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Question

Parametric equation of rectangular hyperbola xy = c2 is x = ct & y = ct where t ϵ R.


  1. False

  2. True


Solution

The correct option is A

False


Parametric equation of rectangular hyperbola xy = c2 is x = ct & y = ct

When we substitute x & y in the equation of hyperbola

ct × ct = c2 = R.H.s

so,given points are parametric equation of rectangular hyperbola xy = c2

But domain is given wrong 't' can't take all the real values when t=0 y = c0 is NOT defined.

so,t should be R-{0}

That is why give statement is false.

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