Geometry

Circles

Easy

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

(7, 13)

(2, -1)

(1, 5)

(3, -2)

✅ Correct Option: 2

Centre is the midpoint of diameter AB. If B $=(x,y)$ , then $\frac{4+x}{2}=3$ and $\frac{9+y}{2}=4$ . So $x=2$ and $y=-1$ . Hence B $=(2,-1)$ .

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If point P(4, 2) lies on the circle having centre O(-1, 1), and C is the circumference of the circle, then value of $49C^2$ , is:

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

Solution

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