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Four lines p, q, r and s are said to be concurrent. What do they pass through?
  • a)
    Same line
  • b)
    Same point
  • c)
    Same plane
  • d)
    Different points
Correct answer is option 'B'. Can you explain this answer?
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Four lines p, q, r and s are said to be concurrent. What do they pass ...
If the lines p, q, r and s are said to be concurrent they pass through the same point.  
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Four lines p, q, r and s are said to be concurrent. What do they pass ...
Concurrent Lines
When four lines are said to be concurrent, it means that they intersect or meet at a common point. This point is known as the point of concurrency.

Options
The question asks what the concurrent lines pass through. Let's analyze each option:

a) Same line: If the lines are concurrent, it means they intersect at a common point. Therefore, they cannot be on the same line.

b) Same point: This is the correct answer. When lines are concurrent, they intersect at a common point. This point is the point of concurrency.

c) Same plane: The lines may or may not be in the same plane. Concurrent lines can intersect in three-dimensional space, so they do not necessarily have to lie on the same plane.

d) Different points: Concurrent lines meet at a single point of intersection. Therefore, they do not pass through different points.

Therefore, the correct answer is option B, which states that concurrent lines pass through the same point.

Example
To better understand the concept of concurrent lines, let's consider an example.

Imagine we have four lines: p, q, r, and s. These lines are said to be concurrent.

If we extend the four lines, they will intersect at a common point. This point is the point of concurrency, and it is the same for all four lines.

The point of concurrency can be represented by a dot or a letter, such as point P. So, we can say that lines p, q, r, and s are concurrent at point P.

In conclusion, when lines are concurrent, they intersect at a common point, which is known as the point of concurrency. Thus, option B is the correct answer.
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Four lines p, q, r and s are said to be concurrent. What do they pass through?a)Same lineb)Same pointc)Same planed)Different pointsCorrect answer is option 'B'. Can you explain this answer?
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