Home
Class 12
MATHS
The focus and the correspondin directrix...

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.

Text Solution

Verified by Experts

The correct Answer is:
`4x^(2)-5y^(2)-8x+60y+4=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of the directrix of a hyperbola is x-y+3=0. Its focus is (-1,1) and eccentricity 3. Find the equation of the hyperbola.

Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0 , find the equation of hyperbola is

Equation of the hyperbola with foci (+-2 ,0) and eccentricity 3/2 is

Find the equation of the hyperbola whose vertices are (pm2,0) and eccentricity is (3)/(2) .

The equation of one of the directrices of a hyperboda is 2x+y=1, the corresponding focus is (1, 2) and e=sqrt(3) . Find the equation of the hyperbola and the coordinates of the center and the second focus.

Find the equation of the hyperbola whose focus is (1,1), eccentricity is 2 and equation of directrix is x+y+1=0.

If the eccentricity of a hyperbola is sqrt(3) , the eccentricity of its conjugate hyperbola, is

let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal to that of the ellipse x^2+4y^2=4. if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is x^2/3-y^2/2=1 (b) a focus of the hyperbola is (2,0) (c) the eccentricity of the hyperbola is sqrt(5/3) (d) the equation of the hyperbola is x^2-3y^2=3

Find the equation of the hyperbola whose focus is (1,2), directrix 2x +y = 1 and eccentricity sqrt3.

Find the equation of the hyperbola whose : focus is (2,2) directrix is x+y=9 and eccentricity =2.