The correct option is B 3x+y=2
(1,−1) does not lie on the parabola y=x2−3x+2.
Let the slope of the tangent be m.
Then, equation of tangent is
y−(−1)=m(x−1)
or y=mx−m−1
Since, y=mx−m−1 is a tangent to the parabola y=x2−3x+2,
x2−3x+2=mx−m−1 should have equal roots.
x2−(m+3)x+(m+3)=0
D=0⇒(m+3)2−4(m+3)=0
⇒m=−3,1
Hence, equation of tangents are y=−3x+2 and y=x−2