Guest

The number of ordered pairs (α , β), where α , β belong to (-pi,pi)satisfying cos (α - β)=1 and cos (α + β)=1/e is A)0 B)1 C)2 D)4

The number of ordered pairs (α , β), where α , β belong  to (-pi,pi)satisfying cos (α - β)=1 and cos (α + β)=1/e is 
A)0    B)1    C)2   D)4 

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
7 years ago
The first eqn is easy and will give only one solution for alpha-beta

The second one, 1/e lies between 0and 1. i.e alpha +beta lies between 0 and 90.

But sesequently, the range would be higher than that for alpha and beta separately in whichalpha +beta can lie. This eqn hence will have 4 equalities. And hence, 4 solution for the values of alpha and beta which can ssatisfy the given eqns.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free