ICSE Class X Math 2013 Solved 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=\;{3+x}/{2} \;\text " and "\; 5=\;{-7+y}/{2}

\;⇒ 3+x=-4 \;\text " and "\; 10=-7+y

\;⇒ \;\; x=-4-3 \;\text " and "\; y=17

\;⇒ \;\; x=-7

Hence, the co-ordinate of

B(-7,17)

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