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Question

If the distance between points (p, –5) and (2, 7) is 13 units, then p is _____________


A

–3 or 7

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B

–7 or 3

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C

–3 or –7

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D

3 or 7

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Solution

The correct option is B

–3 or 7


Distance between points (x1,y1) and (x2,y2)

= (x2x1)2(y2y1)2

Distance between points (p, –5) and (2, 7) = 13 units

(2p)2+(7+5)2=13 units

(2p)2+(7+5)2=132

(2p)2=132122

(2p)2=52

2p=±5

p=7 or 3


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