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The equation of a line through the point...

The equation of a line through the point (1, 2) whose distance from the point `(3,1)` has the greatest value is `y=2x` (b) `y=x+1` `x+2y=5` (d) `y=3x-1`

A

y = 2x

B

y = x +1

C

x + 2y = 5

D

y = 3x -1

Text Solution

Verified by Experts

The correct Answer is:
C
For the greatest distance, both points lie on a straight line.
`therefore` Required equation of line is
`y -2= (1-2)/(3-1) (x-1)`
`rArr x + 2y = 5`
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