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Class X Worksheet

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1.

In the given circle PA = 4 cm and AB = 5 cm, find the length of PT which is a tangent to the circle at point T?

1.

6 cm

2.3 cm

3.9 cm

4.5 cm

2.

In the given figure LT is a straight line of 6cm. S is the mid-point. Semi-circles are drawn on LT, TS and LS as diameter. A circle is drawn which touches this three semi-circles. Find the radius of this circle.

1.

2 cm

2.1 cm

3.3 cm

4.4 cm

3.

In the given figure if , then is equal to_____

1.
2.
3.
4.

4.

A quadrilateral ABCD is drawn to circumscribe a circle such that AB = 6 cm, AD = 5 cm and CD = 7 cm. Find the length of BC?

1.

5 cm

2.8cm

3.11 cm

4.6 cm

5.

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively in the given figure. Find the length of AB

1.

13 cm

2.14 cm

3.10 cm

4.15 cm

6.

In the given figure, In the adjoining figure, is circumscribing a circle, then find the length of BC where AN = 3 cm, BN = 4cm and AC =8 cm.

1.

6 cm

2.7 cm

3.9 cm

4.8 cm

7.

In the given figure, two concentric circles of radii 13 cm and 5 cm are given. The chord AB of larger circle touches the smaller circle at C. The length of AB

1.

12 cm

2.24 cm

3.6 cm

4.10 cm

8.

In the given figure if from an external point T, TP and TQ are two tangents to a circle with centre O, so that POQ = 130°, then ∠ PTQ

1.
2.
3.
4.

9.

In the given figure from a point A, the length of a tangent to a circle is 8cm and distance of A from the circle is 10cm. The length of the diameter of the circle is

1.

8 cm

2.12 cm

3.6 cm

4.10 cm

10.

In the given figure, PA is a tangent to a circle of radius 3 cm and PA = 4 cm, then length of PB

1.

3 cm

2.4 cm

3.5 cm

4.8 cm

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