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  2. Joint Entrance Examination - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination

    JEE-Main, unlike JEE-Advanced, has a fixed exam structure and is not subject to change every year. Up until 2018, the JEE-Main Paper-I was three hours long and consisted of thirty questions in each of the three subjects (physics, chemistry and maths). 4 marks are awarded for correct answers and 1 mark is deducted for incorrect answers. Students ...

  3. Joint Entrance Examination – Main - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination...

    [3] 2021 was the only year throughout JEE-Main history, when a maximum of 4 attempts were given to students. [4] In general, for the rest of the years, most students took the JEE-Main exam in either 1 or 2 attempts, even though a maximum of 3 attempts is allowed during two consecutive years.

  4. Joint Entrance Examination – Advanced - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination...

    JEE (Advanced) is conducted in two papers of three hours each – Paper-1 and Paper-2 (both compulsory) consist of questions from three major subjects: physics, chemistry and mathematics. Unlike most of the other exams, the type, the number of questions being asked in the paper, the total marks and the marking scheme varies from year to year ...

  5. Common Engineering Entrance Examination - Wikipedia

    en.wikipedia.org/wiki/Common_engineering...

    On 18 June 2012, a more specific format was proposed by a joint meeting of the councils of IITs, NITs, and IIITs. As per this proposal, the exam would be called the Joint Entrance Examination (JEE) and would be made up of two parts, JEE-Main [9] and JEE-Advanced. Two distinct "patterns of admission" would be used.

  6. Viviani's theorem - Wikipedia

    en.wikipedia.org/wiki/Viviani's_theorem

    For any interior point P, the sum of the lengths of the perpendiculars s + t + u equals the height of the equilateral triangle.. Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. [1]

  7. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. [ 1 ] For example, −4, 0, and 82 are even numbers, while −3, 5, 7, and 21 are odd numbers.

  8. Derivative test - Wikipedia

    en.wikipedia.org/wiki/Derivative_test

    As shown below, the second-derivative test is mathematically identical to the special case of n = 1 in the higher-order derivative test. Let f be a real-valued, sufficiently differentiable function on an interval I ⊂ R {\displaystyle I\subset \mathbb {R} } , let c ∈ I {\displaystyle c\in I} , and let n ≥ 1 {\displaystyle n\geq 1} be a ...

  9. Closest pair of points problem - Wikipedia

    en.wikipedia.org/wiki/Closest_pair_of_points_problem

    An algorithm for the dynamic closest-pair problem in dimensional space was developed by Sergey Bespamyatnikh in 1998. [10] Points can be inserted and deleted in O ( log ⁡ n ) {\displaystyle O(\log n)} time per point (in the worst case).