Question

Construct a circle of radius $3cm$. Take a point $P$ on it. Construct a tangent to circle at $P$ without using the centre of the circle.

Answer 1

Given radius is $3cm$

Now,

We draw a circle of radius $3cm$.

Take any point $P$ on this circle . we have to draw tangent to this circle posing through $P$.

Draw any chord $PA$.

Take a point $B$ in the major arc. Join $BA$ and $BP$.

Draw angle$ABP=$ angle $\Delta APX$.

Extend $XP$ along $P$ to $Y$.

then,

$XY$ is the required tangent.