Quiz about MATHEMATICS 10 EXAM

Question 1

It is a part of a secant segment that is outside a circle.

Accepted Answer

External Secant

Answer

External Arc

Answer

Internal Secant

Answer

Common Secant

Question 2

Which of the following line segments intersects a circle at exactly two points?

Accepted Answer

Secant

Answer

Line

Answer

Ray

Answer

Tangent

Question 3

A line coplanar with the circle and intersects it in one and only one point.

Accepted Answer

Tangent

Answer

Angle

Answer

Arc

Answer

Secant

Question 4

A secant contains chord of a circle.

Accepted Answer

True

Answer

False

Answer

Maybe

Answer

Sometimes

Question 5

A line or segment or ray that is tangent to two circles in the same plane.

Accepted Answer

Common Tangent

Answer

Common Arc

Answer

Common Secant

Answer

Common Radius

Question 6

Which of the following illustrations do NOT show congruence

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 7

An inscribed angle is a right angle if it intercepts a _________________.

Accepted Answer

semicircle

Answer

whole circle

Answer

minor arc

Answer

major arc

Question 8

Which of the following represents a secant intersecting a circle?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 9

Which of the following represent a common external tangents?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 10

Which of the following represents a common internal Tangent?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

Which of the following represents a Tangent intersecting a circle?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 12

Which line is tangent to circle E

Accepted Answer

$$\overleftarrow{J}\overrightarrow{L}$$

Answer

$$\overleftarrow{A}\overrightarrow{T}$$

Answer

$$\overleftarrow{J}\overrightarrow{S}$$

Answer

$$\overleftarrow{N}\overrightarrow{L}$$

Question 13

What is the point of tangency?

Accepted Answer

T

Answer

A

Answer

L

Answer

N

Question 14

Which of the following is not a secant to circle E?

Accepted Answer

$$\overleftarrow{J}\overrightarrow{L}$$

Answer

$$\overleftarrow{A}\overrightarrow{T}$$

Answer

$$\overleftarrow{J}\overrightarrow{S}$$

Answer

$$\overleftarrow{N}\overrightarrow{L}$$

Question 15

Which of the following is the external secant of $$\angle SJL$$ ?

Accepted Answer

$$\overleftarrow{A}\overrightarrow{J}$$

Answer

$$\overleftarrow{J}\overrightarrow{L}$$

Answer

$$\overleftarrow{A}\overrightarrow{E}$$

Answer

$$\overleftarrow{E}\overrightarrow{L}$$

Question 16

Which of the following is the external tangent of $$\angle SJL$$ ?

Accepted Answer

$$\overleftarrow{J}\overrightarrow{L}$$

Answer

$$\overleftarrow{A}\overrightarrow{J}$$

Answer

$$\overleftarrow{A}\overrightarrow{E}$$

Answer

$$\overleftarrow{E}\overrightarrow{L}$$

Question 17

What is the measure of the arc intercepted by inscribed angle $$\angle NMO$$ if $$\angle NMO=85\degree$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 18

Question 18.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 19

Question 19.

Accepted Answer

$$130°$$

Answer

$$110°$$

Answer

$$100°$$

Answer

$$50°$$

Question 20

Question 20.

Accepted Answer

$$102°$$

Answer

$$78°$$

Answer

$$85°$$

Answer

$$95°$$

Question 21

The __________ angles of a quadrilateral inscribed in a circle are supplementary.

Accepted Answer

opposite

Answer

Adjacent

Answer

obtuse

Answer

vertical

Question 22

arc TM

Accepted Answer

$$116\degree$$

Answer

$$58\degree$$

Answer

$$174\degree$$

Answer

$$246\degree$$

Question 23

arc MA

Accepted Answer

$$64\degree$$

Answer

$$44\degree$$

Answer

$$58\degree$$

Answer

$$180\degree$$

Question 24

arc EA

Accepted Answer

$$116\degree$$

Answer

$$58\degree$$

Answer

$$270\degree$$

Answer

$$360\degree$$

Question 25

$$m\angle MEA=_{ }$$ ____

Accepted Answer

$$32°$$

Answer

$$64\degree$$

Answer

$$116\degree$$

Answer

$$160\degree$$

Question 26

$$m\angle TAM=_{ }$$ ____

Accepted Answer

$$58\degree$$

Answer

$$32°$$

Answer

$$116\degree$$

Answer

$$188\degree$$

Question 27

Which of the following is the relation of the two intersecting chord in the figure?

