The coordinates of the point $(3, 7)$ in the new system when the origin is shifted to $(5, - 1)$ are

(8, 6)

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(2, - 8)

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(- 2, 8)

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(4, 3)

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Solution

The correct option is D $(- 2, 8)$
Let the point $(x, y)$ changes to $(X, Y)$ on shifting the origin to $(h, k)$
$x = X + h, y = Y + k$
$3 = X + 5, 7 = Y - 1$
$\Rightarrow X = - 2, Y = 8$
So, the new coordinates are $(- 2, 8)$

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The coordinates of the point (3,7) in the new system when the origin is shifted to (5,−1) are

The correct option is D (−2,8)Let the point (x,y) changes to (X,Y) on shifting the origin to (h,k)x=X+h,y=Y+k3=X+5,7=Y−1⇒X=−2,Y=8So, the new coordinates are (−2,8)

The coordinates of the point $(3, 7)$ in the new system when the origin is shifted to $(5, - 1)$ are

The correct option is D $(- 2, 8)$
Let the point $(x, y)$ changes to $(X, Y)$ on shifting the origin to $(h, k)$
$x = X + h, y = Y + k$
$3 = X + 5, 7 = Y - 1$
$\Rightarrow X = - 2, Y = 8$
So, the new coordinates are $(- 2, 8)$