Which of the following pair (s) of curves is/are orthogonal.

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. y² = 4ax ; y = e^–x/2a
2. y² = 4ax ; x² = 4ay at (0, 0)
3. xy = a² ; x² – y² = b²
4. y = ax ; x² + y² = c²

Answer

(A) y 2 = 4ax ; y = e –x/2a, (B) y 2 = 4ax ; x 2 = 4ay at (0, 0), (C) xy = a 2 ; x 2 – y 2 = b 2, (D) y = ax ; x 2 + y 2 = c 2

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