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Saturday, 31 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 4 April 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

There are 5 points P1,P2,P3,P4,P5P_1, P_2, P_3, P_4, P_5 on the side AB, excluding A and B, of a triangle ABC. Similarly there are 6 points P6,P7,…,P11P_6, P_7, \ldots, P_{11} on the side BC and 7 points P12,P13,…,P18P_{12}, P_{13}, \ldots, P_{18} on the side CA of the triangle. The number of triangles, that can be formed using the points P1,P2,…,P18P_1, P_2, \ldots, P_{18} as vertices, is :
  1. (1)771771
  2. (2)776776
  3. (3)796796
  4. (4)751751Official answer

Official answer

Option 4

NTA final key.

Chapter
Permutations and Combinations
Topic
Permutations and Combinations
Idea tested
Triangles from Points with Collinearity

Same idea in other shifts

Asked 4× in all
  1. 3 Apr 2025, Shift 2 · Q7Line L1\mathrm{L_1} of slope 2 and line L2\mathrm{L_2} of slope 12\frac{1}{2} intersect at the origin O. In the first quadrant,…EasySingle correct
  2. 8 Apr 2025, Shift 2 · Q7There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total…EasySingle correct
  3. 17 Mar 2021, Shift 2 · Q72If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of triangles that can be…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.