Accepted Answer

$$\overline{FS}\ ∙\ \overline{SA}=\overline{LS}\ ∙\ \overline{SG}\ $$

Answer

$$\overline{FA}\ ∙\ \overline{FS}=\overline{LG}\ ∙\ \overline{SG}$$

Answer

$$\overline{FA}\ ∙\ \overline{AS}=\overline{LG}\ ∙\ \overline{LS}\ $$

Answer

$$\overline{FA}\ ∙\ \overline{FS}=\overline{LS}\ ∙\ \overline{SG}$$

Question 28

What is the value of x?

Accepted Answer

8 units

Answer

3 units

Answer

5 units

Answer

9 units

Question 29

Which of the following is the relation of the two intersecting chord in the figure?

Accepted Answer

$$\overline{JA}\ ∙\ \overline{EA}=\overline{SA}\ ∙\ \overline{NA}$$

Answer

$$\overline{JA}\ ∙\ \overline{EA}=\overline{SN}\ ∙\ \overline{NA}$$

Answer

$$\overline{JA}\ ∙\ \overline{EA}=\overline{SA}\ ∙\ \overline{SN}$$

Answer

$$\overline{JE}\ ∙\ \overline{EA}=\overline{SN}\ ∙\ \overline{NA}$$

Question 30

What is the value of x?

Accepted Answer

5 units

Answer

3 units

Answer

8 units

Answer

9 units

Question 31

Which of the following is the relation of the two intersecting secant and tangent in the figure?

Accepted Answer

$$(\overline{MC})^2=\overline{MT}\ \ ∙\ \ \overline{MS}$$

Answer

$$(\overline{MT})^2=\overline{MS}\ \ ∙\ \ \overline{MC}$$

Answer

$$(\overline{MS})^2=\overline{MT}\ \ ∙\ \ \overline{MC}$$

Answer

$$(\overline{MC})^2=\overline{MS}\ \ ∙\ \ \overline{ST}$$

Question 32

What is the value of x?

Accepted Answer

6.32 units

Answer

6.64 units

Answer

10.5 units

Answer

-12.64 units

Question 33

Find the coordinates of the midpoint of $$\overline{AP}$$ whose end point are $$A(-4,0)$$ ; . $$P(2,-12)$$

Accepted Answer

$$(-1,-6)$$

Answer

$$(-5,-14)$$

Answer

$$(4,-4)$$

Answer

$$(10,12)$$

Question 34

Determine the distance between $$O(6,-12)$$ ; . $$T(2,-20)$$

Accepted Answer

8.94

Answer

4

Answer

13.42

Answer

16

Question 35

Determine the distance between $$H(-2,-4)$$ ; . $$E(10,-4)$$

Accepted Answer

12

Answer

4

Answer

13.42

Answer

16

Question 36

Find the coordinates of the midpoint of $$\overline{A_1J}$$ whose end point are $$A_1(-10,4)$$ ; . $$J(-16,-8)$$

Accepted Answer

$$(-13,-2)$$

Answer

$$(-10,-12)$$

Answer

$$(-14,4)$$

Answer

$$(15,-10)$$

Question 37

Determine the distance between $$P(2,-12)$$ ; . $$N(14,-12)$$

Accepted Answer

12

Answer

4

Answer

8

Answer

13.42

Question 38

Find the coordinates of the midpoint of $$\overline{RQ}$$ whose end point are $$R(-14,-12)$$ ; . $$Q(-6,-12)$$

