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Question 133

The ratio in which x-axis divides the line segment joining the points (3, -4) and (-2, 5) is

Solution

Solution

Let the required point be (x,0). Any point on x axis will have y ordinate 0

The two given points are

(3,-4) and (-2,5)

Using the formula

As y =0, so equating y part to 0.

0 = $$\frac{\left(m1\left(5\right)\ +\ m2\ \left(-4\right)\right)}{m1+m2}\ =\ \frac{\left(5m1+-4m2\right)}{m1+m2}=0$$
$$\ \left(5m1+(-4m)2\right)=0\ ;Hence\ \frac{m1}{m2}\ =\frac{4}{5}$$ External division. Answer

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