A circle touches the y axis at 0,3 and cuts and interept of 8 units on x axis pls explain me the doubts

  1. What is the differrence between touhing and forming intrcept?
  2. The radius =8 so can we solve the eqn of circle by the points 0,3 and 8,0
  3. pls explain me the easiest method with formula

thanks in advance



The case shown here can be reverse also , it means it can be in negative side of x-axis also .
Here TS = 8 , so PT = PS = 4
And OP = 3
Hence OT = 32 +42 = 52
Hence the radius = 5

And coordinate of O is (5 , 3 )
Here 5 can be negative as well as positive.

So the equation are (x -5)2 + (y -3)2 = 25
(x+5)2 +(y-3)2 = 25

Touching means P and ST is the intercept.

  • 46

Also what is the formula where y-c the whole square = y-3 the whole suare = y sq+ 2fy+c sq

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