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13., , 1eA(x) = [then the points of discontinuity of, , the function f(x) (where f= fof ... of n times),, is/are, , a x=2, e. x=-1, , b. x= (01), dd. Continuous everywhere, , ! 2, of hx) x 17x46" , (Fa), , discontinuous at x is equal to, , b., e -4 a4, is ifx<0, r it =0,, Let fix) = =, ve ifx>0, Viéevn—4, a ; bo, 1, © 3 dw», , , , rm aye, , 1, a4 bo, ©. a d «, Iffx) = =e is, , x, at continuous atx = 07, , a. A@=~2,.B=Oand {0)*-1, b. AW 0, Be-2and/(0)*1, ¢. Awl, Be land {0)=0, d. None of the above, , |xe3] if, 2x,, , x<-3, if -3<x<3is, if, , Which of the following is not continuous for all, ”, , a. [x=1+|x-2) b. x'=|x-x4, ©. sin{x|+|sinx| d. cosx, Let fix) =x’ +x be function and, , flx|, x20, soo {rcp xe, , a. g(x) is continuous, yx eR, , b. g(x) is continuous, yx @ R “only, ¢. g(x) is continuous, yy ¢ R “only, d. g(x) is discontinuous, ¥x « R =~, , , , , , , , MATHEMATICS — MHT-CET

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21., , , , Match the terms of column I with the columa 1, Il and select the correct option. a. (0,0) b (0.5), Columa I Column Ht 2, . (01 d (LI, A. tim SS" is equal to Ls - =. ony, B tm 5-75) 1s equal 10 20 25. Uff (x) = lim(sinx)"" then fis, 4. continuous at x =, Cc lims+ View ~Vine isequalto 3.3 b. discontinuous at x =, 7 ¢. discontinuous at finite number of points, D, tag 2 is cspal to at, oe er 2 d. discontinuous at x = ~, Codes 4 ., AB cD 458 © 8 26. If f(x) = sgn (x’— ax + 1)has maximum number, al 2 eh & € F of points of discontinuity, then, b4 3 24h @ Tt Ff a. ae (-2,2) b. a€Q.”), The value of f(0), so that the function ce. ae(-~3) d. None of these, 1-cos(1-cosx) 27. Which of the following functions has removable, {x)= ———" 7 is continuous everywhere discontinuity at x = 1?, , ninawf eh}, , , , b3, d. None of these, 70, 12(in4y’, mal | If fix) = ket, xno % comtinnons ant, ~; pees cnt Qentawneotke, a3 a4 a b =2, Ifthe function «3 a 3, x+a'visinx O<x<% x?, 4 30. If (x) = 2x and g(x) = —-+!, then which of the, ® x, xcotx +b 3s*<7 following can be a discontinuous function?, fx)= . a. fix) + g(x) b. flx)- ax), bsin2x-—acos2x, =<x<x ©. fix): gi) d. gfx), 2 31, Identify the correct combination of true (T) and, is continuous in the interval [0, 7}, then the values false (F) statements given below. /, of (a, b) are (i) If( is continuous on its domain D, then 1(1 is, , also continuous on D.