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the equation cosß = t + a⁄t , t € R ( t ≠ 0) has a real solution of ß.Then the boundary satisfied by a is

the equation   cosß  =  t + a⁄t , t € R ( t ≠ 0) has a real solution of ß.Then the boundary satisfied by   a   is

Grade:12

1 Answers

Askiitian.Expert Rajat
24 Points
12 years ago

H i Prakhar,

 

|t + a⁄t| < 1

implies

t2+ a - t < 0 if t>0

and

t2+ a - t > 0 if t<0

 

Now use inequalities and the graph of y = x2+ a - x

to find out the range of values of a

 

Regards

Rajat


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