TS EAMCET 19-July-2022 Shift 1 Solved Paper

Given, curve : x2+y2−2(x+2y)(1)+2(1)2=0
Given, straight line ‌

x+y

k

=1
Now, the line joining the origin to point of intersection of the given line and given curve is
If the two homogenous lines are perpendicular, then coefficient of x2+ Coefficient of y2=0
k2−2k+2+k2−4k+2‌=0
2k2−6k+4‌=0
k2−3k+2‌=0
k‌=1,2
∴ Sum of value of k=1+2=3