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sir there r three ques that i m not getting jst a simple concept in them plz help with complete solution 1)find the point on y axis which is equidistance from points(5,5,2) & (3,1,2) 2)find tha points on tha x-y plane which is equidistance from points (0,3,2) (2,0,3) and (0,0,1) 3)a point R with z- coordinate 8 lies on the line segment joining the points p(2,-3,4) &q(8,0,10) find the coordinates of R.

sir there r three ques that i m not getting jst a simple concept in them plz help with complete solution
1)find the point on y axis which is equidistance from points(5,5,2) & (3,1,2)

2)find tha points on tha x-y plane which is equidistance from points (0,3,2)
(2,0,3) and (0,0,1)

3)a point R with z- coordinate 8 lies on the line segment joining the points
p(2,-3,4) &q(8,0,10)
find the coordinates of R.

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear cool gal

1)   let a point on y axix (0,y,0)

now use distance formula

[(5-0)2 +(5-y)2 +(2-0)2]1/2  = [(3-0)2 +(1-y)2 +(2-0)2]1/2

or

[(5-0)2 +(5-y)2 +(2-0)2]  = [(3-0)2 +(1-y)2 +(2-0)2]

or

25 + (5-y)=9+ (1-y)2

16 =(1-y)2 - (5-y)

16 =(1-y-5+y)(1-y+5-y)

16 =-4(6-2y)

40 = 8y

y=5


so point is  (0,5,0)


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Badiuddin

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