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the equation !z+i!-!z-i!=k represents a hyperbola if a) -2 b) k>2 c) 0 d) none of these

the equation !z+i!-!z-i!=k represents a hyperbola if


a) -2

b) k>2


c) 0

d) none of these

Grade:

1 Answers

jitender lakhanpal
62 Points
12 years ago

Dear PRANSHU,

 !z+i!-!z-i!=k     

THE ABOVE EQUATION WILL REPRESENT THE HYPERBOLA ANY K OTHER THAN K = 0.

FOR K = O IT WILL BE THE LOCUS OF PERPENDICULAR BISECTOR.

THE GENERAL EQUATION OF HYPERBOLA IS

!z+i!-!z-i!=CONSTANT      OTHER THAN 0

 

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