# B p q r s c q p s r d s q p r 38 tangent is drawn at

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(B)pqrs(C)qpsr(D)sqpr38.Tangent is drawn at any point (xi, yi) on the curve(x,y) = 0, which intersects the x-axis at (xi +1,0).Now again, tangent is drawn at (xi+1, yi+1) whichintersects the x-axis at (xi+2,0) and so on (i = 1,2,....n)match the following List-I withList-IIto each of the questions is a single digit integer, rangingfrom 0 to 9. The appropriate bubbles below the respectivequestion numbers in the ORS have to be darkened. Forexample, if the correct answers to question numbers X, Yand Z(say) are 6, 0 and9, respectively, then the correctdarkening of bubbles will look like the following :List - IList - II(A) xy2= 1(P)The sequence x1, x2......x4areterms of G.P.(B)y = e–3x(Q)The sequence x1, x2, x3.....x4is periodic with period 2(C)y = –cot–1x (R)The sequence x1, x2........x4forms an increasing A.P.(D) y2= x(S)The sequence x1, x2, x3.....is decreasing39.Match the followingColumn –IColumn –II(A)The most appropriate(P)[–1, 2)interval of a for which theequation ax2=logx hasreal roots(B)The most appropriate interval(Q)1,2eof a for which the equation|log x| – ax = 0 possesthree root(C)The most appropriate interval(R) (1,)of a for which the equationx3–3x+[a] = 0 (where [.]denotes the greatest integerfunction) will have three realand distinct roots(D)The interval of x in which(S)(0, 1/e)exlnx >lnxexSECTION-EInteger Answer TypeThis section contains Integer type questions. The answerto each of the questions is a single digit integer, rangingfrom 0 to 9. The appropriate bubbles below the respectivequestion numbers in the ORS have to be darkened. Forexample, if the correct answers to question numbers X, Yand Z(say) are 6, 0 and9, respectively, then the correctdarkening of bubbles will look like the following :0XYZ12345678901234567890123456789
Application of DerivativesAakash Institute(10)40.The maximum value of22234xx4x5(where1x3)is41.If the tangent at any point P (4m2, 8m3) of y2= x3isa normal also to the curve, then find the value of27m242.The set of values of p for which the equationn xpx0possess three distinct roots is10,, then floor() =43.If 4x2+ y2= 1, then the maximum value of12x2– 3y2+16xy is...........44.Let y = f(x) be a parametrically defined expressionsuch that x = 3t218t + 7 and y = 2t315t2+ 24t +10t[0, 6]. If the minimum and maximum val-ues of y = f(x) be m and M respectively thenMmis............45.If f is continuous function satisfying f(f(x)) = 1 + xxR. then f(1) is equal to _____.46.The minimum value of k (kI) for which the equa-tion ex= kx2has exactly three real solutions, is________.
Aakash InstituteApplication of Derivatives(11)ANSWERSLEVEL-1CPP-06SS JEE(M) &ADVANCEDLEVEL-21.(D)2.(D)3.(A)4.(B)5.(A)6.(A)7. (C)8.(C)9.(D)10. (A)11. (C)12. (A,B,D)13.(A,B,D)14. (A,B,D)15. (B,C)16. (A,C)17. (D)18. (A)19. (D)20. (D)21. (3)22. (1)23. (9)24. (3)25.(5)26. (2)1.(B)2.(C)3.(D)4.(D)5.(B)6.(D)7.(A)8.(A)9.(A)10. (C)11.(C)12.(B)13. (B)14.(A,C)15.(A,B)16. (B,C,D)17.(C)18.(A)19. (B,C)20.(A,D)21.(A)22. (B,C,D)23.(C,D)24.(A,C)25. (C,D)26.(A,B,D)27.(B,D)28. (B,D)29.(A,D)30.(B)31. (D)32.(D)33.(D)34. (C)35.(B)36.(D)37. (B)38.(A-P B-R C-S D-Q)39.(A-Q B-S C-P D-R)40.(6)41. (3)42.(2)43.(5)44.(7)45.(1)46. (1)
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