Question

In what ratio does the points p [-4,6] divide the line segment joining the points [-6,10] [3,-8]

Answer 1

HEY,
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FINDING DISTANCE BETWEEN THE POINTS SO AS TO DETERMINE THE RATIO :::

Distance between (-4,6) and (-6,10) is equal to :
= √{ (x2 - x1) ^2 + (y2 - y1) ^2 }
= √ { (-6 - (-4)) ^2 + (10-6)^2 }
= √ { ( -2 ) ^2 + (4) ^2
= √ { 4 + 16 }
= √20

Distance between (-4,6) and (3,-8) is equal to :
= √{ (x2 - x1) ^2 + (y2 - y1) ^2 }
= = √ { (3 - (-4)) ^2 + (-8 - 6)^2 }
= √ { ( 7 ) ^2 + (-14) ^2
= √ { 49 + 196 }
= √245

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The distance between (-4,6) and (-6,10) = √20
The distance between = (-4,6) and (-6,10) = √245

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RATIO OF THE DISTANCES = √245 / √20
=> √245 / √20
=> √ ( 245/20 )
=> √ (12.25)
= 3.5
=> 3.5 / 1

So the point p divides the line segment joining the points [-6,10] [3,-8] in the ratio = 3.5 : 1

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ANSWER = 3.5 : 1
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HOPE IT HELPS :):):):):):):):):):)):):):):)

Answer 2

HOPE IT HELPS YOU..............