Mathematics · JEE | CONIC SECTIONS

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The eccentricity of a hyperbola is always greater than 1. Reason (R): For a hyperbola, \( c > a \) since \( c^2 = a^2 + b^2 \) and \( b^2 > 0 \). In the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.