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The vectors i-2 x j -3 y k and i +3 x j +2 y k are orthogonal to each other. Then the locus of the point (x, y) is

Options

  1. Ahyperbola
  2. Bellipse
  3. Cparabola
  4. Dcircle

Correct answer

D. circle

Step-by-step solution

Two vectors are orthogonal, if its dot product or scalar product =0 aligned & ( i -2 x j -3 y k ) ( i +3 x j +2 y k )=0 & 1-6 x^2-6 y^2=0 or, x^2+y^2= 1 6 aligned This is a circle.

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