Question

Which of the following statements given below are correct?

• A. $1$ and $2$ Only
• B. $3$ and $3$ Only
• C. $1$ and $3$ Only
• D. $1$, $2$ and $3$ all correct.

Answer 1

The correct option is D $1$, $2$ and $3$ all correct.

We know tangents are the line segments which touches the circle at one point and are always perpendicular to the radius at the point of contact.


Here in the above figure, $AB$ is tangent, $C$ is the point of contact and $OC$ is the radius of circle which is perpendicular to the tangent $AB$.

$\Rightarrow$Secants are line segments which cut the circle at two points and are drawn from outside the circle whereas end points of chords lie on the circle.

Here in the above figure, $AC$ is the secant of circle and drawn form point $C$ whereas $AB$ is the chord of the circle.

So, all the three statements are correct.
Hence, option $\left(d\right)$ is correct.