What is the distance between two points A(0, 4) and B(3, 0) on the coordinate axes?
Distance Formula

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Mathematics
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9th - 10th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
5 units
6 units
4 units
3 units
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a right triangle formed by points A(4, 5) and B(-3, -4), what is the approximate length of the hypotenuse?
7.5 units
9.8 units
13.2 units
11.4 units
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general formula for calculating the distance between two points (X1, Y1) and (X2, Y2) on a plane?
D = |X2 - X1| + |Y2 - Y1|
D = (X2 - X1) + (Y2 - Y1)
D = (X2 - X1)^2 + (Y2 - Y1)^2
D = √((X2 - X1)^2 + (Y2 - Y1)^2)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the square of X1 - X2 the same as the square of X2 - X1?
Because addition is commutative
Because the square of a number is always positive
Because multiplication is associative
Because subtraction is commutative
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the distance formula, what is the distance between points P(4, 6) and Q(6, 1)?
√5 units
10 units
5√5 units
5 units
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the distance formula in coordinate geometry?
It is used to determine the area of a triangle
It provides a method to calculate the distance between any two points on a plane
It is used to calculate the slope of a line
It helps in finding the midpoint of a line segment
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is used to derive the distance formula?
Fermat's Last Theorem
Pythagorean Theorem
Thales' Theorem
Euclid's Theorem
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