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Class X Worksheets

1.

In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4cm. If PA⊥ PB, then the length of each tangent is____

1.

8 cm

2.5 cm

3.2 cm

4.4 cm

2.

In the given figure, a circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the length of RN?

1.

5 cm

2.3 cm

3.2 cm

4.4 cm

3.

In the given figure, two circles with centres A and B touch each other externally at k. The length of PQ is_____

1.

18 cm

2.20 cm

3.27 cm

4.24 cm

4.

In the given figure, PA and PB are two tangents drawn to a circle with centre O and radius r. If OP = 2r, then APB is___

1.

Isosceles

2.Scalene

3.Equilateral

4.None of these

5.

In given figure, ABC is right angled at B. AB = 6 cm, BC = 8 cm. Find the radius r of the circle inscribed.

1.

1.5 cm

2.3 cm

3.2 cm

4.4 cm

6.

In the given, if PA and PB are tangents to the circle with centre O such that , then is equal to ____

1.
2.
3.
4.

7.

In the given figure, AP, AQ and BC are tangents to circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP is____

1.

15 cm

2.12 cm

3.10 cm

4.7.5 cm

8.

In given figure, a circle touches the side QR of PQR at A and sides PQ and PR on producing at S and T respectively. If PS = 7 cm, find the perimeter of PQR.

1.

12 cm

2.14 cm

3.7 cm

4.21 cm

9.

In the given figure, AB is a chord of the circle and AOC is its diameter such that . If AT is the tangent to the circle at the point A, then is equal to_____

1.
2.
3.
4.

10.

In given figure, O is the centre of a circle of radius 6 cm. At a distance of 10 cm from O, a point P is taken. Two tangents PQ and PR are drawn to the circle from this point. Then area of quadrilateral PQOR is____

1.

24

2.36

3.48

4.12

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