Q.

At what point the origin be shifted, if the, coordinates of a point (4, 5) become (-3, 9)?

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a

(-7,4)

b

(7,-4)

c

(1,14)

d

(-4,7)

answer is B.

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Detailed Solution

Let (h,k) be the point to which the origin is shifted. Then,x=4, y=5, X=−3,Y=9∴ x=X+h and y=γ+k⇒ 4=−3+h and 5=9+k⇒h=7 and k=−4Hence, the origin must be shifted to (7, - 4)
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