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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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#### 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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#### Video TutorialsVIEW ALL [1]

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.
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