Question

If the coordinates of one end of a diameter of a circle is (3,4) and the voordinate ofcits centre is (-3,2),then the coordinate of the othwr end of the diameter ise

Answer 1

Let one end of the diameter be (x,y).Since all the 3 points lie on the diameter they lie on the same line, where centre is the midpoint.

So -3=(3+x)/2 & 2=(4+y)/2 therefore

X=-9 &y=0

Answer 2

Answer:

(-9,0) is the coordinate of the other end.

Step-by-step explanation:

Since the given coordinate of (3,4) is present any where in the given x,y axis and the center is lying in the -x,y axis of (-3,2) so the other end of the diagonal must be anywhere with the coordinate lying in -x,y.

Since, the center is present as -3,2 so this point is in the middle of the two points let the other point to be found be (x,y). So, according to the formulae we will get that (x+3)/2 = -3 so on solving we will get the value of x to be -9. Again (y + 4)/2 = 2. So, on solving we will get the value of y to be 0.

Hence the other coordinate is (-9,0).