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In the adjoining figure, name:
(i) four pairs of intersecting lines
(ii) four collinear points
(iii) three noncollinear points
(iv) three concurrent lines
(v) three lines whose point of intersection is $ P $
"
Given: Lines AB, CD, PQ, RS, PS
To find:
(i) four pairs of intersecting lines
(ii) four collinear points
(iii) three noncollinear points
(iv) three concurrent lines
(v) three lines whose point of intersection is \( P \)
Solution:
(i) Intersecting lines are the lines that meet each other at some point.
- AB &QP
- CD & QP
- AB &RS
- CD & RS
(ii) Collinear points are points that lie on the same line
- P, R, Q & S
(iii) Noncollinear points are points that do not lie on the same line
- C, D, A & B
(iv) Concurrent lines meet at the same point
- AQ & AB
- SB & AB
- CP & CD
- RD & CD
(v) QP , CD & PS intersect at P
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