The correct option is A (52,−1)
x−y−3=0 ⋯(1)
will be chord of contact of the parabola
y=x2−4x+3
Let the required point is P(x1,y1), then chord of contact for point P is
y+y12=xx1−4(x+x1)2+3(2x1−4)x−y+(−4x1−y1+6)=0 ⋯(2)
Comparing equation (1) and (2)
2x1−4=1, −4x1−y1+6=−3x1=52, y1=−1
So, required point is (52,−1)