InterviewSolution
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InterviewSolution
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Find the ratio in which the point `P(x,2)` divides the line segment joining the points `A(12,5) and B(4, -3)`. Also find the value of `x`. |
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Answer» Let the required ration be k:1. Then, by section formula, the coordinates of P are `P((4k+12)/(k+1), (-3k +5)/(k+1))` But, this point is given as P(x, 2). `therefore (-3k +5)/(k+1) = 2 rArr -3k + 5 = 2k +2 rArr 5k = 3 rArr k = (3)/(5).` So, the required ratio is 3:5. Putting `k = (3)/(5)` in P, we get `x = ({4 xx (3)/(5) + 12})/(((3)/(5) +1)) = (72)/(8) = 9.` Hence, x = 9. |
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