ICSE Class X Math 2013 Paper

$A B$ is a diameter of a circle with centre $C=$ $(-2,5)$ . If $A=(3,-7)$ . Find:

Question : 11 of 46

Marks: +1, -0

The coordinates of

B

Solution:

Let the coordinate of

B

(x, y)

Given

C

is the mid-point of

A B

Therefore

-2 = \frac{3+x}{2} \text{ and } 5 = \frac{-7+y}{2}

\Rightarrow 3+x=-4 \text{ and } 10=-7+y

\Rightarrow x=-4-3 \text{ and } y=17

\Rightarrow x=-7

Hence, the co-ordinate of

B(-7,17)

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