Indian Navy SSR (Sailor) JEE Main 2023 Mixed — practice questions

Explore 2 free JEE Main 2023 Mixed questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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JEE Main 2023 Mixed questions and exercises with answers

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lim_(x→0) (e^x - 1)/sin x =Read the answer and worked solution →In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):Read the answer and worked solution →

Worked practice questions

lim_(x→0) (e^x - 1)/sin x =

1
-1
0
∞

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Correct answer: A. 1

**Use Taylor:** e^x - 1 ≈ x for small x; sin x ≈ x. Ratio → 1. Also L'Hôpital: e^x / cos x → 1/1 = 1.

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In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):

sqrt(5)
5
sqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)
7

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Correct answer: C. sqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)

Cosine rule: c² = a² + b² - 2ab cos C = 4 + 9 - 2(2)(3)(1/2) = 13 - 6 = 7. c = √7.