EAMCET Engineering 2004 Solved Paper

Since, the line l meets the circle x2+y2=61 at two points A and B.∵PA=PB=10
∴PM is perpendicular to AB and OM is perpendicular to the chord AB, therefore line OP is perpendicular to AB.
∴ The slope of line PO is −‌

6

5

.
Now, taking option (c).
Let the required line be 5x−6y+11=0 its slope is ‌

6

5

. Now, ‌‌‌

5

6

×(−‌

5

6

)=−1
Therefore our assumption is true.