Question

If the axes are translated to the point 3,4 and then rotated through an angle 120 about p. The new co ordinates of the point whose original co ordinates are 1,-1 are


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Answer 1

Answer:

p'[(-2 + 5√3)/2, (-5 - √3)/2]

Step-by-step explanation:

Given,

p(x,y)  ----- >  (x - h, y - k)

(3,4)  ------- > (3 - 1, 4 + 1) = (2,5)

Given, ∅ = 120°.

Now,

x' = x cos∅ + y sin∅

  = 2 cos(120) + 5 sin(120)

 = 2 * (-1/2) + 5 * √3/2

 = -1 + (5√3/2)

= (-2 + 5√3)/2

y' = y cos∅ - x sin∅

  = 5 * cos(120) - 2 * sin(120)

  = 5 * (-1/2) - 2(√3/2)

 = -5/2 - (2√3)/2

 = -5/2 - √3

 = (-5 - √3)/2

Therefore,

p'[(-2 + 5√3)/2, (-5 - √3)/2]

Hope it helps!

Answer 2

Answer:

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