#### Question

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

#### 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

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