Question

find the co ordinates of the point on x axis which are at yhe distance of 10 units from (3 6) ​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Let the points on x-axis be P(x,0) and Q(y,0) which are at distance of 10 units from point A(11,−8)

Which implies:

PA=QA

or PA2=QA2

(11−x1)2+(−8)2=(11−x2)2+(−8)2=102

(11−x)2+(−8)2=102

121=22x+x2+64=100

x2−22x+85=0

x2−12x−5x+85=0

x(x−17)−5(x−17)=0

(x−17)(x−5)=0

Either (x−17)=0 or (x−5)=0

x=17 or x=5

So, the points are: (17,0) and (5,0).

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