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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

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

Grade:12

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Suhas,

 

This is possible only when x-axis is the diameter.

So r = a/√2. And cetre is (0,a/√2)....

 

Hence you can get the equation, with centre and radius.

 

Best Regards,

Ashwin (IIT Madras).

Jaskaran Singh
15 Points
9 years ago

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