Suppose and ( 0) are such that ( + ) , sec and ( - ) are in A.P. If =k ( 2 ) for some k , then k is equal to

Step-by-step solution

Since, ( - ), and ( + ) are in A.P., aligned & 2 = ( - )+ ( + ) & 2 = ( + )+ ( - ) ( - ) ( + ) aligned aligned & 2 ( ^2 - ^2 )= [2 & ^2 (1- )= ^2 =1- ^2 & ^2 =1+ =2 ^2 2 & = 2 2 & But given = k 2 & k = 2 aligned