Question

Draw a circle having radius $3$ cm. Draw a chord XY = $5$ cm. Draw tangents at point X and Y without using centre.

Answer 1

Draw a circle of $r=3cm$

Take a point $X$ on it and mark a length $5cm$ and Join $XY$

Take a point $M$ on the major arc.

Join $MX$ and $MY$

Now,

$\angle RXY=\angle XMY$

and $\angle RYX=\angle XMY$

$XR$ and $YR$ are tangents.