Question

Construct a chord of length $5cm$ in a circle of radius $3cm$. Construct tangents at the ends of the chord.

Answer 1

Given $R=3cm$
length of chord$=5cm$
$\therefore$ $PQ$ and $RS$ are tangents.
Construction of $C_1$ circle
Construction of chord $AB$

Tangent at $A$ (Since, tangent is perpendicular to the line AO)
Tangent at $B$ (Since, tangent is perpendicular to the line BO)

Hence, required construction is obtained.