The distance (d) of a point P(x, y) from the origin (0, 0) in a Cartesian coordinate system can be calculated using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled 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.
In this case, the two sides of the right-angled triangle are the horizontal distance (x) and the vertical distance (y) from point P to the origin. Therefore, we have:
d² = x² + y²
To find the actual distance (d), we take the square root of both sides:
d = √(x² + y²)
So, the distance of point P(x, y) from the origin (0, 0) is given by the formula:
d = √(x² + y²)
This formula calculates the straight-line distance between the point P and the origin.
Answers & Comments
Step-by-step explanation:
The distance (d) of a point P(x, y) from the origin (0, 0) in a Cartesian coordinate system can be calculated using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled 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.
In this case, the two sides of the right-angled triangle are the horizontal distance (x) and the vertical distance (y) from point P to the origin. Therefore, we have:
d² = x² + y²
To find the actual distance (d), we take the square root of both sides:
d = √(x² + y²)
So, the distance of point P(x, y) from the origin (0, 0) is given by the formula:
d = √(x² + y²)
This formula calculates the straight-line distance between the point P and the origin.
Answer:
Distance Of point x,y from 0,0
=(x²+0²-y²+0²)^1/2
=(x²-y²)^1/2
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