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Question

α is a root of the equation: x25x+6=0 and β is a root of the equation x2x30=0, then coordinates (α,β) of the point P farthest from the origin are

A
(2,6)
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B
(2,3)
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C
(6,5)
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D
(3,6)
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Solution

The correct option is D (3,6)
x25x+6=0
(x3)(x2)=0
α can be 3 or 2.
x2x30=0
(x6)(x+5)=0
β can be 6 or 5.
So points which is farthest from origin is (3,6).

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