TS EAMCET 11-Sep-2020 Shift 1 Solved Paper

The combined equation of pair of lines joining point of intersection A and B of the line L=x+y−λ=0 and the curve
x2+y2−2x−4y+2=0 to the origin ' σ is
Since, ‌‌∠AOB=90∘...(i)
∴ Sum of the coefficients of x2 and y2 terms is zero.
⇒(λ2−2λ+2)+λ2−4λ+2=0
So, the possible equation of line L are
x+y−1=0 and x+y−2=0
Therefore the required distance =‌

1

√2

.