~ ~ v- (x-J}- +-· =l . " 'I· t ~r. the vertices of lhc ellipse 25 ?: 16. ENG. n t,1 "\; (x-l)2+Y2 =I . RE: Qucls son! )cs som~1cts de I 'cl~ipse _ 25 _ c[s)and(J,-5) 8 _(0,:,)m1d(O.-:,) c _(l,l)and(),-1) D. (0,l)am/(0,-1) r,_(O,~)~nd(J. 5) A. ENC- Which equation helow represents n parabola lhat opens upwnrd wi~h a vcrlcx at (0, -.::>) ?: 17·FJ~E ~-Laquelk des equations ci-dcssous rcprescntc cellc d'unc porn bole ouvcrtc vcrs le haul avcc un sommet en tO, - 5): y=x:+5 B. y=x:-5 c . y=(x-5)2 0 _ y=(x+5):? E. y=x+5 _ ~S. ENG: Suppose thut the probability ?f event M is 0.2 and the probability of 1::vent N is 0.4. Also, suppose that the two events arc imkpcndcnt. Then p (MIN) ts: E. A. P(M) = 0.2 B. P(M)/P(N) = 0.2/0.4 = 1⁄2 · C. P(M) x P(N) = (0.2) (0.4) = 0.08 D. P(N) = 0.4 None of the alxwe . . , , . ' . . , , , . , _, ., . FRE : On suppose que la probab1hte d un cvenemcnt M est 0,2 ct que la pmbab1hte d un c,-cnemcnl N est 0,4. On suppose egalement que Jes cleux evenements sont independants. Alor:,, P (MIN) est: A. P(M)=0.2 B. P(M)/P(N) =0.2/0.4 = 1⁄2 C. P(M) x P(N) =.(0.2) (0.4) =0.08 D. P(N) = 0.4 E. Aucune des rcponSl!S , 19. ENG: Consider the discrete random variable Y and its corresponding probabiiity distribution shov.·n below The c:-
l · E.r=O 22. ENG: Tpc statistical process of constructing a mathematical model orfonction that can be used to predict or dctcm1ine one vanable by m10ther variable is called: · A. regression B. c01Telation C. residual D. outliers E. programming ~RE: Le processus slalistiqucs de construction d'u11<.p1odel malhcmatiqlllC ou d'unc fonction qui pcutet:re utilise pour preclire ou cletem1iner unc variable par une aut.rc est appcle : A. regression 13. con-elation C. residue! D. donnecs aberrantcs E. programmation · · (d2 y) ( d ) 2 d - . --2 3 + x-1: +3-Z-s = 0 23. ENG: Whal is the degree and order of the dofferential equation d-c ' dx dt ?· ~ .de~~~~.=:. 2, order= 2 B. degree = 3, order= 3 C. degree = 2, or:der = 3 · · degi c1: - 3, order= 2 E. degree = 6, oder = 6 . (d2 yJ· 3 ( d ) 2 dv - 2 + x-Z +3-· -5=0 F~E : Quel est le dcgrc ct l'ordrc de !'equation diffcrenticlle dt dx '4_ A. D degre de = 2, ordrc = 2 B d · · - 3 ·d = 3 ' · " .. = . : eg1c - , m re ' C. degre = 2, ordre = 3 · gie 3, ordre = 2 E. degre = 6, odrc = 6 ?: Page 3 of 4
dv ,, . dv v . -·-+=- = _:::_+.::...=smx sm x · 1 u·1tio11 dx x 24. ENG: Solve the diffcrenlia eq ' FRE : Resoudie l'equntion differentielle dx x A. x(y+cosx) == B. x(y-cosx) = sin x +c C. x(y-cosx) = cosx+c sin x+c )'( X - COS X) == COS X + C D. E_y(x+cosx) = cosx+c h x = 2r + 1, Y = 12 - I at the noint _ .. , WI - 11 •·ciuation of the tmrnent to t e curve with purnmetric equations r 2:>. ENG. mt 1s 1e " ' ~ where t=I ?: 2 FRE :Quclle est , . x=2t+l.y=I -1 requotion de )3 t:mg.cnte ci la courbe d'equation parnmetnquc - au point con-cspondont a t= 1 ~ A.y==x+3 8 _y==x-3 c.Y=-x+..i 0 _ _v= - x-3 Ex= y-3 2 ,, 26. ENG. Given that the line J' = 111-'" + c is a tangent to ~he circle x + Y~ - 2Y = O, which of the following. is correct?: . 1/ = /JIX + C . x2 + v2 - ? V = 0 ... FRE: Etant donnc que la drmte J • est tangcnte au ccrclc · • -. , la quellc des propos1llons suivantes est juste?: c1 - 2c ,, c1 + 2c ., c2 + 2c ., c2 - 2c ,, c 2 m =--- nr=--- m-=--- - 2c A. m- =--- nr=--- 1-c'.! B. l+c:! c. 1-c2 D. l-c2 E. l+c2 27. ENG. If the foot of the perpendicular from the point (k, 0) to the line 4x - 3 Y + k?: 5 = () is (2, -3), what is the value of FRE : Si le pied de la perpcndiculairc du point ·(k, 0) passant par la droite 4x - 3 J' + 5 la valeur de k?: = Oest (2, -3), alors quclle est A. k=-2 B.k=2 c.k=-1 o.k=l E.k=-3 28. ENG. What is the distance of the point (0, -2) from the line 4x - 3 J' + 12 = 0 ?: FRE : Quelle est la distance du point (0, -2) 3 J3 droite 4x-3y+ 12 = 0 ?: 5 18 A. 18 B. -18 C. 18 D. 5 E. 5 29. ENG. What is the centre C and radius ,. of the circle 3x2 + 3 Y2 - l 2x-l 8 y- 36 = O ?: FRE: Quel est le centre C et le rayon rdu cerclc 3x2 + 3y'.! -12x-18y-36 = () '>· A_C(2,3),r = 5 B_C(-2,3),r=5 c _C(2,-3),r=5 D C(-2 -3) r=5 ,. C(" 2) _ - . ' , E. . . ..,, , r - ) 3() F.NG . • , . What 1s the modulus d w , • r;; - = 1 + i - an argument ot the complex number w given that z = v3 + i and z ?: FRE : Qucl est le module ct l'i 1 . ., . d · . r;; ~ = 1 +; 1 rtrnment u nomhrc complexc w sachant qu,. z = \/ 3 + i \w\=2 2,argw=!!_ I 'I 2 S1r c \ 1 et z /\.. 12 B li = 2,argw =-1? lwl = 2,argw = 5n · - C. 6 0 lwl = 2,argw = ~ lwl = r;:: 2 _ 5n · 12 E~ "..l,argw - - . 6
English