If origin is shifted to \( \Large \left(7,\ -4\right) \) then point \( \Large \left(4,\ 5\right) \) shifted to

A) \( \Large \left(-3,\ 9\right) \)

B) \( \Large \left(3,\ 9\right) \)

C) \( \Large \left(11,\ 1\right) \)

D) none of these

Correct answer:
A) \( \Large \left(-3,\ 9\right) \)

Description for Correct answer:

Let X = x - h,

Y = y - k

=> 0 = 7 - h, 0 = -4 -k

=> h = 7, k = -4

Hence X = x - 7 and Y = y + 4, then the point \( \Large \left(4, \ 5\right) \) shifted to \( \Large \left(-3,\ 9\right) \)



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