Fill in the blanks .
(i) Two lines having no common point are called `underline(P)` lines .
(ii) The minimum number of lines required to form a closed figure is `underline(Q)`.
(iii) A chord that passes through the centre of a circle is `underline(R)`.
(iv) `(3)/(5)` of a right angle is `underline(S)`.

Options

A. `{:(P ,, Q ,, R ,, S ) , ("Intersecting" ,, 2 ,, "diameter" ,, 90^(@)):}`
B. `{:(P ,, Q ,, R ,, S ) , ("Parallel" ,, 3 ,, "radius" ,, 70^(@)):}`
C. `{:(P ,, Q ,, R ,, S ) , ("Intersecting" ,, 4 ,, "segment" ,, 60^(@)):}`
D. `{:(P ,, Q ,, R ,, S ) , ("Parallel" ,, 3 ,, "diameter" ,, 54^(@)):}`

Answer

Let's solve the question step by step:

### Step 1: Identify the type of lines with no common point
- Two lines that do not intersect at any point are called **parallel lines**.
- Therefore, for (i), the answer is **parallel**.

### Step 2: Determine the minimum number of lines for a closed figure
- To form a closed figure, we need at least three lines. The simplest closed figure is a triangle, which requires three sides (or lines).
- Thus, for (ii), the answer is **3**.

### Step 3: Understand the chord that passes through the center of a circle
- A chord that passes through the center of a circle is known as the **diameter** of the circle.
- Therefore, for (iii), the answer is **diameter**.

### Step 4: Calculate \( \frac{3}{5} \) of a right angle
- A right angle measures \( 90^\circ \). To find \( \frac{3}{5} \) of a right angle, we calculate:
\[ \frac{3}{5} \times 90^\circ = \frac{270}{5} = 54^\circ \]
- Thus, for (iv), the answer is **54 degrees**.

### Final Answers
- (i) **parallel**
- (ii) **3**
- (iii) **diameter**
- (iv) **54 degrees**

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