Straight Line Question 335

Question: The equation of the line which cuts off the intercepts $ 2a\sec \theta $ and $ 2acosec\theta $ on the axes is

Options:

A) $ x\sin \theta +y\cos \theta -2a=0 $

B) $ x\cos \theta +y\sin \theta -2a=0 $

C) $ x\sec \theta +ycosec\theta -2a=0 $

D) $ xcosec\theta +y\sec \theta -2a=0 $

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Answer:

Correct Answer: B

Solution:

  • Using the intercept form of the line $ \frac{x}{2a\sec \theta }+\frac{y}{2acosec\theta }=1\Rightarrow x\cos \theta +y\sin \theta =2a $ .