10th Maths Unit 4 Geometry Free Online Test

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1. In figure if PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is

1 point

120°

100°

110°

90°

Other:

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2. How many tangents can be drawn to the circle from an exterior point?

1 point

one

two

infinite

zero

Other:

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3. In ΔLMN, ∠L = 60°, ∠M = 50°. If ΔLMN - ΔPQR then the value of ∠R is.........

1 point

40°

70°

30°

110°

Other:

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4. The two tangents from an external points P to a circle with centre at O are PA and PB. If ∠APB = 70° then the value of ∠AOB is...........

1 point

100°

110°

120°

130°

Other:

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5. If in ΔABC, DE ll BC . AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is...................

1 point

1.4 cm

1.8 cm

1.2 cm

1.05 cm

Other:

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6. In figure CP and CQ are tangents to a circle with centre at O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is..............

1 point

6 cm

5 cm

8 cm

4 cm

Other:

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7. If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5cm, then AB is ..............

1 point

2.5 cm

5 cm

10 cm

5 √2 cm

Other:

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8. If in triangles ABC and EDF, AB/DE = BC/FD then they will be similar, when.............

1 point

∠B = ∠E

∠A = ∠D

∠B = ∠D

∠A = ∠F

Other:

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9. Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

1 point

13 cm

14 m

15 m

12.8 m

Other:

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10. A tangent is perpendicular to the radius at the..................

1 point

centre

point of contact

infinity

chord

Other:

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11. In a ΔABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is.................

1 point

6 cm

4 cm

3 cm

8 cm

Other:

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12. The perimeters of two similar triangles ΔABC and ΔPQR are 35 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is .............

1 point

6 2/3 cm

10 √6 / 3 cm

66 2/3 cm

15 cm

Other:

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13. If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5cm, then AB is

1 point

2.5 cm

5 cm

10 cm

5 √2 cm

Other:

Clear selection

14. If in ΔABC, DE ll BC . AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is ................

1 point

1.4 cm

1.8 cm

1.2 cm

1.05 cm

Other:

Clear selection

15. The two tangents from an external points P to a circle with centre at O are PA and PB. If ∠APB = 70° then the value of ∠AOB is......................

1 point

100°

110°

120°

130°

Other:

Clear selection

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