Accepted Answer

$$(-10,-12)$$

Answer

$$(10,12)$$

Answer

$$(15,10)$$

Answer

$$(-5,-2)$$

Question 39

Determine the distance between $$I(-6,-4)$$ ; . $$T(2,-20)$$

Accepted Answer

17.89

Answer

4.47

Answer

8.94

Answer

13.42

Question 40

Find the coordinates of the midpoint of $$\overline{K_1L_1}$$ whose end point are $$K_1(-2,20)$$ ; . $$L_1(2,20)$$

Accepted Answer

$$(0,20)$$

Answer

$$(8,-8)$$

Answer

$$(-4,16)$$

Answer

$$(0,-20)$$

Question 41

Which of the following is the standard equation of a circle with center $$(-1,2)$$ and a radius of $$2\sqrt{5}$$ units.

Accepted Answer

$$(x+1)^2+(y-2)^2=20$$

Answer

$$(x+1)^2+(y-2)^2=2\sqrt{5}$$

Answer

$$(x-1)^2+(y-2)^2=2\sqrt{5}$$

Answer

$$(x-1)^2+(y+2)^2=20$$

Question 42

Which of the following is the general equation of a circle whose standard equation is $$(x-6)^2+(y-2)^2=81$$ ?

Accepted Answer

$$x^2+y^2-12x-2y-44=0$$

Answer

$$x^2+y^2+12x-2y+44=0$$

Answer

$$x^2+y^2+12x-2y-44=0$$

Answer

$$x^2+y^2-12x-2y+44=0$$

Question 43

Which of the following is the general equation of a circle whose standard equation is $$(x+4)^2+(y-9)^2=144$$ ?

Accepted Answer

$$x^2+y^2+8x-18y-47=0$$

Answer

$$x^2+y^2-8x-18y-47=0$$

Answer

$$x^2+y^2+8x+18y+47=0$$

Answer

$$x^2+y^2+8x-18y+47=0$$

Question 44

Which of the following is the standard equation of a circle with center $$(4,-1)$$ and a radius of 7 units?

Accepted Answer

$$(x-4)^2+(y+1)^2=49$$

Answer

$$(x+4)^2+(y-1)^2=49$$

Answer

$$(x+4)^2+(y-1)^2=-7$$

Answer

$$(x-4)^2+(y+1)^2=7$$

Question 45

In equation $$x^2+y^2-8x+2y-32=0$$ , what is the value of F?

Accepted Answer

$$-32$$

Answer

$$-8x$$

Answer

$$2y$$

Answer

$$0$$

Question 46

Given equation of the circle $$(x-2)^2+(y-4)^2=36$$ . Find the radius.

Accepted Answer

$$6$$

Answer

$$-2$$

Answer

$$4$$

Answer

$$36$$

Question 47

What is the center of a circle whose equation is $$(x-4)^2+(y+1)^2=49$$ ?

Accepted Answer

$$(4,-1)$$

Answer

$$(-4,16)$$

Answer

$$(-4,49)$$

Answer

$$7$$

Question 48

What is the center and radius of the circle $$x^2+y^2-6x-10y+18=0$$ ?

Accepted Answer

$$Center\ (3,5);\ Radius\ 4$$

Answer

$$Center\ (4,-1),\ Radius\ 9$$

Answer

$$Center\ (-1,2),\ Radius\ 7$$

Answer

$$Center\ (-3,5),\ Radius\ 18$$

Question 49

What is the center and radius of the circle $$4x^2+4y^2+12x-4y-90=0$$ ?

Accepted Answer

$$Center\left(-\frac{3}{2},\frac{1}{5}\right),\ Radius\ 5$$

Answer

$$Center\ \left(\frac{3}{2},\frac{1}{5}\right);\ Radius\ 4$$

Answer

$$Center\ (-4,16),\ Radius\ 9$$

Answer

$$Center\ (-1,2),\ Radius\ 7$$

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