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Given :-
- Coordinates of A = (-2 , -2 )
- Coordinates of B = ( 2, -4 )
- AP = 3/7AB or 3/7×AB
To Find :-
- Coordinates of P
Formula :-
- To find the distance between two points or coordinates is √(x1 - x2) ² + (y1 - y2 )²
Solution :-
Let the distance between coordinate of A and coordinate of B be - AB
Let the distance between coordinate of A and coordinate of P be - AP
Let here x1 be -2( 1st point of coordinate of A)
Let here x2 be 2(1st point of coordinate of B)
Let y1 here be -2 (Second point of coordinate of B)
Let y2 here be -4 (First point of coordinate of A)
Let the coordinates of P be ( x, y)
AB = √( x1 - x2 )² + ( y1 - y2 )²
=> AB = √(-2 - 2) ² + ( - 2 - (-4) ) ²
=> AB = √(- 4 )² + ( - 2 + 4 ) ²
=> AB = √ 16 + (2)²
=> AB = √ 16 + 4
=> AB = √20
Therefore, AB = 2√5 .
Now, according to the question the condition is :-
AP = 3/7 × 2√5
=> AP = 6√5 / 7
Now, here x1 = - 2 (
Now, here x2 =
Now, here y1 =
Now, here y2 =
Answer:
Given :-
Coordinates of A = (-2 , -2 )
Coordinates of B = ( 2, -4 )
AP = 3/7AB or 3/7×AB
To Find :-
Coordinates of P
Formula :-
To find the distance between two points or coordinates is √(x1 - x2) ² + (y1 - y2 )²
Solution :-
Let the distance between coordinate of A and coordinate of B be - AB
Let the distance between coordinate of A and coordinate of P be - AP
Let here x1 be -2( 1st point of coordinate of A)
Let here x2 be 2(1st point of coordinate of B)
Let y1 here be -2 (Second point of coordinate of B)
Let y2 here be -4 (First point of coordinate of A)
Let the coordinates of P be ( x, y)
AB = √( x1 - x2 )² + ( y1 - y2 )²
=> AB = √(-2 - 2) ² + ( - 2 - (-4) ) ²
=> AB = √(- 4 )² + ( - 2 + 4 ) ²
=> AB = √ 16 + (2)²
=> AB = √ 16 + 4
=> AB = √20
Therefore, AB = 2√5 .
Now, according to the question the condition is :-
AP = 3/7 × 2√5
=> AP = 6√5 / 7