Draw a line l, and take two points A and B on it. Through A and B, draw lines L2 and L3 perpendicular to L1. On L2, mark a point C at a distance 4cm from L1 and draw a line L4 parrallel to L1 through C . If L4 intersect L3 at D , what type of quadrilateral is ABDC?
(only steps of construction)
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The straight lines L1, L2, L3 are parallel and lie in the same plane. A total number of m points are taken on L1.n points on L2 and k points on L3. Then maximum number of triangles formed with vertices at these points are:
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Correct option is B)
The straight lines L1,L2,L3 are parallel and lie in the same plane. A total number of m points are taken on L1. n points on L2 and k points on L3.
Then maximum number of triangles formed with vertices at these points are= (Selecting 3 points from the m+n+k points to form a triangle)− [(m points lie on same line so selecting 3 points from this will not form a triangle) +(n points lie on same line so selecting 3 points from this will not form a triangle)+(k points lie on same line so selecting 3 points from this will not form a triangle)]
Number of Triangles=
n+m+k
C
3
−(
n
C
3
+
m
C
3
+
k
C
3
)