Question

Draw the tangents to the circle from the point $L$ with radius $2.9cm$. Point ${}^{\prime }{L}^{\prime }$ is at a distance $7.5cm$ from the centre ${}^{\prime }{M}^{\prime }$

Answer 1

1. Draw a circle with centre $M$ and radius $2.9cm$. Take a point $L$ outside the circle such that $LM=7.5cm$

2. Draw the perpendicular bisector of $LM$ and mark the midpoint as $P$.

3. Taking $P$ as the centre and $MP$ as the radius, draw a circle and let it intersect the original circle at points $A$ and $B$.

4. Join $L-A$ and $L-B$.

$LA$ and $LB$ are the required tangents.