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If the curve \mathrm{x y=R^2-16} represents a rectangular hyperbola

whose branches lie only in the quadrant in which abscissa &

ordinate are opposite in sign but not equal in magnitude, then

Option: 1

\mathrm{|R|<4}


Option: 2

\mathrm{|R|\geq 4}


Option: 3

\mathrm{|R|= 4}


Option: 4

None of these


Answers (1)

best_answer

(a)  According to the problem we have

\mathrm{\begin{aligned} & x y<0 \Rightarrow R^2-16<0 \\ & \Rightarrow|R|<4 \end{aligned}}

Posted by

Shailly goel

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