Question

The point (3, -4) is the centre of a circle. If AB is diameter of the circle and B is (5,-6) find the coordinates of A. *

(a) (1,2)

(b) (-1, 2)

(c) (1,-2)

(d) (-1,-2)

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Answer 1

Answer:

The answer is (c) {1,-2}, because...

Step-by-step explanation:

__________|____________

A(x,y). O(3,-4). B(5,-6)

Here, we have to find one end of the line segment which is A.

Let us take its point as -: x1= x.

y1= y.

Using mid point formula to find the point A.

Midpoint formula= x1+x2 , y1+y2

2. 2

In this center of the circle, O=(3,-4)

The other end of line segment, B=(5,-6)

Therefore, O= x+5 , y+(-6)

2. 2

(In this O=(3,-4)

Therefore,. (3,-4)=x+5 , y+(-6)

2. 2

x+5 = 3. ,. y+(-6) = -4

2. 2

x+5=3x2.

x+5=6.

x=6-5

therefore, x=1.

y-6= -4x2

y-6= -8

y= -8+6

therefore, y= -2.

Hope that this is helpful to you.