Question

O is the origin and A is the point (3,4). If a point P moves so that the line segment OP is always parallel to the line segment OA, then the equation to the locus of P is.

• A. $4x - 3y = 0$
• B. $4x + 3y = 0$
• C. $3x + 4y = 0$
• D. $3x - 4y = 0$

Answer 1

Answer: (A)

$4x - 3y = 0$

Answer 2

Since OA and OP will be parallel only when O, A and P are collinear.

Therefore .