Question

In a circle of radius 3.5 cm draw two mutually perpendicular diameters. Construct tangents at the ends of the diameters.

Answer 1

• Draw circle of radius $3.5cm$ and center $O$
• Draw two diameters $AOB$ and $COD$ perpendicular to each other.
• Taking $OA$ and $OB$ as base and $A$ and $B$ as vertices respectively, draw $Y{Y}^{\prime }$ and $X{X}^{\prime }$ perpendicular to $OA$ and $OB$ respectively.
• Taking $OC$ and $OD$ as base and $C$ and $D$ as vertices respectively, draw $S{S}^{\prime }$ and $P{P}^{\prime }$ perpendicular to $OC$ and $OD$ respectively.

$X{X}^{\prime },Y{Y}^{\prime },S{S}^{\prime }$ and $P{P}^{\prime }$ are the required tangents.