The point P(1, 2) divides the line joining the points A(-2, 1) and B(7, 4) in the ratio 2 : 1

True

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False

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Solution

The correct option is B
False

Let the required ratio be k :1, Then,
$\frac{7 k - 2}{k + 1} = 1 \Rightarrow 7 k - 2 = k + 1 \Rightarrow 6 k = 3 \Rightarrow k = \frac{1}{2}$

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