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The centre of the circle having end points of it's one diameter as (-4,2)and (4,-3) |
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Answer» Answer: Let AB be a diameter of the circle having its centre at C(1, -3) such that the coordinates of one end A are (4, -1). Let the coordinates of B be (x,y). Since C is the mid-point of AB. Therefore,the coordinates of C are( 2 x+4
, 2 y−1
). But, the coordinates of C are given to be (1,-3). ∴ 2 x+4
=1and 2 y−1
=−3 ⇒x+4=2andy−1=−6 ⇒x=−2andy=−5 Hence,the coordinates of B are (-2, -5). Step-by-step EXPLANATION: HOPE it will help you |
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