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Grade: 12th pass
        
length of y intercept on positive y axis made by the circle for which (-4,3) and (12,-1) are extremities of a diameter
2 months ago

Answers : (2)

Saurabh Koranglekar
askIITians Faculty
3156 Points
							Dear student

Eqn of circle ( x-4) sqr. + ( y-2) sqr = 0.5* sqrt( 272)

Y intercept = 2*( sqrt( f*f - 2))

Put it in formula and get the result

Regards
2 months ago
Vikas TU
9095 Points
							
Dear student 
Dear Student, 
The center will be ((−4+12)/2,(3−1)/2)= (4,1)
and radius diameter will be =sqrt((−4−12)^2+(3+1)^2) = 272
So radius = √272/2
So equation is (x−4)^2+(y−1)^2= 272/4= 68
Now if it cuts y axis then x = 0 
16+(y−1)2=68
 y −1 = √(68−16)= √52
So y = 2√13 +1
Regrads
2 months ago
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