if P(2x-3 , x+2) and p'(x+2 , 2x-3) represent same point. the ordinate of P is
Answers
Answer:
The ordinate or y coordinate is 7
Step-by-step explanation:
Since P and P' represent the same point their respective y- coordinate or ordinate are the same
Hence,
x + 2 = 2x - 3
3 + 2 = 2x - x
5 = x
The ordinate = x + 2 = 2x - 3
= 5 + 2 or 10 - 3
= 7
Hence, the ordinate or y coordinate is 7.
Given : P(2x-3 , x+2) and P'(x+2 , 2x-3) represent same point.
To Find : the ordinate of P is
Solution:
P(2x-3 , x+2) and P'(x+2 , 2x-3) represent same point.
Equate abscissa with abscissa and ordinate with ordinate
=> 2x - 3 = x + 2
=> x = 5
or
x + 2 = 2x - 3
=> 5 = x
2x - 3 = 2(5) - 3 = 7
x + 2 = 5 + 2 = 7
P ( 7 , 7) and P'(7 , 7)
Ordinate of P is (y coordinate) = 7
the ordinate of P is 7
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