Question

Ques:The points which is equi–distant from the points (0, 0), (0, 8) and (4, 6) is. Answer fast. No spam

Answer 1

Answer:

(1/2,4)

Step-by-step explanation:

Let (x, y) is equidistant from the points (0,0) , (0,8) and (4,6) .

if we assume O(x, y), A(0,0), B(0,8) and C(4,6)

then, OA = OB = OC

or, OA² = OB² = OC²

use distance formula,

so, x² + y² = x² + (y - 8)²

y² = y² - 16y + 64

y = 4 .........(1)

x² + y² = (x - 4)² + (y - 6)²

x² + 4² = x² - 8x + 16 + (4 - 6)² [ from equation (1)]

16 = -8x + 16 + 4

x = 1/2.

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