The equation of the parabola whose focus is (3, - 4) and directrix 6x - 7y + 5 = 0 is

Question

The equation of the parabola whose focus is (3, - 4) and directrix 6x - 7y + 5 = 0 is (A) (7x + 6y)2 - 570x + 750y + 2100 = 0 (B) (7x + 6y)2 + 570x - 750y + 2100 = 0 (C)  (7x - 6y)2 - 570x + 750y + 1200 = 0 (D)  (7x - 6y)2 + 570x - 750y + 2100 = 0.

Tardigrade Admin · Accepted Answer

Correct answer is (a) (7x + 6y)2 - 570x + 750y + 2100 = 0

Q. The equation of the parabola whose focus is (3, - 4) and directrix $6 x - 7 y + 5 = 0$ is

$(7 x + 6 y)^{2} - 570 x + 750 y + 2100 = 0$

$(7 x + 6 y)^{2} + 570 x - 750 y + 2100 = 0$

$(7 x - 6 y)^{2} - 570 x + 750 y + 1200 = 0$

$(7 x - 6 y)^{2} + 570 x - 750 y + 2100 = 0.$

Correct answer is (a) $(7 x + 6 y)^{2} - 570 x + 750 y + 2100 = 0$

Q. The equation of the parabola whose focus is (3, - 4) and directrix 6x−7y+5=0 is

(7x+6y)2−570x+750y+2100=0

(7x+6y)2+570x−750y+2100=0

(7x−6y)2−570x+750y+1200=0

(7x−6y)2+570x−750y+2100=0.