MCQ 1011 Mark
- ✓6 cm
- B8 cm
- C11 cm
- D10 cm
Answer
View full question & answer→Correct option: A.
6 cm
A
Questions · Page 3 of 3
M.C.Q (1 Marks)
MCQ 1021 Mark
In Fig. perimeter of quadrilateral $A B C D$ is
- A28 cm
- ✓34 cm
- C48 cm
- D36 cm
Answer
View full question & answer→Correct option: B.
34 cm
B
MCQ 1031 Mark
- A$x=95^{\circ}, y=95^{\circ}$
- B$x=100^{\circ}, y=90^{\circ}$
- ✓$x=100^{\circ}, y=85^{\circ}$
- D$x=85^{\circ}, y=90^{\circ}$
Answer
View full question & answer→Correct option: C.
$x=100^{\circ}, y=85^{\circ}$
C
MCQ 1041 Mark
If $P T$ is tangent drawn from a point $P$ to a circle touching it at $T$ and $O$ is the centre of the circle, then $\angle O P T+\angle P O T=$
- A$30^{\circ}$
- B$60^{\circ}$
- ✓$90^{\circ}$
- D$180^{\circ}$
Answer
View full question & answer→Correct option: C.
$90^{\circ}$
C
MCQ 1051 Mark
At one end of a diameter $P Q$ of a circle of radius 5 cm , tangent $X P Y$ is drawn to the circle. The length of chord $A B$ parallel to $X Y$ and at a distance of 8 cm from $P$ is
- A5 cm
- B6 cm
- C7 cm
- ✓8 cm
Answer
View full question & answer→Correct option: D.
8 cm
D
MCQ 1061 Mark
$A P$ and $A Q$ are tangents drawn from a point $A$ to a circle with centre $O$ and radius 9 cm . If $O A=15 cm$, then $A P+A Q=$
- A12 cm
- B18 cm
- ✓24 cm
- D36 cm
Answer
View full question & answer→Correct option: C.
24 cm
C
MCQ 1071 Mark
In Fig. the perimeter of $\triangle A B C$ is
- ✓30 cm
- B60 cm
- C45 cm
- D15 cm
Answer
View full question & answer→Correct option: A.
30 cm
A
MCQ 1081 Mark
- A8 cm
- B3 cm
- C2.5 cm
- ✓5 cm
Answer
View full question & answer→Correct option: D.
5 cm
D
MCQ 1091 Mark
In Fig. if $A D, A E$ and $B C$ are tangents to the circle at $D, E$ and $F$ respectively. Then,
- A$A D=A B+B C+C A$
- ✓$2 A D=A B+B C+C A$
- C$3 A D=A B+B C+C A$
- D$4 A D=A B+B C+C A$
Answer
View full question & answer→Correct option: B.
$2 A D=A B+B C+C A$
B
MCQ 1101 Mark
In Fig. if $T P$ and $T Q$ are tangents drawn from an external point $T$ to a circle with centre $O$ such that $\angle T Q P=60^{\circ}$, then $\angle O P Q=$
- A$25^{\circ}$
- ✓$30^{\circ}$
- C$40^{\circ}$
- D$60^{\circ}$
Answer
View full question & answer→Correct option: B.
$30^{\circ}$
B
MCQ 1111 Mark
- A$a=30^{\circ}, b=60^{\circ}$
- ✓$a=35^{\circ}, b=55^{\circ}$
- C$a=40^{\circ}, b=50^{\circ}$
- D$a=45^{\circ}, b=45^{\circ}$
Answer
View full question & answer→Correct option: B.
$a=35^{\circ}, b=55^{\circ}$
B
MCQ 1121 Mark
In Fig. if $A B=8 cm$ and $P E=3 cm$, then $A E=$
- A11 cm
- B7 cm
- ✓5 cm
- D3 cm
Answer
View full question & answer→Correct option: C.
5 cm
C
MCQ 1131 Mark
- A10 cm
- B12 cm
- ✓15 cm
- D18 cm
Answer
View full question & answer→Correct option: C.
15 cm
C
MCQ 1141 Mark
- A$3 / 2$
- B2
- ✓3
- D$1 / 4$
Answer
View full question & answer→Correct option: C.
3
C
MCQ 1151 Mark
In Fig. $P R=$
- A20 cm
- ✓26 cm
- C24 cm
- D28 cm
Answer
View full question & answer→Correct option: B.
26 cm
B
MCQ 1161 Mark
- A4.7 cm
- B5.3 cm
- ✓5 cm
- D7.3 cm
Answer
View full question & answer→Correct option: C.
5 cm
C
MCQ 1171 Mark
- ✓9 cm
- B18 cm
- C15 cm
- D13.5 cm
Answer
View full question & answer→Correct option: A.
9 cm
A
MCQ 1181 Mark
In Fig. if $P R$ is tangent to the circle at $P$ and $Q$ is the centre of the circle, then $\angle P O Q=$
- A$110^{\circ}$
- B$100^{\circ}$
- ✓$120^{\circ}$
- D$90^{\circ}$
Answer
View full question & answer→Correct option: C.
$120^{\circ}$
C
MCQ 1191 Mark
- A$\sqrt{91} cm$
- ✓$\sqrt{127} cm$
- C$\sqrt{119} cm$
- D$\sqrt{109} cm$
Answer
View full question & answer→Correct option: B.
$\sqrt{127} cm$
B
MCQ 1201 Mark
In Fig. if $A P=P B$, then
- A$A C=A B$
- ✓$A C=B C$
- C$A Q=Q C$
- D$A B=B C$
Answer
View full question & answer→Correct option: B.
