Let C be the locus of the mirror image of a point on the parabola y² = 4x with respect to the line y = x. Then the equation of tangent to C at P(2, 1) is :

If the three normals drawn to the parabola, y² = 2x pass through the point (a, 0) a $$\ne$$ 0, then 'a' must be greater than :

The shortest distance between the line x $$-$$ y = 1 and the curve x² = 2y is :

A tangent is drawn to the parabola y² = 6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT lie on it?