NDA 2022 Maths · Mathematics · Conic Sections · easy

The eccentricity of every hyperbola is greater than 1. 2. The eccentricity of a parabola is exactly 1.

Single correct option

Which of the following statements is/are correct?
1. The eccentricity of every hyperbola is greater than

1

.
2. The eccentricity of a parabola is exactly

1

Show answer and solution

Answer: (C) Both $1$ and $2$

For a hyperbola

e^2=1+\frac{b^2}{a^2}>1

, so Statement 1 is true. A parabola is the locus with distance ratio

e=1

to focus and directrix, so Statement 2 is true. Both are correct.

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