Answer:
n = 5
Step-by-step explanation:
Coordinate of P = (n,3)
R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)
Coordinate of Q = (n,-2)
Using distance formula,
Distance between P & Q =
[tex] \sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} } [/tex]
[tex] = > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5[/tex]
Distance between P & R =
[tex] \sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} } [/tex]
[tex] = > \sqrt{ {n}^{2} } = n[/tex]
But in question it is given that distance between P & Q is equal to the distance between P & R. So,
[tex]n = 5[/tex]
