Find the value of K if A(3,K), B(K,3) are equal distance from the point P(0,2) - Maths - Coordinates

Question

Find the value of K if A(3,K), B(K,3) are equal distance from the
point P(0,2)?

Manbar Singh · Accepted Answer

We have, A3,k; Bk,3 and P0,2 as the given points
Now, PA = PB⇒3-02 + k-22 = k-02 + 3 - 22⇒9 + k-22 = k2 + 1⇒9 +k-22 = k2 + 1⇒9 + k2 + 4 - 4k = k2 + 1⇒13 - 4k = 1⇒-4k = -12⇒k = 3

Find the value of K if A(3,K), B(K,3) are equal distance from the point P(0,2)?