Question : A line touches a circle of radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel, then the distance between them is:
Option 1: 8 cm
Option 2: 12 cm
Option 3: 10 cm
Option 4: 6 cm
Correct Answer: 12 cm
Solution :
Let MN and PQ be two parallel tangents and AO = OB = 6 cm So, AB = AO + OB = 6 + 6 = 12 cm Hence, the correct answer is 12 cm.
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Question : Two parallel chords of lengths 40 cm and 48 cm are drawn in a circle of radius 25 cm. What will be the distance between the two chords?
Option 2: 15 cm
Option 3: 22 cm
Option 4: Either 8 cm or 22 cm
Question : A tangent is drawn from an external point 'A' to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point 'A' is:
Option 1: 17 cm
Option 2: 9 cm
Option 3: 7 cm
Option 4: 13 cm
Question : Two concentric circles are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle?
Option 1: 5 cm
Option 2: 8 cm
Option 4: 25 cm
Question : Out of two concentric circles, the radius of the outer circle is 6 cm and the chord PQ of the length 10 cm is a tangent to the inner circle. Find the radius (in cm) of the inner circle.
Option 1: $4$
Option 2: $\sqrt{7}$
Option 3: $\sqrt{13}$
Option 4: $\sqrt{11}$
Question : If the radius of two circles is 6 cm and 9 cm and the length of the transverse common tangent is 20 cm, then find the distance between the two centres.
Option 1: 25 cm
Option 2: 22 cm
Option 3: 24 cm
Option 4: 27 cm
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