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Answers
Answer:
Step-by-step explanation:
Given :-
(1)A(2,-3) and B(-2,3)
(2) P(5,0) and Q (2,-3)
To find:-
Find the distance between the following points ?
Solution :-
1)
Given points are A(2,-3) and B(-2,3)
Let (x1, y1) = (2,-3)=> x1 = 2 and y1 = -3
Let (x2, y2) = (-2,3) => x2 = -2 and y2 = 3
We know that
The distance between two points (x1, y1) and (x2, y2) is √[(x2-x1)²+(y2-y1)²] units
The distance between the given two points A and B
=> AB =√[(-2-2)²+(3-(-3))²]
=> AB =√[(-4)²+(3+3)²]
=>AB =√[(-4)²+6)²]
=>AB = √(16+36)
=> AB =√52
=> AB =√(4×13)
=> AB =2√13 units
2)
Given points are P(5,0) and Q(2,-3)
Let (x1, y1) = (5,0)=> x1 = 5 and y1 = 0
Let (x2, y2) = (2,-3) => x2 = 2 and y2 = -3
We know that
The distance between two points (x1, y1) and (x2, y2) is √[(x2-x1)²+(y2-y1)²] units
The distance between the given two points P and Q
=> PQ =√[(2-5)²+(-3-0)²]
=> PQ =√[(-3)²+(-3)²]
=>PQ = √(9+9)
=> PQ =√18
=> PQ =√(2×9)
=> PQ=3√2 units
Answer :-
1) The distance between the two points A and B = √52 units or 2√13 units
2)The distance between the two points P and Q =√18units or 3√2 units
Used formulae:-
The distance between two points (x1, y1) and (x2, y2) is given by √[(x2-x1)²+(y2-y1)²] units