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Question

From Fig. 10.21, write

(i) all paris of parallel lines.
(ii) all pairs ofintersecting lines.
(iii) lines whose point of intersection is I.
(iv) lines whose point of intersection is D.
(v) lines whose point of intersection is E.
(vi) lines whose point of intersection is A.
(vii) Collinear points

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Solution

We have:

(i) All pairs of parallel lines: (l, m), (m, n) and (l, n)
(ii) All pairs of intersecting lines: (l, p), (m, p), (n, p), (l, r), (m, r), (n, r), (l, q), (m, q), (n, q), (q, p) and (q, r)
(iii) Lines whose point of intersection is I: (m, p)
(iv) Lines whose point of intersection is D: (l, r)
(v) Lines whose point of intersection is E: (m, r)
(vi) Lines whose point of intersection is A: (l, q)
(vii) Collinear points: (G, A, B and C), (D, E, J and F), (G, H, I , J and K), (A, H and D), (B, I and E), and (C, F and K)

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