Assertion (A) : The point which divides the line segment joining … - Vidyadip

MCQ

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 $\left(\frac{-1}{3}, \frac{5}{3}\right)$
Reason (R) : The coordinates of the point 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 $m _1: m _2$ are
$
\left(\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}\right)
$

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.
✓
Assertion (A) is false, but Reason (R) is true.

✓

Answer

Correct option: D.

Assertion (A) is false, but Reason (R) is true.

d

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