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Let A(3, 2) and B(6, 5) be two points an...

Let A(3, 2) and B(6, 5) be two points and a point C (x,y) is chosen on the line y=x such that AC+BC is minimum, then the co-ordinates of C are:

A

`(1, 1_`

B

`(2, 2)`

C

`(3, 3)`

D

`(4, 4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Reflect `A(3, 2)` in the line to get a point`C(2, 3)` . Join BC and find its point of intersection with `y=x`.
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