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A Lies on the X - Axis Amd B Lies on the Y -axis . the Midpoint of the Line Segment Ab is (4 , -3). Find the Coordinates of a and B . - Mathematics

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प्रश्न

A lies on the x - axis amd B lies on the y -axis . The midpoint of the line segment AB is (4 , -3). Find the coordinates of A and B .

योग

उत्तर

Coordinates of B are (14 , 6)

Let (x , 0) lies on the x - axis and B (0 , y) lies on y - axis , given AP : PB = 1 : 1

Coordinates of P are ,

P (4 , -3) = P `(("x" + 0)/2 , (0 + "y")/2)`

`4 = "x"/2 ,  , -3 = 4/2`

x = 8 , y = -6

Co-ordinates of A are (8 , 0) and B are (0 , -6)

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The Mid-point of a Line Segment (Mid-point Formula)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Distance and Section Formulae - Exercise 12.3

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 12 Distance and Section Formulae
Exercise 12.3 | Q 23
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