Geometrical Problems

JEE Main Mathematics · Permutations and Combinations · 8 questions, latest first

• Let p_n denote the total number of triangles formed by joining the vertices of an n-side regular polygon. If p_n+1-p_n=66, then…20262 April, Shift 2 · Q7
• Let ABC be a triangle. Consider four points p_1, p_2, p_3, p_4 on the side AB, five points p_5, p_6, p_7, p_8, p_9 on the side…202622 January, Shift 1 · Q23
• There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the…20258 April, Shift 2 · Q7
• Let p be the number of all triangles that can be formed by joining the vertices of a regular polygon P of n sides and q be the…20257 April, Shift 2 · Q8
• Line L_1 of slope 2 and line L_2 of slope 1/2 intersect at the origin O. In the first quadrant, P_1, P_2, …, P_12 are 12 points…20253 April, Shift 2 · Q7
• The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon…20246 April, Shift 1 · Q3
• There are 5 points P_1, P_2, P_3, P_4, P_5 on the side A B, excluding A and B, of a triangle A B C. Similarly there are 6 points…20244 April, Shift 1 · Q7
• The lines L_1, L_2, …, L_20 are distinct. For n=1,2,3, …, 10 all the lines L_2 n-1 are parallel to each other and all the lines…20241 February, Shift 2 · Q22