Question

The area enclosed by the conic

$\sqrt{(x + 2)^{2} + y^{2}} + \sqrt{(x - 2)^{2} + y^{2}} = 8$is

• A. 2$\sqrt{3}$π sq. units
• B. 4$\sqrt{3}$π sq. units
• C. 8$\sqrt{3}$π sq. units
• D. 16$\sqrt{3}$π sq. units

Answer 1

Answer: (C)

8$\sqrt{3}$π sq. units

Answer 2

The given equation is in the form of SP+S¹P = 2a where 2a = 8 ⇒ a = 4 and S(1, 0), S’(-1, 0)

SS¹ = 2 =2ae ⇒ e = ¼.