Question

5.
A(2, 4) and B(5, 8), find the equation of
the locus of point P such that
PA2 - PB2 = 13.​

Answer 1

Step-by-step explanation:

Let x

1

,x

2

,x

3

,x

4

be four observations.

According to question

4

x

1

+x

2

+x

3

+x

4

=20

⇒x

1

+x

2

+x

3

+x

4

=80

After adding ’c’ to each observation the new A.M becomes 22.

⇒

4

(x

1

+c)+(x

2

+c)+(x

3

+c)+(x

4

+c)

=22

⇒(x

1

+x

2

+x

3

+x

4

)+4c=88

⇒80+4c=88

⇒4c=8

⇒c=2