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

Mathematics
JAMB 2001

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

  • A. 6.5 units
  • B. 13.0 units
  • C. 3.5 units
  • D. 7.0 units
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Correct Answer: Option A
Explanation

PQ\(^2\) = (x\(_2\) - x\(_1\))\(^2\)  + (y\(_2\) - y\(_1\))\(^2\) 
= 12\(^2\)  + 5\(^2\) 
= 144 + 25
= 169
PQ = \(\sqrt{169}\) = 13
But PQ = diameter = 2r, r = \(\frac{\text{PQ}}{2}\) = 6.5 units

There is an explanation video available below.


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Explanation Video

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JAMB CBT Software 2025 - Free Download
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