Fifteen distinct points are randomly placed on the circumference of a circle .. At most how many triangles can be formed using these points?
Given:
15 distinct points on the circumference of a circle
We are to find the maximum number of triangles that can be formed from these points
Concept Used:
To form a triangle, we need to select 3 non-collinear points.
On a circle, no 3 points are collinear, so every combination of 3 points forms a triangle.
So, this becomes a combinations problem:
Solution:
Correct Option: (B) 455
The area of a triangle is 5 square units. Two of its vertices are } (2,1) and (3,-2). The third vertex, which lies on the line , is given by:
If in two triangles DEF and PQR, ∠D =∠Q and ∠R = ∠E, then which of the following is not true?
A triangle with vertices (4, 0), (−1, −1), and (3, 5) is:
The angles of a triangle x, y, and z are in descending order.
If 2x − y = 100° = 3y − 2z, its smallest angle is:
Fifteen distinct points are randomly placed on the circumference of a circle .. At most how many triangles can be formed using these points?
Which one of the following, drawn in a linear scale, represents the triangle shown in the figure above?
Select the CORRECT option
If the areas of two similar triangles are in the ratio 121 : 225, what would be the ratio of the corresponding sides?
In two triangle ABC and DEF, if
A tree broke at a height of 8 m from its foot and the broken upper part touches the ground at a point of 6 m from its foot. Find the height of the tree.
