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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 $
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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.

  1. AB &QP
  2. CD & QP
  3. AB &RS
  4. 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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Updated on: 10-Oct-2022

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