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  • find the equation of circle which passes through the origin and cut off chord of length a from each of the line y =x

15506436119916298044482752558204.jpg Find the equation to the circles which pass through the origin and cutoff equal chords 'a' from the straight lines y=x and y=-x

Answers (1)

best_answer

@Apoorva

In the above figure

green point is A, blue point is B

now,

\\since,length\:of\:chord\:is\:"a"\:unit\\point\:A\:is\:\:(\frac{a}{\sqrt2},\frac{a}{\sqrt2})\:\:point\:B\:\:is\:(\frac{a}{\sqrt2},-\frac{a}{\sqrt2})\\point\:A\:and\:B\:are\:the\:end\:pint\:of\:the\:diameter\:of\:circle\\(x-\frac{a}{\sqrt2})(x-\frac{a}{\sqrt2})+(y-\frac{a}{\sqrt2})(y+\frac{a}{\sqrt2})=0  

Posted by

himanshu.meshram

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