Question 91

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

Solution

(x , y) = ($$\frac{mx_{2}+nx_{1}}{m+n}$$ , $$\frac{my_{2}+ny_{1}}{m+n}$$)

(x , 0) = ($$\frac{m-4n}{m+n}$$ , $$\frac{4m+n}{m+n}$$)

4m+n = 0

4m = -n

m/n = -1/4

So the answer is option A.

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