The shortest distance between the line y - x = 1 and curve y = x^{2} is

- √3/4
- 4/√3
- 8/3√2
- 3√2/8

**Answer**

y - x =1

y = x^{2}

2y dy/dx = 1

dy/dx = 1/2y = 1

y = 1/2, x = 1/4

Tangent at (1/4,1/2)

1/2y = 1/2(x + 1/4)

y - x = 1/4

**The correct option is D.**