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14Jai Baba Ki            ISC Mathematics – Class XII by Gupta–Bansal

          14. Match the following two lists:


                                                List-I                                               List-II


                                                                                                         π π

                (A) Interval contained in the domain of definition of non-zero                    (p)   − ,
                                                                                                         2 2
                                                                2 0
                      solutions of the differential equation (x − 3) y + y = 0

                                                                                                          π

                (B)   Interval containing the value of the integral                              (q)   0,
                                                                                                          2
                        5
                      Z
                         (x − 1)(x − 2)(x − 3)(x − 4)(x − 5) dx
                        1

                                                                                                        π 5π
                (C)   Interval in which at least one of the points of local maximum              (r)     ,
                                                                                                        8 4
                           2
                      of cos x + sin x lies
                                                                                                          π

                                          −1
                (D)   Interval in which tan (sin x + cos x) is increasing                        (s)   0,
                                                                                                          8
                                                                                                 (t)  (−π, π)







                                                       (p)  (q)   (r)  (s)   (t)

                                              (A)      p     q     r    s    t

                                              (B)      p     q     r    s    t


                                              (C)      p     q     r    s    t

                                              (D)      p     q     r    s    t



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