Circle-And-System-Of-Circles Question 383

Question: If $ \frac{x}{\alpha }+\frac{y}{\beta }=1 $ touches the circle $ x^{2}+y^{2}=a^{2} $ , then point $ (1/\alpha ,,1/\beta ) $ lies on a/an

[Orissa JEE 2005]

Options:

A) Both A and R are true and R is the correct explanation of A

B) Both A and R are true but R is not the correct explanation of A

C) A is true but R is false

D) A is false but R is true

Show Answer

Answer:

Correct Answer: A

Solution:

Both the sentences are true and R is the correct explanation of A, because for tangents which are parallel to x- axis, $ \frac{dy}{dx}=0 $ .