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Question -

Find the values of yfor which the distance between the points P (2, – 3) and Q (10, y) is 10 units.



Answer -

Given: Distance between (2, – 3) and (10, y)is 10.

Using distance formula,

Simplify the above equation and find the valueof y.

Squaring both sides,

64 +(y+3)2 = 100

(y+3)= 36

y + 3 = ±6

y + 3 = +6 or y + 3 = −6

Therefore, y = 3 or -9.

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