Consider of the following points ?

Consider of the following points ?

  1. (0, 5)
  2. (2, -1)
  3. (3, -4 )

Which of the above lie on the line 3x + y =5 and at a distance √10 from (1, 2) ?

  1. 1 only
  2. 2 only
  3. 1 and 2 only
  4. 1, 2 and 3
Anurag Mishra Professor Asked on 3rd March 2016 in Maths.
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1 Answer(s)

Answer: (2) 2 only

Explanation:-
If we taken option (1) (0, 5)
Then, two points will be (0, 5) & (1, 2)
So, the distance between points = √{(0 – 1)² – (5 – 2)²}
=  √1² – (3)²
= √1 – 9
= √-8
This is not satisfy on the line.

Taken option (2)  (2, – 1)
Then, two points (2, -1)  & (1, 2)
So, the distance between points = √{(2 – 1)² + (-1 – 2)²}
= √(1)² + (-3)²
= √1 + 9
= √10
This option is satisfy on the line.

Hence, the correct answer is option (2) 2 only.

Anurag Mishra Professor Answered on 4th March 2016.
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