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Algebra

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

a) -2

b) k>2

c) 0

d) none of these

Profile image of pranshu aggarwal
15 Years agoGrade
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1 Answer

Profile image of jitender lakhanpal
15 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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