Q. 474.7( 23 Votes )

# Find the coordinates of a point A, where AB is a diameter of the circle whose centre is (2, -3) and B is (1, 4).

Answer :

Here given that AB is a diameter of the circle whose centre is (say) C(2, -3) and B is (1, 4)

Let A be (x, y)

We know that as C is center, AC = CB or C is midpoint of AB.

By midpoint formula,

x = , y =

For Center C,

2 = and -3 =

∴ x = 4 – 1 and y = -6 – 4

∴ x = 3 and y = -10

Hence, coordinates of A are (3, -10)

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