CONSTRUCTION OF TANGENTS TO A CIRCLE CONSTRUCTIONS 11 Class 10th Mathematics (Practice Sheet) 1 When constructing tangents to a circle from a point inside the circle, how many tangents can be drawn? A. Two B. One C. None D. Four 2 If a point lies on a circle, how many tangents can be drawn to the circle from that point? A. None B. One C. Two D. Three 3 When constructing tangents to a circle from a point outside the circle, how many tangents can be drawn? A. One B. Two C. Three D. Four 4 If the point of contact of a tangent with a circle is 5cm away from the center, and the radius of the circle is 3cm, what is the length of the tangent? A. 4cm B. 7cm C. 10cm D. 2cm 5 When constructing tangents to a circle, what is the angle formed between the tangent and the radius at the point of contact? A. 30 degrees B. 45 degrees C. 60 degrees D. 90 degrees 6 Construct a pair of tangents to the circle of radius 4cm from a point on the concentric circle of radius 9cm. 7 Draw a circle of radius 4cm with the centre O. Draw a diameter POQ, through P or Q draw a tangent to the circle. 8 Draw a pair of tangents to a circle of radius 5cm which is inclined to each other at an angle of 60°. 9 Draw a circle of diameter 6cm from a point P, which is 8cm away from its centre. Draw the two tangents PA and PB to the circle and measure their lengths. 10 Draw a circle of radius 3cm. Draw a tangent to this circle, making an angle of 30° with a line passing through the centre. Page 1 Email: Phone No: Website:
[email protected] +91 93299 65211 www.brisklearning.com Address: Office No. 605, CTS No. 658, Gayatri Bhuvan, A & B, Kandivali, Dattani Park, Thakur Village, Kandivali East, Mumbai, Maharashtra 400101
English