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##### objective Ques (101 results)
1)

In the figure, PA is a tangent from an external point P to the circle with centre O. If $$\angle POB = 110 ^{\circ}$$, then measure of $$\angle APO$$ is:

SSC CGL 2020
A)

$$30 ^{\circ}$$

B)

$$25^{\circ}$$

C)

$$20 ^{\circ}$$

D)

$$40 ^{\circ}$$

2)

In the given fig. triangle ABC, $$\theta = 80^o$$ the measure of each of the other two angle will be:

SSC CGL 2020
A)

$$60^0$$

B)

$$40^0$$

C)

$$80^0$$

D)

$$50^0$$

3)

If angle of sector is 60°, radius is 3.5 cm then length of the arc is

Class 10 Maths
A)

3.66 cm

B)

3.56 cm

C)

1.66 cm

D)

3 cm

4)

The sides AB and AC of $${\Delta ABC}$$ are produced to P and Q resepectively. The bisectors of $${\angle CBP}$$ and$${\angle BCQ}$$ meet at R. If the measure of $${\angle A}$$ is 44º, then what is the measure of $${1\over2 }$$$${\angle BRC}$$

SSC CGL 2019
A)

33º

B)

38º

C)

34º

D)

32º

5)

In $${\Delta ABC}$$, D is a point on side BC such that $${\angle ADC}={\angle BAC}$$. If CA = 12cm, CB = 8cm, then CD is equal to :

SSC CGL 2019
A)

12 cm.

B)

15 cm.

C)

18 cm.

D)

16 cm.

6)

In $${\Delta ABC}, \angle A =52^0$$ and O is the orthocentre of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of $${\angle OBC}$$ and $${\angle OCB}$$ meet at P, then the measure of $${\angle BPC}$$ is :

SSC CGL 2019
A)

124º

B)

132º

C)

138º

D)

154º

7)

In $$\Delta ABC$$, AB = 6 cm, AC = 8 cm, and BC = 9 cm. The length of median AD is :

SSC CGL 2019
A)

$${\sqrt{317}\over 2}$$ cm

B)

$${\sqrt{119}\over 2}$$ cm

C)

$${\sqrt{313}\over 2}$$ cm

D)

$${\sqrt{115}\over 2}$$ cm

8)

PQRS is a cyclic quadrilateral in which PQ = 14.4 cm. QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, what is the length of PS?

SSC CGL 2019
A)

15.8 cm

B)

16.4 cm

C)

13.6 cm

D)

19.2 cm

9)

In $$\triangle ABC$$, AB=7cm, BC=10cm, and AC = 8 cm. If AD is the angle bisector of $$\angle BAC$$, where D is a point on BC, then BD is equal to:

SSC CGL 2019
A)

$${16 \over3}cm$$

B)

$${15\over4}cm$$

C)

$${14 \over3}cm$$

D)

$${17 \over4}cm$$

10)

The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the radius of the circle circumscribing the triangle?

SSC CGL 2019
A)

31.5 cm

B)

31 cm

C)

30 cm

D)

30.5 cm

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