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Find the value of y for which the distan...

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

A

-5

B

-6

C

4

D

-7

Text Solution

Verified by Experts

The correct Answer is:
D
We have
AB= 10 `rArr AB^(2) = 100`
`rArr (11-3)^(2) + (y+1)^(2) = 100`
`rArr 8^(2) + (y+1)^(2) = 100`
`rArr (y+1)^(2) = 100-64 = 36 = 6^(2)`
`rArr y+1 = +-6`
`rArr y+1 = 6 "or" y+1 = -6`
`rArr y = 5 "or" y = -7`
Hence, the required values of y and 5 and -7
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