Coordinate Geometry Question 93
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
Options:
A) $ 4x-3y=0 $
B) $ 4x+3y=0 $
C) $ 3x+4y=0 $
D) $ 3x-4y=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Since OA and OP will be parallel only when O, A and P are collinear. Therefore, $ \begin{vmatrix} 0 & 0 & 1 \\ 3 & 4 & 1 \\ x & y & 1 \\ \end{vmatrix} =0\Rightarrow 4x-3y=0 $ .
BETA
