Analytical Geometry> circle...

a circle which touch two side of square of area 1 and passes through exactly one vertex of square so find the radii of circle...??

atul bhardwaj , 13 Years ago

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1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:

Let circle touches the x-axis & y-axis at P & Q respectively. Then

$P(a, 0), Q(0, a)$

Equation of circle:

$(x-a)^{2}+(y-a)^{2} = a^{2}$

It passes through one of its vertex whixh is (1, 1). We have

$(1-a)^{2}+(1-a)^{2} = a^{2}$

$a^{2}-4a+2=0$

$a = \frac{4\pm \sqrt{8}}{2} = 2 \pm \sqrt{2}$

$a = 2 -\sqrt{2}$

Thanks & Regards

Jitender Singh

IIT Delhi

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Analytical Geometry> circle...

a circle which touch two side of square of area 1 and passes through exactly one vertex of square so find the radii of circle...??

atul bhardwaj , 13 Years ago

Jitender Singh

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