Question

if the distance between the points (2,-2)and(-1,y) is 5 units and the value of y is

Answer 1

Answer:

y=6

Step-by-step explanation:

Let d= Distance between the points

D=5

But, D= √[(2+1)²+ (-2-y)²]

⇒√[(2+1)²+ (-2-y)²]=5

⇒9+4+y²-4y=25

⇒y²-4y+13-25=0

⇒y²-4y-12=0

⇒y²-6y+2y-12=0

⇒y(y-6)+2(y-6)=0

⇒(y-6)(y+2)=0

⇒y=6 or, y=-2

∵D cannot be negative

∴y=6

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