ICSE Class X Math 2013 Solved Paper

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

Question : 11

Total: 46

The coordinates of B .

Solution:

Let the coordinate of B be (x,y) .
Given C is the mid-point of AB .
Therefore
‌−2=‌

3+x

‌ and ‌5=‌

−7+y

‌⇒3+x=−4‌ and ‌10=−7+y
‌⇒‌‌x=−4−3‌ and ‌y=17
‌⇒‌‌x=−7
Hence, the co-ordinate of B(−7,17) .

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