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question mark

if the vectors i ​− 2xj − 3yk and i + 3xj + 2yk are orthogonal to each other , then the locus of the point (x , y ) is
  • hyperbola
  • ellipse
  • parabola
  • circle

Navin kumar acharya , 7 Years ago
Grade 12th pass
anser 1 Answers
Mohd Mujtaba

Last Activity: 7 Years ago

Answer is "circle". If these two vector are orthogonal then their dot product is 0. So (i-2xj-3yk).(i+3xj+2yk)=0. On solving we get 6x^2+6y^2=1. Or x^2+y^2=1/(root6)^2. Which is equation of circle. Thank☺☺☺☺

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