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P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given…

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Mathematics JAMB 2021

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

  • 6.5 units checkmark
  • 13.0 units
  • 3.5 units
  • 7.0 units

The correct answer is: A

Explanation

PQ\(^2\) = (x2 - x1)\(^2\)  + (y2 - y1)\(^2\) 

= 12\(^2\)  + 5\(^2\) 
= 144 + 25
= 169

PQ = √169 = 13

But PQ = diameter = 2r, r = PQ/2 = 6.5 units

There is an explanation video available .

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