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 19. Area      =   length ´ width 6x - 3    =    2x - 1 ´ width width     =    6x - 3              Ans : C Extend AB to meet EC at G Ð BGE = b                              [alternate angle] Ð BGC = 180 - b                    [linear pair] Ð GBC = 180 - a                    [linear pair] Ð BGC + Ð GBC + Ð BCG     =    180             180 - b + 180 - a + c     =    180                     a + b - c Ans : B       a     =    first term              =    14 - 8              =     6       tn    =    a + (n - 1) d where n  =   9, d   =  common difference    =    8          t9  =     6 + (9 - 1) ´ 8               =    6 + 8 ´ 8               =    70 Ans : A If triangles are similar Ratio of Areas = Square of Ratio of sides/ altitudes                  A(DDEF)   =    16 ´ 8                                    =   128 Ans : D The distance between base of mountain & sea - level        = (2200 - 1500) - 250        = 700 - 250        = 450 Ans : B Index Part I