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CBSE Class 10 Answered

find the ratio in which the line segment joining A(2,-2)and B(-3,-5)is divided by the y axis.Also find the

coordinates of the point of division.

Asked by mdraishbst | 14 Sep, 2018, 06:59: PM
Expert Answer
Consider a point on y - axis is (0, y) which divides given points are in the ratio k : 1
Hence,
(0, y) = begin mathsize 16px style open parentheses fraction numerator 2 minus 3 straight k over denominator straight k plus 1 end fraction comma fraction numerator negative 2 minus 5 straight k over denominator straight k plus 1 end fraction close parentheses end style
begin mathsize 16px style fraction numerator 2 minus 3 straight k over denominator straight k plus 1 end fraction equals 0
2 minus 3 straight k equals 0
straight k equals 2 over 3 end style
Hence, y axis divides aB in the ratio 2 : 3
 
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