The eccentricity of the hyperbola, 16x2 – 9y2 = 1.

  1. 3/5
  2. 2/5
  3. 5/4
  4. 5/3

Answer (Detailed Solution Below)

Option 4 : 5/3
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Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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I. The equation of a hyperbola with the centre at origin and foci on x – axis is given by:

 and the eccentricity

II. The equation of a hyperbola with the centre at origin and foci on y – axis is given by:

 and the eccentricity

Calculation:

Given: Equation of hyperbola is 16x2 – 9y2 = 1

The given equation of hyperbola can be written as:

Here, a2 = 1/16 and b2 = 1/9.

As we know that, the equation of a hyperbola with the centre at origin and foci on x – axis is given by:

 and the eccentricity

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