CBSE2026Class Class 10 · Mathematics1 Marks · Long✅ Verified
Assertion (A) : Radius is the smallest distance of a tangent from the centre of the circle.
Reason (R) : Radius is perpendicular to the tangent.
✅ Answer & Solution
Step 1: Check Assertion (A). The perpendicular distance from the centre to a tangent is the radius, and the perpendicular distance is always the shortest distance from a point to a line. So Assertion (A) is TRUE.
Step 2: Check Reason (R). The radius drawn to the point of contact is perpendicular to the tangent. So Reason (R) is TRUE.
Step 3: Since the perpendicular is the shortest distance, the fact that the radius is perpendicular to the tangent is exactly why the radius is the smallest distance. Hence R correctly explains A.
