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6. If (a, b) is the mid-point of the line segment joining the points A (10,- 6), Bk 42- 25 = 18, find the value of k and the distance AB.INCERT EXEMPLAR29. Fu |
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Answer» Given,(a,b) is the midpoint of the a(10,-6) and b(k,4).a-2b=16.we know that, Midpoint = (x1+x2/2), (y1+y2/2)(a,b)=(10+k/2),(-6+4/2)(a,b)=(10+k/2),(-2/2)(a,b)=(10+k/2),(-1)by comparing on both sidesa=10+k/2 , b=-1we know that,a-2b=16=> 10+k/2 -2(-1)=16=> 10+k/2+2=16=>10+k/2=14=>10+k=28=>k=18 |
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