#### Geometry One Mark Questions

10th Standard EM

Reg.No. :
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Maths

Time : 00:30:00 Hrs
Total Marks : 15
15 x 1 = 15
1. If in triangles ABC and EDF,$\cfrac { AB }{ DE } =\cfrac { BC }{ FD }$ then they will be similar, when

(a)

$\angle B=\angle E$

(b)

$\angle A=\angle D$

(c)

$\angle B=\angle D$

(d)

$\angle A=\angle F$

2. In $\angle$LMN, $\angle$L=60o,$\angle$M=50o, If $\triangle$LMN~$\triangle$PQR then the value of $\angle$R is

(a)

40o

(b)

70°

(c)

30°

(d)

110°

3. If $\triangle$ABC is an isosceles triangle with $\angle$C=90o and AC = 5 cm, then AB is

(a)

2.5 cm

(b)

5 cm

(c)

10 cm

(d)

$5\sqrt { 2 }$cm

4. In a given figure ST||QR,PS=2cm and SQ=3 cm.
Then the ratio of the area of $\triangle$PQR to the area $\triangle$PST is

(a)

25 : 4

(b)

25 : 7

(c)

25 : 11

(d)

25 : 13

5. The perimeters of two similar triangles$\triangle$ABC and $\triangle$PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

(a)

$6\cfrac { 2 }{ 3 }$

(b)

$\cfrac { 10\sqrt { 6 } }{ 3 } cm$

(c)

$60\cfrac { 2 }{ 3 } cm$

(d)

15cm

6. if $\triangle$ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

(a)

1.4 cm

(b)

1.8 cm

(c)

1.2 cm

(d)

1.05 cm

7. In a $\triangle$ABC, AD is the bisector $\angle$BAC.If AB=5cm and DC=8cm. The length of the side AC is

(a)

6 cm

(b)

4 cm

(c)

3 cm

(d)

8 cm

8. In the adjacent figure $\angle BAC$=90o nd AD$\bot$BC then

(a)

BD-CD=BC2

(b)

AB.AC=BC2

(c)

(d)

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?

(a)

13 m

(b)

14 m

(c)

15 m

(d)

12.8 m

10. In the given figure PR=26 cm, QR=24cm,$\angle PAQ$ =90o, PA==6cm and QA=8 cm Find $\angle$PQR

(a)

80o

(b)

85o

(c)

75o

(d)

90o

11. A tangent is perpendicular to the radius at the

(a)

centre

(b)

point of contact

(c)

infinity

(d)

chord

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

(a)

one

(b)

two

(c)

infinite

(d)

zero

13. The two tangents from an external points P to a circle with centre at O are PA and PB.If $\angle APB$=70o then the value of $\angle AOB$ is

(a)

100°

(b)

110°

(c)

120°

(d)

130°

14. 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 andBC =7 cm, then the length of BR is

(a)

6 cm

(b)

5 cm

(c)

8 cm

(d)

4 cm

15. In figure if PR is tangent to the circle at P and O is the centre of the circle, then $\angle PQR$ is

(a)

120o

(b)

100°

(c)

110°

(d)

90°