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If the point $P(k,0)$ divides the line segment joining the points $A(2,-2)$ and $B(-7,4)$ in the ratio $1:2$ , Ten the value of $k$ is
Option: 1 $1$
Option: 2 $2$
Option: 3 $-2$
Option: 4 $-1$

Answers (1)

$\\m_1 = 1 \\m_2 = 2$

$k = \frac{m_1x_2 + m_2x_1}{m_1 + m_2}$

$k = \frac{1(-7) + 2\times 2}{3}\Rightarrow k = -1$

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