Find the ratio in which the x-axis cuts the join of the points A(4,5) and B(-10,-2). Also, find the point of intersection.
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Correct Answer – (5:2, P(-6,0)
Let the required ratio be k:1 and let P(x,0) be the point of divison. Then, `(kxx(-2)+1xx)/(k+1)=0 Rightarrow k=(5)/(2)` So, the required ratio=5:2