Question : Two concentric circles are drawn with radii of 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?

Option 1: 34 cm

Option 2: 24 cm

Option 3: 48 cm

Option 4: 12 cm

Question : Let O be the centre of the circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT, if PA = 3 cm and AB = 9 cm.

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

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

Option 3: 6 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.

Question : DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, find KH.

Option 1: 12 cm

Option 2: 25 cm

Option 3: 16 cm

Option 4: 144 cm

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