Question

What are the tools required for constructing a tangent to a circle?
A.Ruler
B.Compass
C.Pencil
D.All the above

Answer 1

Hint: We need to find the tools required for the construction of a tangent to a circle. To find the tools required for constructing the tangent to a circle, we will construct a circle and after this we will construct a tangent to it. Circle is a round plane figure whose circumference consists of points equidistant from the centre. A tangent to a circle is the line that touches the edge of the circle at a single point.

Complete step by step solution:
Let us construct a tangent to a circle to know about the tools required to construct a tangent.
Step 1: First we will draw a circle of unknown radius on a paper using a compass (remember that we can’t use a compass with a pencil). Mark the centre of a circle as $O$.
Step 2: Take a point $P$ on the circle and join $OP$ using a ruler.
Step 3: Now, construct $\angle OPT = 90^\circ $ using a compass.
Step 4: Produce $TP$ to $T'$ to get $TPT'$ the required tangent.

As you can see we have used the tools mentioned in the option.
So, the correct answer is “Option D”.

Note: Don’t construct any line without using a ruler. Draw straight lines only by using a ruler. Don’t use pen instead of pencil, because if any step gets wrong that can be corrected using an eraser. Don’t construct angles by just guessing the angle, use a compass.