The intercept made by the circle x2+y2−6x+2y−28=0  on the line              2x – 5y + 18 = 0 is

Given circle is x2+y2−6x+2y−28=0 ….(1) Centre (3,−1), r=38 and given line is 2x−5y+18=0 ….(2)d =perpendicular distance from centre to (2)=|6+5+18|29=29 ∴ The intercept made by (1) on the line=2r2−d2 =238−29=6