Mathematics
The point P(a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.
Reflection
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Answer
Let on reflection of P in origin,
Mo(a, b) = (-a, -b).
Now on reflection in y-axis,
My(-a, -b) = (a, -b)
Given, final co-ordinates after reflections = (4, 6).
Comparing with above equation we get,
⇒ (a, -b) = (4, 6)
⇒ a = 4 and -b = 6
⇒ a = 4 and b = -6.
Hence, a = 4 and b = -6.
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