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Question

The values of $$x$$ and $$y$$, if $$\displaystyle \left (x-1,y+3 \right )=\left ( 4,4 \right )$$ are


A
x=5 and y=1
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B
x=1 and y=5
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C
x=4 and y=7
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D
x=7 and y=5
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Solution

The correct option is A $$x = 5$$ and $$y = 1$$
The given point is $$P\left( x-1,y+3 \right) =\left( 4,4 \right)$$
If the co-ordinates of a point P is represented by $$P(x,y)=(p,q)$$, then the
 abscissa $$x=p$$ and the ordinate $$y=q$$.
Here the abscissa is $$x-1$$ and the ordinate is $$y+3$$. 
Also $$p=q=4$$. 
$$\therefore  x-1=4\Longrightarrow x=5$$ and $$y+3=4\Longrightarrow y=1.$$
So, $$(x,y)=(5,1)$$ 

Mathematics

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