Home
Class 12
MATHS
One of the foci of the hyperbola is ori...

One of the foci of the hyperbola is origin and the corresponding directrix is ` 3x + 4y + 1=0 ` .The eccentricity of the hyperbola is ` sqrt 5`.The equation of the hyperbola is

A

only I is true

B

only II is true

C

both I and II are ture

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 2|4 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 3|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola 4x^(2) -9y^(2) =36 is

The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

The focus and the correspondin directrix of a hyperbola are (1-3) and y=2 and eccentricity is 3/2. Find the equation of the hyperbola.

If 5/4 is the eccentricity of a hyperbola find the eccentricity of its conjugate hyperbola.

The eccentricity of the conjugate hyperbola of the hyperola x^(2)-3y^(2)=1 is

If the eccentricities of a hyperbola is sqrt3 ,then the eccentricity of its conjugates hyperbola is

One focus of a hyperbola is located at the point (1, -3) and the corresponding directrix is the line y = 2. Find the equation of the hyperbola if its eccentricity is (3)/(2)

One focus of a hyperbola is located at the point (1,-3) and the corresponding directrix is the line y=2. Find the equation of the hyperbola if its eccentricty is (3)/(2) .

If the eccentricity of a hyperbola is (5)/(3) , then the eccentricity of its conjugate hyperbola is