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Assertion (A): The point which divides the line segment joining the points A $(1, 2)$ and B$(-1, 1)$ internally in the ratio $1: 2$ is $(\frac{-1}{3}, \frac{5}{3})$
Reason (R): The coordinates of the point which divides the line segment joining the points A $(x_1, y_1)$ and B$(x_2, y_2)$ in the ratio $m_1: m_2$ are $(\frac{m_1x_2 + m_2x_1}{m_1 + m_2}, \frac{m_1y_2 + m_2y_1}{m_1 + m_2})$
Reason (R): The coordinates of the point which divides the line segment joining the points A $(x_1, y_1)$ and B$(x_2, y_2)$ in the ratio $m_1: m_2$ are $(\frac{m_1x_2 + m_2x_1}{m_1 + m_2}, \frac{m_1y_2 + m_2y_1}{m_1 + m_2})$
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
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Sol.
(D) Assertion (A) is false, but Reason(R) is true.
(D) Assertion (A) is false, but Reason(R) is true.