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 : Two circles each of radius 36 cm are intersecting each other such that each circle passes through the centre of the other circle. What is the length of the common chord to the two circles?

Option 1: $24 \sqrt{3}$ cm

Option 2: $12 \sqrt{3} $ cm

Option 3: $36 \sqrt{3}$ cm

Option 4: $16 \sqrt{3}$ cm

Question : A 15 cm long perpendicular is drawn from the centre of a circle to its 40 cm long chord. Find the radius of the circle.

Option 1: 25 cm

Option 2: 27 cm

Option 3: 22 cm

Option 4: 20 cm

Question : The perpendicular distance between the centre of a circle and the longest chord of that circle is _______.

Option 1: 1

Option 2: 0

Option 3: 2

Option 4: π

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.