1.

At what point must the origin be shifted, if the coordinates of a point (-4,2) become (3, -2)?

Answer»

Let (h, k) be the point to which the origin is shifted. Then,

x = - 4, y = 2, X = 3 and Y = -2

∴ x = X + h and y = Y + k

⇒ - 4 = 3 + h and 2 = - 2 + k

⇒ h = -7 and k = 4

Hence, the origin must be shifted to (-7, 4)


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