Question : The number of parallel tangents of a circle with a given tangent is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : Select the INCORRECT statement with respect to the properties of a circle.

Option 1: Two tangents drawn at the end of the diameter of a circle are parallel.

Option 2: The radius drawn perpendicular to a chord bisects the chord.

Option 3: The diameter of a circle is the longest chord of a circle.

Option 4: The perpendicular distance from the centre of a circle increases when the length of a chord increases.

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.

Question : Two circles touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of the second circle with centre P is 3 cm. Find the length of their common tangent AB.

Option 1: $3\sqrt{2}$ cm

Option 2: $4\sqrt{2}$ cm

Option 3: $6\sqrt{3}$ cm

Option 4: $6\sqrt{2}$ cm

Question : Select the correct option concerning the given statement.
Two tangents are drawn at the end of the diameter of a circle.

Option 1: They intersect each other.

Option 2: They pass through the origin.

Option 3: They are parallel to each other.

Option 4: They are perpendicular to each other.

Question : The radius of a circle is 6 cm. The distance of a point lying outside the circle from the centre is 10 cm. The length of the tangent drawn from the outside point to the circle is:

Option 1: 5 cm

Option 2: 6 cm

Option 3: 7 cm

Option 4: 8 cm