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प्रश्न
The distance of which of the following points from the origin is less than 5 units?
विकल्प
(3, 4)
(2, 6)
(−3, −4)
(1, 4)
MCQ
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उत्तर
(1, 4)
Explanation:
Check distance (3, 4) from (0, 0) = `sqrt((3 - 0)^2 + (4 - 0)^2)`
= `sqrt(9 + 16)`
= 5
Check distance (2, 6) from (0, 0) = `sqrt((2 - 0)^2 + (6 - 0)^2)`
= `sqrt(4 + 36)`
= `sqrt40 > 5 `
Check distance (−3, −4) from (0, 0) = `sqrt((-3-0)^2+(-4 -0)^2)`
= `sqrt(9 + 16)`
= 5
Check distance (1, 4) from (0, 0) = `sqrt((1-0)^2 + (4 - 0)^2)`
= `sqrt(1 + 16)`
= `sqrt17 < 5`
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