How many points (x,y) with integral co-ordinates are there whose distance from (1,2) is two units ?
1.one
2. two
3. three
4. four
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How many points (x,y) with integral co-ordinates are there whose distance from (1,2) is two units ?
1.one
2. two
3. three
4. four
How many points (x,y) with integral co-ordinates are there whose distance from (1,2) is two units ?
1.one
2. two
3. three
4. four
Correct option: (4) four
Explanation:
(x – 1)2 + (y – 2)2 = 4
It is possible only
Case I
(x – 1)2 = 0 and (y – 2)2 = 4
=> x = 1 and y = 0 , 4
so the points are (1 , 0) , (1 , 4)
Case II
(x – 1)2 = 4 and (y – 2)2 = 0
=> x = 3 , – 1 and y = 2
so the points are (3 , 2) , (3 , – 1)
So total four points are