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In the figure given below, AD = 4 cm, BD = 3 cm and CB = 12 cm, then cot 𝜃  equals

(a) 3/4  (b) 5/12   (c) 4/3   (d) 12/5

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Question 14 In the figure given below, AD = 4 cm, BD = 3 cm and CB = 12 cm, then cot 𝜃 equals (a) 3/4 (b) 5/12 (c) 4/3 (d) 12/5 To find cot θ, We need to find AB In right Δ ABD By Pythagoras theorem AB2 = AD2 + BD2 AB2 = 42 + 32 AB2 = 16 + 9 AB2 = 25 AB2 = 52 AB = 5 cm Now, tan 𝜃 = 𝐴𝐵/𝐵𝐶 tan 𝜃 = 5/12 Thus, cot 𝜃 = 𝟏𝟐/𝟓 So, the correct answer is (d)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.