If P(x, y) be any point on 16x2 + 25y2 = 400 with foci F1 (3, 0) and F – InterviewSolution

1.

If P(x, y) be any point on 16x2 + 25y2 = 400 with foci F1 (3, 0) and F2 (- 3, 0) then PF1 + PF2 is (a) 8 (b) 6 (c) 10 (d) 12

Answer»

(c) 10

F₁P + F₂P = 2a

Here the equation is 16x² + 25y² = 400

(÷ by 400) ⇒ (16x²/400) + (25y²/400) = 1

⇒ (x²/25) + (y²/16) = 1

a² = 25 => a = 5

∴ 2a = 10

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