Question

If the centre of the circle is ( 6, 4 ) and one end point of the diameter is ( -2, 5 ),then the coordinates of other end point of this diameter must be

Answer 1

Has one endpoint and extends infinitely in one direction ... *If the two angles of a triangle are congruent, then the sides opposite those angles ... A parallelogram with four congruent sides

Answer 2

Answer:

(14 , 3)

Step-by-step explanation:

Given,

Co-ordinates of :-

Centre of the circle(C) = (6 , 4)

One end point of the diameter(A) = (-2 , 5)

To Find :-

Co -ordinates of Other end point of the Diameter?(B)

Solution :-

According to Question :-

We can say that :- 'C' is the mid point of AB

Mid - Point Formula :-

C = $\sf\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)$

Let's Do :-

A = (-2 , 5) = (x_1 , y_1)

Let,

The co-ordinates of B = (x,y)

B = (x , y) = (x_2 , y_2)

$\implies$

(6 , 4) = $\sf\bigg(\dfrac{-2+x}{2},\dfrac{5+y}{2}\bigg)$

$6 = \dfrac{ - 2 + x}{2} \: and \: 4 = \dfrac{5 + y}{2}$

$6 \times 2 = - 2 + x \: and \: 4 \times 2 = 5 + y$

$12 = - 2 + x \: and \: 8 = 5 + y$

$x = 12 + 2 \: and \: 8 - 5 = y$

x = 14 and y = 3

Since the co-ordinates of other end of the diameter = B = (x , y) = (14 , 3).