Each of two parallel lines has a number f distinct points marked on them. on one line there are 2 points P and Q and ont eh other there are 8 points. i. Find the number of triangles formed hving three of the 10 points as vertices. ii. How many of these triangles include P but exclude Q?

Each of two parallel lines has a number of distinct points marked on them. On one line there are 2 points P and Q and on the other there are 8 points. i. Find the number of triangles formed having three of the 10 points as vertices. ii. How many of these triangles include P but exclude Q?

There are p coplanar parallel lines. If any 3 points are taken on each of the lines, the maximum number of triangles with vertices at these points is:

There are 10 points on a plane of which 5 points are collinear. Also, no three of the remaining 5 points are collinear. Then find (i) the number of straight lines joining these points: (ii) the number of triangles, formed by joining these points.

There are 10 points on a plane of which 5 points are collinear. Also, no three of the remaining 5 points are collinear. Then find (i) the number of straight lines joining these points: (ii) the number of triangles, formed by joining these points.

There are ten points in a plane. Of these ten points, four points are in a straight line and with the exceptionof these four points, on three points are in the same straight line. Find i. the number of triangles formed, ii the number of straight lines formed iii the number of quadrilaterals formed, by joining these ten points.

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.

There are 15 points in a plane, no three of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is:

Let L_1 and L_2 be two lines intersecting at P If A_1,B_1,C_1 are points on L_1,A_2, B_2,C_2,D_2,E_2 are points on L_2 and if none of these coincides with P, then the number of triangles formed by these 8 points is

The straight lines I_(1),I_(2),I_(3) are parallel and lie in the same plane. A total number of m point are taken on I_(1),n points on I_(2) , k points on I_(3) . The maximum number of triangles formed with vertices at these points are

There are 10 points in a plane out of these points no three are in the same straight line except 4 points which are collinear. How many (i) straight lines (ii) trian-gles (iii) quadrilateral, by joining them?