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find the equation to the straight lines joining the origin to the points in which the straight line y=mx+c cuts the circle, x^2+y^2=2ax+2by. hence find the condition that these points may subtend a right angle at origin

find the equation to the straight lines joining the origin to the points in which the straight line y=mx+c cuts the circle, x^2+y^2=2ax+2by. hence find the condition that these points may subtend a right angle at origin

Grade:12

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
11 years ago

Hi Suhas,

 

Homegenist the circle equation, wrt the given line....

And use the criteria (co-eff of x^2)+(co-eff of y^2) in the homogenised equation is zero.

 

And you'll get the condition.

 

Regards,

Ashwin (IIT Madras).

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