Solve this :  27.  Here another point means respect to the the given point such that the diameter comes out to be a straight line or we can directly apply section formula?

26. In what ratio does the point (-4, 6) divide the line segment joining the point A (-6, 10) and B (3, -8) ?
27. The centre C, of a circle has the coordinates (4, 5) and one point on the circumference is (8, 10). Find the coordinates of the other end of the diameter of the circle through this point.

 

Dear Student,

Please find below the solution to the asked query:

26 )



27 ) To get the coordinates of the other end of the diameter of the circle through this point , We use mid point formula as we know center is mid point of diameter of circle .

We know formula : ( x , y ) = x1 + x22 , y1 + y22 , Here from given information we have : x = 4 , y = 5  and x1 = 8 and y1 = 10 and we assume coordinates of the other end of the diameter of the circle through this point ( x2 , y2 ) , So

4 , 5 = 8 + x22 , 10 + y22 , So8 + x22 = 4 8 + x2 = 8x2 = 0 And 10 + y22 = 510 + y2 = 10y2 = 0Then, x2 , y2 = ( 0 , 0 )

Therefore,

The coordinates of the other end of the diameter of the circle through this point = ( 0 , 0 )                              ( Ans )

Hope this information will clear your doubts about topic.

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You can directly apply the section formula
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Hey I cannot able to solve it from method 2 Plzhave a look at this
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I am notable to upload IMG

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Plz tell if this works
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@anmol gaur: I know how to solve. But did you notice something??
You take any point of the circumfrrence the ratio is 1:1. It is not giving us a point that lies in same line
.... This is what my doubt is.
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What are you looking for?