Hinsberg's reagent is :

Molal depression constant for a solvent is 4.0 kg mol^–1. The depression in the freezing point of the solvent for 0.03 mol kg^–1 solution of K₂SO₄ is :
(Assume complete dissociation of the electrolyte)

The peptide that gives positive ceric ammonium nitrate and carbylamine tests is :

If the two lines x + (a – 1) y = 1 and 2x + a²y = 1 (a$$ \in $$R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :