SSC CGL CHSL Geometry | |||||||
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Tangent to Circle Questions Sets | |||||||

Set 1 | Set 2 | Set 3 | Set 4 |

**SSC CGL Geometry Circle Set 1 : Ques No 1**

In a cyclic quadrilateral ABCD, side AB is extended to E so that BE = BC. If ∠ADC = 70 degrees and ∠BAD = 95 degrees, then find ∠DCE

**Options:**

A. 140 degrees

B. 165 degrees

C. 120 degrees

D. 110 degrees

**Answer: A**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 2**

A, B and C are three points on the circumference of a circle. If AB = AC = 5√2 cm and ∠BAC = 90 degrees, then find the length of the radius

**Options:**

A. 15 cm

B. 5 cm

C. 10 cm

D. 20 cm

**Answer: B**

**Solution: **

**SSC CGL Geometry Circle Set 1 : Ques No 3**

If PN is the perpendicular from a point P on the circumference of a circle of radius 7 cm to its diameter AB and the length of the chord PB is 12 cm, the length of BN is

**Options:**

A. 6 5/7 cm

B. 3 5/7 cm

C. 12 2/7 cm

D. 10 2/7 cm

**Answer: D**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 4**

If the angle subtended by a chord at its center is 60 degrees, the ratio between the lengths of the chord and the radius is

**Options:**

A. 1 : 1

B. 2 : 1

C. √2 : 1

D. 1 : 2

**Answer: A**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 5**

AB and CD are two parallel chords of respective lengths 8 cm and 6 cm on the same side of the center of a circle. The distance between them is 1 cm. Then, the radius of the circle is

**Options:**

A. 4 cm

B. 5 cm

C. 3 cm

D. 2 cm

**Answer: B**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 6**

In an isosceles triangle ABC, AB = AC. A circle passing through B and touching AC at its middle point, intersects AB at P. Then AP : AB is

**Options:**

A. 2 : 3

B. 4 : 1

C. 1 : 4

D. 3 : 5

**Answer: C**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 7**

Two circles with centers at P and Q intersect each other at B and C. Two points on both sides of C are placed such on the circles that A, C, D are collinear with A on the first circle. If ∠APB = 130 degrees, then find ∠BQD

**Options:**

A. 130 degrees

B. 165 degrees

C. 65 degrees

D. 15 degrees

**Answer: A**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 8**

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of the inscribed circle is 6 cm. Then, the length of three sides (in cm) are

**Options:**

A. 30, 24, 25

B. 24, 36, 20

C. 18, 24, 30

D. 30, 40, 41

**Answer: C**

**Solution:**

**SSC CGL Geometry Circle Set 1 : Ques No 9**

The distance between two parallel chords of length 8 cm each in a circle of diameter 10 cm is

**Options:**

A. 7 cm

B. 6 cm

C. 5.5 cm

D. 8 cm

**Answer: B**

**Solution: **

**SSC CGL Geometry Circle Set 1 : Ques No 10**

A square ABCD is inscribed in a circle of unit radius. Semicircle are described externally on each side with the side as the diameter. The area of the region bounced by the semicircle and the circle is

**Options:**

A. 1 sq unit

B. 2.5 sq unit

C. 1.5 sq unit

D. 2 sq unit

**Answer: D**

**Solution:**

SSC CGL CHSL Geometry | |||||||
---|---|---|---|---|---|---|---|

Tangent to Circle Questions Sets | |||||||

Set 1 | Set 2 | Set 3 | Set 4 |