α is Root Of The Equation x2 – 5x + 6 = 0 And β is A Root Of The Equation x2– x – 30 = 0, Then Coordinates  of The Point P farthest From The origin Are

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Question

α is root of the equation x2 – 5x + 6 = 0 and β is a root of the equation x2– x – 30 = 0, then coordinates  of the point P farthest from the origin are

Solution

Correct option is

(3, 6)

 is farthest from the origin if P = (3, 6)

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