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in Mathematics by (40 points)
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DIRECTION: In the following questions, a statement of Assertion \( (A) \) is followed by a statement of Reason (R). Mark the correct choice as: a) Both Assertion and reason are true and reason is the correct explanation of Assertion. b) Both Assertion and reason are true but reason \( (R) \) is not the correct explanation of Assertion c) Assertion is true but reason is false. d) Assertion is false but reason is trupe. 19. Assertion: The point which divides the line joining the points \( A(1,2) \) and \( R(-1,1) \) intenne!', in thes ratio \( 1: 2 \) is \( \left[\frac{-1}{5}, \frac{5}{3}\right] \). Keason: The courdinates or the point \( P(x, y) \) which divides the line segment joining the points \( A\left(x_{1}, y_{1}\right) \) and \( B\left(x_{2}, y_{2}\right) \) in the ratio \( m_{1}: m_{2} \) is \( \frac{m_{1} x_{2}+m_{2} x_{1}}{m_{1}+m_{2}}, \frac{m_{1} y_{2}+m_{2} y_{1}}{m_{1}+m_{2}} \)

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