Question

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Answer 1

Answer:

use distance formula

√((4-1)² + (p)² )= 5

3² + p² = 5²

p² = 16

p = ±4

thus correct option is B i.e ±4

Answer 2

Answer:

let the two points be AB

So, AB=5

distance formula:-

√(x2-x1)^2+(y2-y1)^2

here, x1=1. y1=p

x2=4. y2=o

By putting the values in the formula:-

√( 4-1)^2+( p-0)^2=5

=>√3^2+p^2 = 5

=> √9+p^2 =5

(on squaring both sides)

=> 9+ p^2=25

=> p^2=25-9

=> p^2= 16

=> p= +- 4