how many lines can be drawn in a figure of ten sides

There are 5 points marked on a plane, out of which 3 are collinear. How many lines can be drawn joining these points if a line shall contain at least 2 marked points? => 8 or 6 or 5 or 10..

Parallel Lines - Two lines are parallel to each other if (i) they do not meet, however far they are produced on either side. (ii) they are co-planar (they lie on the same plane) (i) The perpendicular distance between two parallel lines is the same at all poin..

Question: The sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. Find the number of triangles that can be drawn using these points as vertices. Answer: The points 3+4+5=12 points lie in a plane. To construct a triangle, we requir..

Question: In figure, E is the mid-point of AD of a trapezium ABCD with AB||DC. A line through E parallel to AB, meets BC in F. Show that F is the mid-point of BC. Answer: Given: E is the mid-point of AD of trapezium ABCD. AB||DC, EF||AB To prove: F is the mid-p..

Question: ABC is a triangle with vertices A(a, 5), B(6, -2) and C(-7, b). If (4, 2) are the Coordinates of its centroid, find a and b. [3 Mark] Answer: Centroid is a point where all the median intersect. Median is line joining the vertex to the mid point of opposite ..

and is of length p, is given by x cos a + y sin a = p. (Normal form) Every straight line has an equation of the form ax+by+c=0 and conversely an equation of the type ax+by+c=0 (a,b are both not equal to zero) always represents a straight line. Two lines are sa..

Median - Recall a line segment joining the vertex to the mid-point of the opposite side of a triangle. In D ABC, AD is the line segment drawn from A to BC (opposite side of A). AD is a median of a triangle. "The line segment jointing a vertex of a triangle to..

Question 1 - Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) ..

Find the slope of the line joining the midpoints of the sides AB ‾ and CD ‾ of the quadrilateral represented by A(10, 10), B(6, 4), C(18, 12) and D(10, 16). => 8 7 or 4 3 or 7 6 or 1..

Pick an appropriate line plot that represents the scores 20,20,20,21,21,22,22,23,23,23 and 24, of 10 students. => Figure 1 or Figure 2 or Figure 3 or Figure 4..