(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)1,2eof 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