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  3. (e) when newspapers were printed by lithograph, th

(e) When newspapers were printed by lithograph, the newsprint had to run over three rollers, illustrated...

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Advance Math

(e) When newspapers were printed by lithograph, the newsprinthad to run over three rollers, illustrated in the diagram below bythree circles. The centres A, B and C of the three circles arecollinear. The equations of the outer circles are (x + 12)2 +(y+15)2 = 25 and (x−24)2 +(y−12)2 = 100. Find the equation of thecentral circle.
Figure 1:
[10 Marks] i. Show that the equation of the tangent at thepoint P = (x1,y1) of the circle
2 2 ?x1 +g? x+y+2gx+2fy+c=0isgivenbyy−y1=− y1+f (x−x1).
[9 Marks]
ii. Show that the vector equation of a line is given by r = r0+ tv where
r, r0 ∈ V (V ector space) and t a parameter. [8 marks]

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