Question

4) If A(1, 3) & B(2, 1) are points, find the equation of the focus of point P such
that PA = PB
(a) 2x + 4y - 5 = 0
(c) 2x - 4y + 5 = 0
(b) 2x – 4y - 5 = 0
(d) 2x + 4y + 5 = 0
​

Answer 1

Answer:

C. 2x-4y+5=0

Step-by-step explanation:

Here PA=PB

PA²=PB²

(X1-X2)²+(Y1-Y2)²=(X1-X2)²+(Y1-Y2)²

(1-X)²+(3-Y)²=(2-X)²+(1-Y)²

(1-2X+X²)+(9-6Y+Y²)=(4-4X+X²)+(1-2Y+Y²)

1-2X+X²+9-6Y+Y²=4-4X+X²+1-2Y+Y²

10-2X-6Y=5-4X-2Y

10-5= -4X+2X-2Y+6Y

5= -2X+4Y

-2X+4Y-5=0

taking out subtraction sign common

2x-4y+5=0