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AP EAMCET20228 Jul 2022Morning ShiftMathematicsStraight LinesActual

If d ₁, ~d ₂, ~d ₃ are the distances of the point (1,2,3) from the X , Y , Z -coordinate axes respectively then 2 d₂^2+d₃^2+1=

Options

  1. Ad₁^2
  2. B2 d₁^2
  3. C3 d₁^2
  4. D4 d₁^2

Correct answer

B. 2 d₁^2

Step-by-step solution

We have distance d ₁, ~d ₂ and d ₃ of the point (1.2,3) from X,Y, Z. aligned & d ₁= 2^2+3^2 = 13 & ~d ₂= 1^2+3^2 = 10 & ~d ₃= 1^2+2^2 = 5 aligned Now 2 ~d ₂^2+ d ₃^2+1=2 10+5+1=26=2 ~d ₁^2

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