NEET Solved Paper 2017 Question 44

Question: If $ {\theta_1} $ and $ {\theta_2} $ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip $ \theta $ is given by

Options:

A) $ {{\tan }^{2}}\theta ={{\tan }^{2}}{\theta_1}-{{\tan }^{2}}{\theta_2} $

B) $ {{\cot }^{2}}\theta ={{\cot }^{2}}{\theta_1}+{{\cot }^{2}}{\theta_2} $

C) $ {{\tan }^{2}}\theta ={{\tan }^{2}}{\theta_1}+{{\tan }^{2}}{\theta_2} $

D) $ {{\cot }^{2}}\theta ={{\cot }^{2}}{\theta_1}-{{\cot }^{2}}{\theta_2} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ {{\cot }^{2}}\theta ={{\cot }^{2}}{\theta_1}+{{\cot }^{2}}{\theta_2} $