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Time : 2 hours Full Marks : 100, , Booklet No., , 88115903, JELET—2018, , For Diploma in Engg. & Tech. Candidates, , , , , , 9., , , , 10., , Instructions, , All questions are of objective type having four answer options for each. Only one option is, correct. Correct answer will carry full mark 1. In case of incorrect answer or any, combination of more than one answer, % mark 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., , 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 centre and put your full, signature in appropriate boxes in the OMR., , The OMRs will be processed by electronic means. Hence it is liable to become invalid if, there is any mistake in the question booklet number or roll number entered or if there is, any mistake in filling corresponding bubbles. Also it may become invalid if there is any, discrepancy in the name of the candidate, name of the examination centre or signature of, the candidate vis-a-vis what is given in the candidate’s admit card. 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, docu-pen,, log table, any communication device like mobile phones etc. inside the examination hall., Any candidate found with such items will be reported against and 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., , , , Engg & Tech/JT3 1 [ P.T.O., , wn, m, >

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Direction : Question Nos. 1 to 70 for all candidates, , 1., , Mathematics, , The number of real roots of the equation xi +x-1=0is, , (A) 0 (8) 1 (C) 2 (D) 3, Let, 12 24 §, A=|x 6 2, -1 -2 3, , The value of x for which A is not invertible is, (A) 6 {B) 12 (Cc) 3 (D) 2, , Let the quadratic equation ax? +bx+ce=0 have imaginary roots only and the real, coefficients a, b, c obey the relation a+b+c<0. Then, , (A) a>0,c<0 (B) a<0,c>0 (C) a>0,c>0 (D) a<0,c<0, Ifa, B, y are the roots of the equation x3 +3x? +x-1=0, then the value of Zap is, (A) -6 (B) 6 (c) 4 (D) -4, 1-1), if (=) =atib(a, be Rj, then, 1+i, (A) @=2,.b=-1 (8) a=1b=0, (C) a=0 b=1 (D) a=-], b=2, The polynomial x" +1 is divisible by (x + }) if, (A) nis odd (B) nis even, (C) nis any number (D) nis any integer, If the equation 2hxy+ gx + fy+c=O(h# 0) represents a pair of straight lines, then, (A) fo=ch (B) fg=2ch, (C) 2fg=ch (D) fgh=c?, The ratio in which the straight line joining the points (J, - 3, 5) and (7, 2, 3) is divided by the, x-y plane is, (A) 3:5 internally (B) 5:3 externally, (C) 5:3 internally (D) 3:5 externally, , Engg & Tech/JT3 3 [ P.T.O.

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x, 9. The minimum value of = is, x, , = 3, (a) e ) = cq <= (D) e?, , 10. The curve y=5+sin(x-5), (A) does not cut the xaxis, (B) cuts the axis at one point only, (C) cuts the x-axis at finitely many points, , (D) cuts the x-axis at infinitely many points, , 11. Let f(x) = e%, ox) = loge x(x > 0), then (go f)’(x) where (go f)(x) = gLf (x)] is equal to, , (A) 0 (B) 1 (C) e (D) 1+e, 12, If f(x, y)=x? + x2 y- xy? -y?, then xy is equal to, ax oy, (A) fly ») (B) 3f (x y) (C) 2F(% y) (D) x3 -y8, , 13. The value of, , f x71, , , , , , ay, 2 {50(xe2), x,, , is, , 1 1x? 41 1 -1x2 +1, (A) a tant %_*? — tan, gr yee *° ®) oy” ex *°, , 1 yx? -1 1 -)x4-1, C) tan ——_— md, oe se sg" et?, , (c is constant of integration), , Engg & Tech/JT3 4

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2,, 14. The value of ina ere is, , l+e*, , 1 5, (A) log— (B) log~, (A) logs (B) logs, 3 7, {C) logs (D) logs, 15. The curve (3x? +4y?)? -(7x? +2y?) = 0 has, (A) no tangent at origin {B) one tangent at origin, (C) two tangents at origin (D) three tangents at origin, 16. The equation of the normal at (é Se) of the circle x? + y? a? is, (A) x+V3y=2a (B) V3y-x=a, (C) ¥3x+y= 3a (D) V3x-y=0, , 17. The differential equation y dx -2x dy= 0 represents a family of, (A) straight lines (B) parabolas, , (C) circles (D) catenaries, , 18. The family of circles having centre at origin, is represented by the differential equation, , (A) x- yt =o (8) x+yt=o, dy, Cc} oye D) yrx Ye, (C) y- xf a 0 @) y+xe 0, 19. If, cos6 sin®, = R, , (Some oe @eR), then A is, (A) symmetric {B) skew-symmetric, {C) orthogonal (D) singular, , Engg & Tech/JT3 5 [ P.T.O.