Question

If P is a point on the y  axis such that 4 times its distance from

A(5, 2) is equal to twice its distance from B(8, 8), then find its

coordinates.​

Answer 1

y=±2

Step-by-step explanation:

Dear Student ,

Please find below the solution to the asked query :

Let the point P be (0,y) .

Now,

4AP=2BP

16AP²=4BP²

4AP²=BP²

4[(5−0)²+(2−y)²]=[(8−0)²+(8−y)²]

4 (25+4−4y+y²)=(64+64−16y+y²)

116−16y+4y²=128−16y+y²

4y²−y²=128−116

3y²=12

y²=4

y=±2

So , Point P is (0,2) or (0,−2) .

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Answer 2

Answer:

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