A delivery man drives his bike from the point A(5,−2) and collects the order from the store C, which lies on y - axis. He then delivers the order to B(3,2). If the distance covered by the delivery man is minimum, then the co-ordinates of C is
A
(0,14)
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B
(0,16)
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C
(0,12)
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D
(0,1)
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Solution
The correct option is C(0,12) AC+CB needs to be minimum
Let's take the image of B(3,2) about y-axis ⇒CB=CB′, where B′(−3,2) is the image of B