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#### Important Graph and Geometry Question

10th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 100
10 x 10 = 100
1. Draw a circle of radius 3.2 cm. Take a point P on this circle and draw a tangent at P. (using the centre)

2. Draw a circle of radius 3 cm. From an external point 7 cm away from its centre, constructthe pair of tangents to the circle and measure their lengths.

3. Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 6 cm. Also, measure the lengths of the tangents.

4. Construct a $\Delta ABC$ such that AB = 6 cm, $\angle C$ = ${ 40 }^{ o }$ and the altitude from C to AB is of length 4.2 cm.

5. Construct a $\Delta ABC$ such that BC = 5 cm. $\angle A$ = 45oand the median from A to BC is 4 cm.

6. Construct a cyclic quadrilateral ABCD where AB = 6 cm, AD = 4.8 cm, BD = 8 cm and CD = 5.5 cm.

7. Construct a cyclic quadrilateral ABCD with AB = 7 cm, $\angle A$= 80o, AD = 4.5 cm and BC = 5 cm.

8. Construct a cyclic quadrilateral ABCD, given AB = 6 cm, $\angle ABC$ = 70o, BC = 5 cm and $\angle ACD$ = 30o

9. Draw a circle of radius 5.4 cm. At a point P on it, draw a tangent to the circle using the tangent-chord theorem.

10. Construct ΔABC in which BC = 6.2 cm, ㄥA = 60o and the altitude through A is 2.6 cm. Measure the length of median through A.