Question : Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the centre of the circle.

Option 1: 12 cm

Option 2: 9 cm

Option 3: 8 cm

Option 4: 10 cm

Question : The radius of a circle is 3 cm and 'O' is its centre. The length of the tangent (in cm) to the circle drawn from a point P, which is at a distance of 5 cm from 'O' is:

Option 1: 4

Option 2: 6

Option 3: 5

Option 4: 3

Question : Find the length of a tangent drawn to a circle with a radius 8 cm from a point 17 cm from the centre of the circle.

Option 1: 14 cm

Option 2: 12 cm

Option 3: 15 cm

Option 4: 10 cm

Question : In a circle with a centre at O(0,0) and a radius of 5 cm, AB is a chord of length 8 cm. If OM is perpendicular to AB, then the length of OM is:

Option 1: 2.5 cm

Option 2: 3 cm

Option 3: 4 cm

Option 4: 1 cm

Question : A circle of radius 5 cm and the length of tangent drawn from a point $X$ outside the circle is 12 cm. The distance of the point $X$ from the centre of the circle is:

Option 1: 12 cm

Option 2: 11 cm

Option 3: 10 cm

Option 4: 13 cm