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n Each questior carles' mars7. Find the ratio in which the line segment 2x 3y 1 - 0 divides the line segmentjoined by the points (5, 6) and (-4,-3). |
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Answer» Let line divides 2x+3y-1=0 to the segment joining (5,6) and (-4,-3) in k:1let point of intersect be (a,b)by intersection formula(a,b)=(-4k+5/k+1 , -3k+6/k+1)a=-5k+5/k+1 and b=-3k+6/k+1these point will also lie on line 2x+3y-1=0.hence point will satisfy this equation2×(-4k+5/k+1) + 3×(-3k+6/k+1) -1 =0-8k+20-9k+18-k-1=0-18k+37=0k=37/18ratio will be 37:18 |
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