Home
Class 12
MATHS
The eccentricity of the hyperbola |sqrt(...

The eccentricity of the hyperbola `|sqrt((x-3)^2+(y-2)^2)-sqrt((x+1)^2+(y+1)^2)|=1` is ______

Text Solution

Verified by Experts

The correct Answer is:
5
For the given equation of the hyperbola, the foci are S(3, 2) and `S'(-1,-1)`.
Using the definition of hyperbola, `|SP-S'P|=2a` we have `SS'=5 and 2a=1`.
Hence, eccentricity is, `e=(SS')/(2a)=5`.
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE|Exercise JEE Main Previous Year|3 Videos

  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

  • HYPERBOLA

    CENGAGE|Exercise Exercise (Matrix)|5 Videos

  • HIGHT AND DISTANCE

    CENGAGE|Exercise JEE Previous Year|3 Videos

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Question Bank|25 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 , is

The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1 is

The eccentricity of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 is

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

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

The eccentricity of the conic represented by sqrt((x+2)^(2)+y^(2))+sqrt((x-2)^(2)+y^(2))=8 is