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Question

Differential Equations Question on Differential Equations

Consider the family of curves x2 + y2 = 2x + 4y + k with a real parameter k > −5. Then the orthogonal trajectory to this family of curves passing through (2, 3) also passes through

A

(3, 4)

B

(−1, 1)

C

(1, 0)

D

(3, 5)

Answer

(3, 4)

Explanation

Solution

The correct option is (A) : (3, 4).