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

The radii of two non-intersecting circles are r_{1} and r_{2} with r_{1} being the larger one and the smaller circle inscribed within the larger circle. if the least distance between their circumference be S, the distance between their centres is

**Options:**

A. r_{1} – r_{2} + S

B. r_{1} – r_{2}

C. r_{1} + r_{2} – S

D. r_{1} – r_{2} – S

**Answer: D**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 2**

CD is a common tangent to two circles with intersect each other at points A and B. Then, ∠CAD + ∠CBD is

**Options:**

A. 120 degrees

B. 360 degrees

C. 90 degrees

D. 180 degrees

**Answer: D**

**Solution: **

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**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 3**

In the figure below, two lines RP and SP touch a circle with center at O at points A and B respectively and meet at point P. If the line CD also touches the circle at point Q, then which of the following is correct?

**Options:**

A. BP = DP + PC + CD

B. 3BP = DP + PC + CD

C. 4BP = DP + PC + CD

D. 2BP = DP + PC + CD

**Answer: D**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 4**

In the figure below, ABRD is a quarter circle of radius 1 cm and a second circle is inscribed within the quarter circle touching it at three points. The radius of the inscribed circle (in cm) is

**Options:**

A. 1 – 2√2

B. (√2 + 1)/2

C. (√2 – 1)/2

D. (√2 – 1)

**Answer: D**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 5**

TP is the common tangent to two circles, the smaller with centre at O_{1} touching the larger circle it with centre at O_{2} at point P. The smaller circle is inside the larger one. If TQ is a second tangent to the larger circle at Q and TR is a second tangent to the smaller circle at R, then the ratio of TQ:TR is

**Options:**

A. 8 : 7

B. 7 : 8

C. 1 : 1

D. 5 : 4

**Answer: C**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 6**

In the figure below, two circles with centres at P and Q and each of radius 1 cm touch each other at O which is the centre of third circle of radius 2 cm. The fourth circle with centre at R touches all the three circles. The radius of the smallest fourth circle (in cm) is

**Options:**

A. 5

B. 2/3

C. 3/5

D. 3/7

**Answer: B**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 7**

The distance between the centres of two circles having radii 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is

**Options:**

A. 15

B. 12

C. 16

D. 18

**Answer: B**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 8**

AB is the diameter of a circle with centre at O. The tangent at C meets AB produced at Q. If ∠CAB = 34 degrees, then the value of ∠CBA is

**Options:**

A. 34 degrees

B. 56 degrees

C. 124 degrees

D. 68 degrees

**Answer: B**

**Solution:**

**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 9**

Two circles touch each other externally at A. PQ is a direct common tangent to the two circles with P and Q as points as points of contact. If ∠APQ = 35 degrees, then ∠PQA is

**Options:**

A. 75 degrees

B. 65 degrees

C. 35 degrees

D. 55 degrees

**Answer: D**

**Solution: **

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**SSC CGL Geometry Tangent To Circle Set 2 : Ques No 10**

Three circles of radius 6 cm each touch one another externally. Then the shortest distance from the centre of one circle to the line joining the centres of the other two circles is equal to

**Options:**

A. 6√7 cm

B. 6√2 cm

C. 6√5 cm

D. 6√3 cm

**Answer: D**

**Solution:**