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Find two points on the line …

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Find two points on the line through the points A(1,2,3) and B(3,5,9) at a distance of 14 units from the mid point of AB.

Posted by Diwakar Kumar 6 years, 10 months ago

Entrance Exam > JEE main > Mathematics

1 answers

Chandrashekhar Wankhede 6 years, 10 months ago

Find midpoint C of AB by midpoint formula. By distance formula length AB = 7 units. Let point D is at a distance of 14 units from C but nearer to B. Hence BD = 10.5 units and CB = 3.5 units. Hence B divides CD internally in ratio 1:3. Now we can find co-ordinates of D by using section formula.. Similarly we can find co-ordinates of Extreme Point nearer to A.

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Entrance Exam > JEE main > Mathematics

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Entrance Exam > JEE main > Mathematics