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AP EAMCET2011MathematicsVector Algebra

If 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. Aa circle
  2. Ban ellipse
  3. Ca parabola
  4. Da straight line

Correct answer

A. a circle

Step-by-step solution

Since, vectors are orthogonal. aligned & ( i -2 x j -3 y k ) ( i +3 x j +2 y k )=0 & 1-6 x^2-6 y^2=0 x^2+y^2= 1 6 aligned Hence, the locus of a point is a circle.

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