Question

In the given figure write

(a) all pairs of parallel lines

(b) the line whose intersect point is E

(c) one set of collinear points

(d) any four pairs of intersecting lines

(e) the point of intersection of line m and t

(f) the point of intersection of line r and t

Answer 1

SOLUTION :

(a) all pairs of parallel lines  

Answer : $\bf{ (l,m) \: ; \: (m,n) \: ; \:  (l,n) }$

(b) the line whose intersect point is E  

Answer : $\bf{ (n,r) }$

(c) one set of collinear points  

Answer : A, B, C, D or D, E, F, G

(d) any four pairs of intersecting lines

Answer :   $\bf{ (l,r) \: ; \: (l,t) \: ; \: (m,r) \: ; \: (m,t) \: ; \:  (n,r) \: ; \: (n,t) \: ; \: (r,t) }$

(e) the point of intersection of line m and t  

Answer : B

(f) the point of intersection of line r and t

Answer : D

_________________________________

COLLINEAR POINTS : Three or more points in a plane surface which lie on the same line are called COLLINEAR POINTS.

INTERSECTING LINES : Two lines in a plane surface which cut each other at one point are called INTERSECTING LINES.

POINT OF INTERSECTION : The point meet is called the POINT OF INTERSECTION.

PARALLEL LINES : Two(or more) lines in a plane surface which do not meet anywhere in a plane surface are called PARALLEL LINES.

Answer 2

Gívєn :

• ( In the diagram )

Tσ fínd :

• all pairs of parallel lines
• the line whose intersect point is E
• one set of collinear points
• any four pairs of intersecting lines
• the point of intersection of line r and t

Sσlutíσn :

⠀⠀⠀⠀⠀⠀⠀⠀A :

$\bf {(l,m)\: (m,n) \:(l,n)}$

⠀⠀⠀⠀⠀⠀⠀⠀B :

$\bf {(n,r)}$

⠀⠀⠀⠀⠀⠀⠀⠀C :

$\bf {(a,b,c,d)\: (d,e,f,g)}$

⠀⠀⠀⠀⠀⠀⠀⠀D :

$\bf {(l,r)\: (l,t,)\: (m,r)\: (m,t)\: (n,r) \:(n,t)}$

⠀⠀⠀⠀⠀⠀⠀⠀E :

$\bf {(m\: and) \:(t)}$