Guest

Find the equation of circle having x-y-2=0 and x-y+2=0 as two tangents and x-y=0as diameter?

Find the equation of circle having x-y-2=0 and x-y+2=0 as two tangents and x-y=0as diameter?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear arzoo unvi

given tangent and diameter all three lines are paralllel to each other

 

5824-1485_7662_circle.JPG

 

Distance between diameter and any tangent will be equal to radius

that is equal to 2√2

let center is (h,k)

center lie on x-y=0 so h=k

so equation of circle is (x-h)2 +(y-h)2 =8

a fimily of circle is obtain with variable centter


Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

 

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free