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Question

# 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 ⇒(AC+CB)min=(AC+CB′)min Slope of AC=Slope of AB′y+20−5=−2−25+3y=12⇒C(0,12)

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