$A C=B C$
B
MCQ 1211 Mark
In Fig.if $A B=12 cm, B C=8 cm$ and $A C=10 cm$, then $A D=$
- A5 cm
- B4 cm
- C6 cm
- ✓7 cm
Answer
View full question & answer→Correct option: D.
7 cm
D
MCQ 1221 Mark
If $P A$ and $P B$ are tangents to the circle with centre $O$ such that $\angle A P B=50^{\circ}$, then $\angle O A B$ is equal to
- ✓$25^{\circ}$
- B$30^{\circ}$
- C$40^{\circ}$
- D$50^{\circ}$
Answer
View full question & answer→Correct option: A.
$25^{\circ}$
A
MCQ 1231 Mark
In Fig. equal circles with centres $O$ and $O^{\prime}$ touch each other at $P . O O^{\prime}$ is produced to meet circle $C\left(O^{\prime}, r\right)$ at $A$. AT is a tangent to the circle $C(O, r)$. If $O^{\prime} Q$ is perpendicular to $A T$, then $\frac{A Q}{A T}=$
- A$\frac{2}{3}$
- B$\frac{1}{2}$
- C$\frac{1}{4}$
- ✓$\frac{1}{3}$
Answer
View full question & answer→Correct option: D.
$\frac{1}{3}$
D
MCQ 1241 Mark
If two perpendicular tangents $P A$ and $P B$ are drawn from an external point to a circle of radius 4 cm , then the length of each tangent is
- A3 cm
- ✓4 cm
- C5 cm
- D6 cm
Answer
View full question & answer→Correct option: B.
4 cm
B
MCQ 1251 Mark
$A B$ and $C D$ are two common tangents to circles which touch each other at $C$. If $D$ lies on $A B$ such that $C D=4 cm$, then $A B$ is equal to
- A4 cm
- B6 cm
- ✓8 cm
- D12 cm
Answer
View full question & answer→Correct option: C.
8 cm
C
MCQ 1261 Mark
The length of the tangent drawn from a point 8 cm away from the centre of a circle of radius 6 cm is
- A$\sqrt{7} cm$
- ✓$2 \sqrt{7} cm$
- C10 cm
- D5 cm
Answer
View full question & answer→Correct option: B.
$2 \sqrt{7} cm$
B
MCQ 1271 Mark
If four sides of a quadrilateral $A B C D$ are tangential to a circle, then
- A$A C+A D=B D+C D$
- ✓$A B+C D=B C+A D$
- C$A B+C D=A C+B C$
- D$A C+A D=B C+D B$
Answer
View full question & answer→Correct option: B.
$A B+C D=B C+A D$
B
MCQ 1281 Mark
$P Q$ is a tangent drawn from a point $P$ to a circle with centre $O$ and $Q O R$ is a diameter of the circle such that $\angle P O R=120^{\circ}$, then $\angle O P Q$ is
- A$60^{\circ}$
- B$45^{\circ}$
- ✓$30^{\circ}$
- D$90^{\circ}$
Answer
View full question & answer→Correct option: C.
$30^{\circ}$
C
MCQ 1291 Mark
$A B C$ is a right angled triangle, right angled at $B$ such that $B C=6 cm$ and $A B=8 cm$. A circle with centre $O$ is inscribed in $\triangle A B C$. The radius of the circle is
- A1 cm
- ✓2 cm
- C3 cm
- D4 cm
Answer
View full question & answer→Correct option: B.
2 cm
B
MCQ 1301 Mark
Two equal circles touch each other externally at $C$ and $A B$ is a common tangent to the circles. Then, $\angle A C B=$
- A$60^{\circ}$
- B$45^{\circ}$
- C$30^{\circ}$
- ✓$90^{\circ}$
Answer
View full question & answer→Correct option: D.
$90^{\circ}$
D
MCQ 1311 Mark
$P Q$ is a tangent to a circle with centre $O$ at the point $P$. If $\triangle O P Q$ is an isosceles triangle, then $\angle O Q P$ is equal to
- A$30^{\circ}$
- ✓$45^{\circ}$
- C$60^{\circ}$
- D$90^{\circ}$
Answer
View full question & answer→Correct option: B.
$45^{\circ}$
B
MCQ 1321 Mark
If the angle between the radii of a circle is $100^{\circ}$, then the angle between the tangents at the end of these two radii is
- A$50^{\circ}$
- B$60^{\circ}$
- ✓$80^{\circ}$
- D$90^{\circ}$
Answer
View full question & answer→Correct option: C.
$80^{\circ}$
C
MCQ 1331 Mark
How many parallel tangents can a circle have?
- A1
- B2
- ✓infinite
- Dnone of these
Answer
View full question & answer→Correct option: C.
infinite
C
MCQ 1341 Mark
The length of the tangent from a point $A$ at a circle, of radius 3 cm , is 4 cm . The distance of $A$ from the centre of the circle is
- A$\sqrt{7} cm$
- B7 cm
- ✓5 cm
- D25 cm
Answer
View full question & answer→Correct option: C.
5 cm
C
MCQ 1351 Mark
A tangent $P Q$ at a point $P$ of a circle of radius 5 cm meets a line through the centre $O$ at a point $Q$ such that $O Q=12 cm$. Length $P Q$ is
- A12 cm
- B13 cm
- C8.5 cm
- ✓$\sqrt{119} cm$
Answer
View full question & answer→Correct option: D.
$\sqrt{119} cm$
D