Question

The nearest point on the line 2x-4y = 25 from the origin is
(i) (-4,5)
(ii) 3,-4
(iii) (3, 4)
(iv) (3,5)
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Answer 1

Answer:

Distance of the line 3x−4y−25=0 from the origin is

d=

25

∣−25∣

⇒d=5

Only the point given in option B lies on the given line .

Also, its distance from origin is 5.

So, (3,-4) is the nearest point on the line from the origin.