Find the equaion of the hyperbola whose (i) focus is (0,3), directrix

1.	Find the equaion of the hyperbola whose (i) focus is (0,3), directrix is x+y-1=0 and eccentricity=2 (ii) foucs is (1,1), directrix is 3x+4y+8=0 and eccentricity=2 (iii) focus is (1,1), directrix is 2x+y=1 and 3ccentricity=√3 (iv) focus is 92,-1), firectrix is 2x+3y=1 and eccentricity =2. (v) focus is (a,0).directrix is 2x-y+a=0 and eccentricity =43 (vi) focus is (2,2), directiex is x+y=9 and eccentricity =2.
Answer» Find the equaion of the hyperbola whose (i) focus is (0,3), directrix is x+y-1=0 and eccentricity=2 (ii) foucs is (1,1), directrix is 3x+4y+8=0 and eccentricity=2 (iii) focus is (1,1), directrix is 2x+y=1 and 3ccentricity= $\sqrt{3}$ (iv) focus is 92,-1), firectrix is 2x+3y=1 and eccentricity =2. (v) focus is (a,0).directrix is 2x-y+a=0 and eccentricity = $\frac{4}{3}$ (vi) focus is (2,2), directiex is x+y=9 and eccentricity =2.

Find the equaion of the hyperbola whose (i) focus is (0,3), directrix is x+y-1=0 and eccentricity=2 (ii) foucs is (1,1), directrix is 3x+4y+8=0 and eccentricity=2 (iii) focus is (1,1), directrix is 2x+y=1 and 3ccentricity=√3 (iv) focus is 92,-1), firectrix is 2x+3y=1 and eccentricity =2. (v) focus is (a,0).directrix is 2x-y+a=0 and eccentricity =43 (vi) focus is (2,2), directiex is x+y=9 and eccentricity =2.

Answer»

Find the equaion of the hyperbola whose

(i) focus is (0,3), directrix is x+y-1=0 and eccentricity=2

(ii) foucs is (1,1), directrix is 3x+4y+8=0 and eccentricity=2

(iii) focus is (1,1), directrix is 2x+y=1 and 3ccentricity= $\sqrt{3}$

(iv) focus is 92,-1), firectrix is 2x+3y=1 and eccentricity =2.

(v) focus is (a,0).directrix is 2x-y+a=0 and eccentricity = $\frac{4}{3}$

(vi) focus is (2,2), directiex is x+y=9 and eccentricity =2.