Q. 34.1( 15 Votes )

# Suppose P is a po

Answer :

In the figure, we have two points marked, P = (-8, 3) and O_{1} = (9, 5)

According to question O_{1} is the origin for a different coordinate system, X_{1}’O_{1}X_{1}↔ Y_{1}’O_{1}Y_{1}.

For coordinates of P in the new system, we have to find the distance between O_{1}and point P, __measured FROM P.__

By measuring distance on the graph above, we get

X_{1}= -17 and Y_{1}= -2

⇒ So, the coordinates of Point P in new system is (-17, -2)

OR,

Given, x= -8, y= 3

and a= 9, b=5 (Coordinates of O_{1})

As we know, x= a + x’

-8 = 9+ x’

x’ = -8-9

x’ = -17

similarly,

y= b + y_{1}

3 = 5+ y_{1}

y_{1} = 3-5

y_{1} = -2

New coordinate, (x_{1}, y_{1}) are (-17,-2)

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