Question

Assertion :Polar equation of the directrix of the conic $\frac{6}{r}=1+3\cos \theta$ is$\frac{6}{r}=3\cos \theta$ Reason: Polar equation of the directrix of the conic $\frac{l}{r}=1+e\cos \theta$ is$\frac{l}{r}=e\cos \theta$
The correct answer is

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

General equation of conic in polar form is, $\frac{l}{r}=1+e\cos \theta$
where ${}^{\prime }{l}^{\prime }$ is semi latus rectum and $r$ is distance from centre of the conic,
and equation of directrix is $\frac{l}{r}=e\cos \theta$
Thus both statement are correct and Reason is explanation of Assertion.