Home
Class 11
MATHS
Find the equation of the hyperbola whose...

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

Text Solution

AI Generated Solution

To find the equation of the hyperbola with the given focus, eccentricity, and directrix, we can follow these steps: ### Step 1: Identify the given values - Focus (S) = (1, 1) - Eccentricity (e) = 2 - Directrix (D) = x + y + 1 = 0 ### Step 2: Use the focal directrix property ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Example|3 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11A|37 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whose one focus is (-1, 1) , eccentricity = 3 and the equation of the corresponding directrix is x - y + 3 = 0 .

Find the equation the conic whose focus is (1, -1) eccentricity is 1/2 and the directrix is the line x - y = 3. Is the conic section an ellipse ?

Find the equation to the conic section whose focus is (1, -1), eccentricity is (1/2) and the directrix is the line x-y=3 . Is the conic section an ellipse?

Find the equation of the parabola whose focus is (-1,-2) and the equation of the directrix is given by 4x-3y+2=0 . Also find the equation of the axis.

Find the equation of the hyperbola whose : focus is (1,1) directrix is 2x+y=1 and eccentricity =sqrt(3)

Find the equation of the hyperbola whose : focus is (2,-1) directrix is 2x+3y=1 and eccentricity =2

Find the equation of the parabola whose focus is (1,1) and equation of directrix is x+y=1.

Find the equation of parabola whose focus is (0,-7) and directrix y=7 .

Find the equation of the hyperbola whose foci are (4,1), (8,1) and whose eccentricity is 2.

Find the equation of the hyperbola whose : focus is (1,1) directrix is 3x+4y+8=0 and eccentricity =2