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# If the Points P (X, Y) is Equidistant from a (5, 1) and B (−1, 5), Then - Mathematics

MCQ

If the points P (xy) is equidistant from A (5, 1) and B (−1, 5), then

#### Options

•  5x = y

• x = 5y

• 3x = 2y

• 2x = 3y

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#### Solution

It is given that P (x , y)   is equidistant to the point A (5,1) " and " B (-1 , 5)

So,

PA^2 = PB^2

So apply distance formula to get the co-ordinates of the unknown value as,

(x - 5)^2 + (y - 1)^2 = (x +1)^2 + (y-5)^2

On further simplification we get,

25-10x + 1 - 2y = 1 +2x + 25 - 10y

So,

12x = 8y

Thus,

3x = 2y

Is there an error in this question or solution?
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 30 | Page 65
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#### Video TutorialsVIEW ALL [2]

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