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
Answer: Option A
:
A
Since OA and OP will be parallel only when O, A and P are collinear.
Therefore, ∣∣
∣∣001341xy1∣∣
∣∣ = 0 ⇒ 4x - 3y = 0.
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:
A
Since OA and OP will be parallel only when O, A and P are collinear.
Therefore, ∣∣
∣∣001341xy1∣∣
∣∣ = 0 ⇒ 4x - 3y = 0.
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