Question

Q. If the point A(0,2) is equidistant from the points B(3,p) and C(p,5) find p. Also find the lenght of AB





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Answer 1

Answer:

p=1

Step-by-step explanation:

AB^2=AC^2. (given)

by distance formula,

= [√(3-0)^2+(p-2)^2]^2 =[√(p-0)^2+(5-2)]^2

= (3)^2 + (p-2)^2 = (p)^2 + (3)^2

=

=

equating the equation,we get

p=1