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MHT CET202012 Oct 2020Evening ShiftMathematicsCircleActual

If A (3,-2,2), B (2, +1,5) are the end points of the diameter of the circle and if the point (5,6,-1) lies on the circle, then =

Options

  1. A6
  2. B8
  3. C7
  4. D5

Correct answer

B. 8

Step-by-step solution

The angle subtended at the point P in the semicircle APB is a right angle. AP P B Now direction ratios of AP are (5-3,6+2,-1-2) i.e. (2,8,-3) Now direction ratios of PB are (2-5, +1-6,5+1) i.e. (-3, -5,6) Since AP P B , we write (2) (-3)+8( -5)-3(6)=0 -6+8 -40-18=0 =8

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