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Question

Find the ratio in which the line segment joining A (6,4) and B(1,-7) is divided internally by x axis.

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Solution

For x-axis y=0
Let the ratio be k:1
Then kx2+1×x1k+1=a, ky2+1×y1k+1=0
k+6k+1=a, k(7)+4k+1=0
7k+4=0
7k=4
k=47
Ratio=4:7.

1162335_1280893_ans_9723f664f229498c955348d0bd376e8d.jpg

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