Quiz about Circles

Question 1

In circle of radius 6 cm. Chord of length $$10 ~cm$$ makes an angle of $$110^{\circ}$$ at the centre of circle. Find: Length of arc

Accepted Answer

Covalent bond

Answer

$$\frac{19 \pi}{3} ~cm$$

Answer

$$\frac{13 \pi}{3} ~cm$$

Answer

$$\frac{11 \pi}{3} ~cm$$

Answer

$$\frac{17 \pi}{3} ~cm$$

Question 2

![](http://admin.getprephub.com/media/editor/3269_20211219194334730761.png)
A playground is in the shape of a triangle with right angle at $$B, A B=3 {~m}$$ and $$B C=4 {~m}$$.A pit was dig inside it such that it touches the walls $$A C, B C$$ and $$A B$$ at $$P, Q$$ and $$R$$, respectively such that $$A P=x {~m}$$.
The value of $$A R=$$

Accepted Answer

Covalent bond

Answer

$$x {~m}$$

Answer

$$2 x {~m}$$

Answer

$$\frac{x} {2} {~m}$$

Answer

$$3 x {~m}$$

Question 3

![](http://admin.getprephub.com/media/editor/3269_20211219194615793449.png)
A playground is in the shape of a triangle with right angle at $$B, A B=3 {~m}$$ and $$B C=4 {~m}$$. $$A$$ pit was dig inside it such that it touches the walls $$A C, B C$$ and $$A B$$ at $$P, Q$$ and $$R$$, respectively such that A P=r {~m}$$.The value of $$B Q=$$

Accepted Answer

Covalent bond

Answer

$$(3-x) {m}$$

Answer

$$2 x {~m}$$

Answer

$$(2-x) {m}$$

Answer

$$4 x {~m}$$

Question 4

![](http://admin.getprephub.com/media/editor/3269_20211219194739077644.png)

A playground is in the shape of a triangle with right angle at $$B, A B=3 {~m}$$ and $$B C=4 {~m}$$. $$A$$ pit was dig inside it such that it touches the walls $$A C, B C$$ and $$A B$$ at $$P, Q$$ and $$R$$, respectively such that A P=r {~m}$$.
Which of the following is correct?

Accepted Answer

Covalent bond

Answer

Quadrilateral $$B R O Q$$ is a square

Answer

Quadrilateral $$AROP$$ is a square

Answer

Quadrilateral $$CQOP$$ is a square

Answer

None of the above

Question 5

![](http://admin.getprephub.com/media/editor/3269_20211219194739077644.png)
A playground is in the shape of a triangle with right angle at $$B, A B=3 {~m}$$ and $$B C=4 {~m}$$. $$A$$ pit was dig inside it such that it touches the walls $$A C, B C$$ and $$A B$$ at $$P, Q$$ and $$R$$, respectively such that$$ A P=x {~m}$$.Radius of the pit is

Accepted Answer

Covalent bond

Answer

$$1 {~m}$$

Answer

$$3 {~m}$$

Answer

$$4 {~m}$$

Answer

$$5 {~m}$$

Circles Gseb Class 10 Maths Problems and Solutions

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