 6 A
