Question

$P$ is outside circle with center $O$.

Here are the steps of construction arranged randomly to construct a pair of tangents from?

$\left(a\right)$ Taking midpoint of $OP$ as center, we draw a circle of radius $\frac{OP}{2}$

$\left(b\right)$ Join $OP$

$\left(c\right)$ Join $P$ to the points at which the drawn circle touches the circle with center $O$

$\left(d\right)$ Bisects $OP$ and get the midpoint.

Which is $3^{rd}$ step in the correct order of the steps of construction?

• A. $\left(a\right)$
• B. $\left(b\right)$
• C. $\left(c\right)$
• D. $\left(d\right)$

Answer 1

Answer: (A)

$\left(a\right)$

The correct order of the steps of construction will be:

$\left(b\right)$ Join $OP$

$\left(d\right)$ Bisect $OP$ and get the midpoint.

$\left(a\right)$ Taking midpoint of $OP$ as center, we draw a circle of radius $\frac{OP}{2}$

$\left(c\right)$ Join $P$ to the points at which the drawn circle touches the circle with center $O$.