Question : A tangent is drawn from a point M to a circle, which meets the circle at T such that MT = 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length (in cm) of the chord AB?

Option 1: 16

Option 2: 10

Option 3: 12

Option 4: 9

Question : In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm, and AB = $x$ cm, then the value of $x$ is:

Option 1: $\frac{14}{9}$

Option 2: $\frac{1}{3}$

Option 3: $\frac{14}{3}$

Option 4: $\frac{4}{3}$

Question : In the figure, $\mathrm{XYZ}$ is a secant and $\mathrm{ZT}$ is a tangent to the circle at $\mathrm{T}$. If $\mathrm{TZ}=12$ $\mathrm{cm}$ and $Y Z=8 \mathrm{~cm}$, then find the length of $XY$.

Option 1: 8 cm

Option 2: 9 cm

Option 3: 6 cm

Option 4: 10 cm

Question : In the given figure, the diameter AB and chord CD of a circle meet at P. PT is tangent to the circle at T. If CD = 8 cm, PD = 10 cm, and PB = 8 cm, find AB.

Option 1: 14.5 cm

Option 2: 22.5 cm

Option 3: 12 cm

Option 4: 8 cm

Question : Which of the following statements is INCORRECT?

Option 1: If a chord is extended outside the circle on both ends then it is called a secant.

Option 2: Tangent is perpendicular to the radius of the circle at the point of contact.

Option 3: A line intersecting at two distinct points of a circle is called a tangent.

Option 4: A tangent is a line touching only one point of the circle.