# Consider of the following points ?

Consider of the following points ?

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

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

- 1 only
- 2 only
- 1 and 2 only
- 1, 2 and 3

**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.