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Find the Value of Y for Which the Distance Between the Points a (3, −1) and B (11, Y) is 10 Units. - Mathematics

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Find the value of y for which the distance between the points A (3, −1) and B (11, y) is 10 units.

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Solution

The given points are A (3, −1) and B (11, y). 

It is given that AB = 10 units. 

`∴ sqrt((11-3)^2+[y-(-1)]^2=10)`

`rArr sqrt(64+(y+1)^2)=100`

`rArr 64+(y+1)^2=100`

`rArr (y+1)^2=100-64=36`

`rArr y+1=+-6`

`rArr y+1=6` or `y+1=-6`

`rArry=6-1=5` or `y=-6-1=-7`

Thus, the value of y is 5 or −7

Concept: Distance Formula
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