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The distance of the point ( – 3, 4) from the origin is
- a)5 units
- b)1 unit
- c)25 units
- d)7 units
Correct answer is option 'A'. Can you explain this answer?
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The distance of the point ( – 3, 4) from the origin isa)5 unitsb...
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The distance of the point ( – 3, 4) from the origin isa)5 unitsb...
To find the distance of a point from the origin, we can use the distance formula. The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The distance formula in a two-dimensional coordinate system is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the point (3, 4) represents the coordinates (x1, y1) and the origin (0, 0) represents the coordinates (x2, y2). Plugging these values into the formula, we get:
distance = sqrt((0 - 3)^2 + (0 - 4)^2)
= sqrt((-3)^2 + (-4)^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
So, the distance of the point (3, 4) from the origin is 5 units.
Therefore, the correct answer is option 'A': 5 units.
The distance formula in a two-dimensional coordinate system is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the point (3, 4) represents the coordinates (x1, y1) and the origin (0, 0) represents the coordinates (x2, y2). Plugging these values into the formula, we get:
distance = sqrt((0 - 3)^2 + (0 - 4)^2)
= sqrt((-3)^2 + (-4)^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
So, the distance of the point (3, 4) from the origin is 5 units.
Therefore, the correct answer is option 'A': 5 units.
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The distance of the point ( – 3, 4) from the origin isa)5 unitsb)1 unitc)25 unitsd)7 unitsCorrect answer is option 'A'. Can you explain this answer?
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