UPSEE 2017 Solved Paper

Given equation of parabola is
y=x2−2x+5 ......(i)
By putting x1=1,x2=3 in Eq. (i), we get
y1=4and y2=8
∴ Points on the parabola are (1,4) and (3,8)
Equation of the chord of given parabola by joining the points (1,4) and (3,8) will be
y−4=

8−4

3−1

(x−1)
y−4=2x−2
⇒ 2x−y+2=0
Now, equation of tangent parallel to chord will be
2x−y+k=0 ......(ii)
In given options, only option (b) satisfies the condition for Eq. (iii)
i.e. 2x−y+1=0 ......(iii)