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 : 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 : Which of the following statements is INCORRECT?

Option 1: The radius is the longest chord of a circle.

Option 2: The ratio of the circumference of two circles is equal to the ratio of their radii.

Option 3: The perpendicular drawn from the centre of the circle on the chord of the circle bisects the chord.

Option 4: Circles are congruent to each other if they have equal radii.

Question : The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

Option 1: 10 cm

Option 2: 13 cm

Option 3: 12 cm

Option 4: 24 cm

Question : A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm, and PB = 22.5 cm, then the radius of the circle is:

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

Option 2: $\sqrt{19} {~cm}$

Option 3: $\sqrt{17} {~cm}$

Option 4: $3 \sqrt{2} {~cm}$