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Question: A rectangular hyperbola xy = c<sup>2</sup> (c is purely imaginary) if a point on it is (a, a) where ...

A rectangular hyperbola xy = c2 (c is purely imaginary) if a point on it is (a, a) where 'a' is a positive number, a can take value-

A

3

B

1−32\frac{1 - \sqrt{3}}{2}

C

17

D

3/2

Answer

1−32\frac{1 - \sqrt{3}}{2}

Explanation

Solution

xy = c2 = –ve (Q c is purely imaginary)

Ю if x is positive y must be negative real

Ю 1−32\frac{1 - \sqrt{3}}{2}